Submissions

Asymptotic solution of natural convection in a uniformly Joule-heating shallow cavity

xiaohui zhang, Soochow University, , China

Abstract: The steady laminar two-dimensional Joule heating natural convection is investigated using asymptotical analysis, the fluid is in a rectangular cavity, the direct current contributes heat for heating the process medium by a pair of plate electrodes, the top wall is cooled with atmosphere and all the other walls are kept thermally insulated. The asymptotic solution is obtained in the core region in the limit as the aspect ratio, which is defined as the ratio of the vertical dimension of cavity to the horizontal dimension of cavity, goes to zero. The numerical experiments are also carried out to compare with the asymptotic solution of the steady two-dimensional Joule heating convection. The asymptotic results indicate that the expressions of velocity and temperature fields in the core region are valid in the limit of the small aspect ratio.
Ab-initio simulation of the ionization and fragmentation of acetylene by strong femtosecond laser pulses

Kalman Varga, Vanderbilt, Physics, United States

Abstract: The electron and nuclear dynamics of acetylene when interacting with strong short laser pulses has been simulated in the framework of real–space Time Dependent Density Functional Theory (TDDFT) and molecular dynamics. The stretching and dissociation of individual bonds are reported, and are shown to depend on the laser field intensity and orientation relative to the laser polarization. The ionization dynamics, including ionization from individual Kohn–Sham orbitals, is also reported. The orbital ionization dynamics are shown to vary with an increase in the intensity of the laser field.
Ab-initio study of the structural and electronic properties of cadmium telluride CdTe and its alloy cadmium zinc telluride Cd1-xZnxTe

Louiza Messaadia , Physics Laboratory at Guelma, University 8 Mai 1945 Guelma, Department of Materials Science, Algeria

Abstract: The scope of this investigation is to make a clear contrast between the structural and electronic properties of cadmium telluride CdTe and its alloy cadmium zinc telluride Cd1-xZnxTe using first principles calculations based on density functional theory within the local density approximation (LDA). A supercell with 2×2×2 unit cells has been considered in the calculations. Structural parameters and electronic densities of states are shown to discuss the effects of local environment induced by Zn impurity on the structure of zinc- blend CdTe. Our results are in good agreement with some theoretical studies.
Ab-initio study of the structural and electronic properties of cadmium telluride CdTe and its alloy cadmium zinc telluride Cd1-xZnxTe

Louiza Messaadia , Physics Laboratory at Guelma, University 8 Mai 1945 Guelma, Department of Materials Science, Algeria

Abstract: The scope of this investigation is to make a clear contrast between the structural and electronic properties of cadmium telluride CdTe and its alloy cadmium zinc telluride Cd1-xZnxTe using first principles calculations based on density functional theory within the local density approximation (LDA). A supercell with 2×2×2 unit cells has been considered in the calculations. Structural parameters and electronic densities of states are shown to discuss the effects of local environment induced by Zn impurity on the structure of zinc- blend CdTe. Our results are in good agreement with some theoretical studies.
Canonical Quantization of the Reissner-Nordstr\"om Black Hole via Conditional Symmetries

Evangelos Melas, Technological Educational Institution of Patras, Department of Management, Greece

Abstract: We use the conditional symmetry approach to study the $r$-evolution of a minisuperspace spherically symmetric model both at the classical and quantum level. After integration of the coordinates $t$, $\theta$ and $\phi$ in the gravitational plus electromagnetic action the configuration space dependent dynamical variables turn out to correspond to the $r$-dependent metric functions and the electrostatic field. In the context of the formalism for constrained systems (Dirac - Bergmann, ADM) with respect to the radial coordinate $r$, we set up a point-like reparametrization invariant Lagrangian. It is seen that, in the constant potential parametrization of the lapse, the corresponding minisuperspace is a Lorentzian three-dimensional flat manifold which obviously admits six Killing vector fields plus a homothetic one. The weakly vanishing $r$-Hamiltonian guarantees that the phase space quantities associated to the six Killing fields are linear holonomic integrals of motion. The homothetic field provides one more rheonomic integral of motion. These seven integrals are shown to comprise the entire classical solution space, i.e. the space-time of a Reissner-Nordstr\"om black hole, the $r$-reparametrization invariance since one dependent variable remains unfixed, and the two quadratic relations satisfied by the integration constants. We then quantize the model using the quantum analogues of the classical conditional symmetries, and show that the existence of such symmetries yields solutions to the Wheeler-DeWitt equation which, as a semiclassical analysis shows, exhibit a good correlation with the classical regime. Finally, we use the resulting wave functions to investigate the possibility of removing the classical singularities.
A mathematical characterization of the gel point in sol-gel transition

Ayse Humeyra Bilge, Kadir Has University, Fculty of Engineerin and Natural Sciences, Turkey

Abstract: We model the sol-gel transition in terms of Susceptible-Infected-Removed (SIR) and Susceptible-Exposed-Infected-Removed (SEIR) models and compare with experimental results. We show, numerically, that the ``gel point" described as the onset of the gelation phenomena and measured experimentally, corresponds to an accumulation point of the extreme values of the derivatives of the gelation curve. We define the ``critical point of a sigmoidal curve" as the limit of the points where the derivatives reach their extreme values, provided that this limit exists.
Multiscale continuation algorithms for binary Rydberg-dressed Bose-Einstein condensates

Cheng-Sheng Chien, Chien Hsin University of Science and Technology, Department of Computer Science and Information Engineering, Taiwan

Abstract: We present two multiscale continuation algorithms for binary Rydberg-dressed Bose-Einstein condensates which are governed by a system of the Gross-Pitaevskii equations (GPEs). First we describe a three-parameter continuation algorithm to trace the ground state solution curve of the GPEs, where we use the chemical potentials λ1 and λ2 together with an artificial parameter ν0 belong to [0, ν*] as the three continuation parameters. Here ν0 is used to control the value of the parameter μ12 for the integration term, say μ12 = ν0 × μ0 for some μ0. Besides, the parameters μ11 = μ22 are fixed. Next, we describe a four-parameter continuation algorithm to trace the ground state solutions of the GPEs. At the beginning we use the two-parameter continuation algorithm described by Wang and Chien [CiCP, 2013] to trace the ground state solution curves of the GPEs with the coefficients of the integration terms μ11 = μ22 = μ12 = 0. When the constraint conditions ||ψ1|| = ||ψ2|| = 1 are satisfied, we use the chemical potentials λ1 and λ2 together with two additional parameters ν0 belong to [0, ν*] and ν1 belong to [0, ν**] as the four continuation parameters and proceed again to trace the ground state solution curves, where μ11 = μ22 = ν1 × μ1 for some μ1. Since the parameters μ11 = μ22 and μ12 have different scales, the parameter ν1 reaches the desired value earlier than the parameter ν0. Then we reduce the four-parameter continuation algorithm to the three-parameter one, and proceed to trace the ground state solution curves until the desired ground state solutions are obtained. The proposed multiscale/multi-parameter continuation algorithms have the advantage that we can obtain the contours of the wave functions ψ1 and ψ2 for various values of μ11 = μ22 belong to [0, μ*] and μ12 belong to [0, μ**], where we only need to trace the ground state solution curve once. Our numerical experiments show that the proposed algorithms outperform the classical continuation algorithm, and is very competitive compared to other numerical methods for treating similar problems.
BICEP2, inflation and quantum fluctuations

Prof. Dr. Emilio Elizalde, ICE-CSIC and IEEC Barcelona, , Spain

Sergei Odintsov, ICREA and ICE (CSIC-IEEC), Theoretical Physics and Cosmology , Spain

Abstract: After a short review of a few basic notions around the Big Bang theory, a summary will be given of the impacting results of BICEP2, together with the subsequent reactions of cosmologists and theoretical physicists. While some basic models of inflation can accommodate the new results, they seem to exclude, on the contrary, other popular and very important families of inflationary models. And it is quite difficult to explain, simultaneously, the previous results of PLANCK together with the new data. The fundamental question has also arisen: have we finally found indeed the footprints of the very elusive quantum gravity?
Unification of inflation with dark energy era in modified gravity

Sergey Odintsov, ICREA and ICE(CSIC-IEEC), Cosmology, Spain

Abstract: We review the unification of inflation with dark energy within modified F(R) gravity. Several models are presented, their properties are described. Some applications- like massive neutron stars from F(R) gravity are also mentioned. Finally, the unification of early-time with late-time acceleration is also considered in modified Gauss-Bonnet gravity.
Supersymmetric extension of a coupled Korteweg-de Vries system

Adrián Sotomayor, Antofagasta University, Mathematics, Chile

Alvaro Restuccia, Antofagasta University, Physics, Chile

Abstract: We obtain a supersymmetric extension of a coupled KdV system. This system arises from a complexification of real KdV equation. The system has an infinite sequence of conserved quantities involving the even and odd fields describing the new system. This infinite se- quence can be obtained from a supersymmetric Gardner equation via a Gardner integrable deformation. We also find the hamiltonian and the Poisson structure of the system.
One dark matter mystery: halos in the cosmic web

Jose Gaite, Universidad Politecnica de Madrid, Physics, Spain

Abstract: The current cold dark matter cosmological model explains the large scale cosmic web structure but is challenged by the observation of a relatively smooth distribution of matter in galactic clusters. We consider various aspects of modeling the dark matter around galaxies as distributed in smooth halos and, especially, the structure of the dark matter halos seen in cosmological N-body simulations. We conclude that the problems of the cold dark matter cosmology on small scales are more serious than normally admitted.
Stabilizability of stochastic nonlinear hybrid systems

Ewelina Seroka, Cardinal Stefan Wyszynski University in Warsaw, Faculty of Mathematics and Natural Sciences, Poland

Abstract: The problem of the asymptotic stabilizability in probability of a class of stochastic nonlinear control hybrid systems (with a linear dependence of the control) with any, state dependent and markovian switching rule is considered in the paper. It is assumed that the trivial solution of unforced hybrid system is stable in probability (wherein some of subsystems of unforced hybrid systems can be unstable). By applying the stabilizing control the trivial solution of hybrid system becomes asymptotically stable in probability. To solve the issue, the Lyapunov technique including a common, single, multiple Lyapunov function, the hybrid control theory and some results of P. Florchinger for stochastic non-hybrid systems, are used. Moreover, in the case of hybrid systems with markovian switching rule, results of R.Z. Khasminskii, C. Zhu, G. Yin are applied. Sufficient conditions for the asymptotic stabilizability in probability for a considered class of hybrid systems are formulated. Also the stabilizing control in a feedback form is considered. Furthermore, in the case of hybrid systems with the state dependent switching rule, a method for a construction of stabilizing switching rules is proposed. Obtained results are illustrated by examples and numerical simulations.
Microscopic black hole stabilization via the uncertainty principle

Constantinos G. Vayenas, University of Patras, , Greece

Abstract: We study the properties of bound states consisting of relativistic rotating particles [1] and formed via stabilization of microscopic black holes due to the uncertainty principle [1-3]. We show that the combination of Schwarzschild or Reissner-Nordström geodesics with the uncertainty principle, expressed via the Compton wavelength of the confined mass, leads to Planckian or sub-Planckian states with the mass and other properties of hadrons, formed via the confinement of much lighter relativistic particles. The concepts of generalized Uncertainty Principle (GUP) [4] and Generalized Event Horizon (GEH) [3] in relation to these states are also discussed. 1. C.G. Vayenas, S. Souentie, A. Fokas, Physica A, 405 (2014) 360-379. 2. C.G. Vayenas, S. Aretakis, A. Fokas and D. Grigoriou, in preparation (2014). 3. B.J. Carr, arXiv:1402.1427v1 [gr-qc] (2014). 4. S. Das, E.C. Vagenas, Can. J. Phys. 87 (2009) 233-240.
Computer Simulation of Fire Dynamics in Industrial Hall

Jan Glasa, Institute of Informatics, Slovak Academy of Sciences, , Slovakia (Slovak Republic)

Abstract: In this paper, computer simulation of smoke spread dynamics in industrial hall is investigated. A set of simulations of fire in three industrial halls with the same geometry varying in the height of ceiling is realized using the CFD-based fire field model, FDS, version 6. The obtained simulation results are described focusing on the impact of the ceiling height and fire barriers on the fire course and smoke spread dynamics.
Feedback Stabilization of an Oscillating Vertical Cylinder by POD Reduced-Order Model

Gilles Tissot, PPRIME Institute, Fluides, Thermique, Combustion, France

Laurent CORDIER, PPRIME Institute, Fluides, Thermique, Combustion, France

Bernd NOACK, PPRIME Institute, Fluides, Thermique, Combustion, France

Abstract: The objective of this paper is to demonstrate the use of Reduced-Order Models (ROM) based on Proper Orthogonal Decomposition (POD) to stabilize by vertical oscillations the flow over a circular cylinder for a Reynolds number equal to 60. The 2D Navier-Stokes equations are first solved by a finite element method with COMSOL Multiphysics in which the moving mesh is introduced via ALE. Since in Fluid-Structure Interaction, the POD algorithm cannot be applied directly, we then implement the fictitious domain method of Glowinski et al. (1999) where the solid domain is treated as a fluid undergoing an additional constraint. The POD-ROM is then classically obtained by projecting the Navier-Stokes equations on a small number of POD modes. At this level, the cylinder movement is enforced in the POD-ROM through the introduction of Lagrange multipliers. A Linear Quadratic Regulator framework is used to determine the optimal control law, in our case the vertical velocity of the cylinder, such that the flow is stabilized. After linearization of the POD-ROM around the steady flow state, the optimal linear feedback gain is obtained as solution of a Generalized Algebraic Riccati Equation. Finally, when the optimal feedback control is applied, it is shown that the flow converge rapidly to the steady state. In addition, a vanishing control is obtained proving the efficiency of the control approach.
Inference of Transcriptional Network for Pluripotency in mouse Embryonic Stem Cells

Sachiyo Aburatani, National Institute of Advanced Science and Technology, Computational Biology Research Center, Japan

Abstract: In embryonic stem cells, some transcription factors (TFs) are known to maintain the pluripotent process. To gain insights into the regulatory system to control pluripotency, I inferred regulatory relationships between TFs, which expressed in ES cells. In this study, I applied a method based on structural equation modelling (SEM), combined with factor analysis, to 649 expression profiles of 19 TF genes measured in mouse ES (mES) cells. By the factor analysis, 19 TF genes were regulated by several unmeasured factors. Since the known cell reprogramming TF genes (Pou5f1, Sox2, Nanog and Klf4) were regulated by the different factors, the each estimated factor is considered to be an input signal transduction to control pluripotency in mES cells. In the inferred network model, TF proteins were also arranged as unmeasured factors which control the other TFs. The interpretation of the inferred network model allowed us to reveal the regulatory mechanism for controlling pluripotency in ES cells.
MPR Supported Multiscale Initialization of Transfer Functions for Interactive 3D Visualization

Merve Ozdemir, Dokuz Eylül University, Electrical and Electronics Engineeing, Turkey

Alper Selver, Dokuz Eylül University, Electrical and Electronics Engineering, Turkey

Oguz Dicle, Dokuz Eylül University, Radiology, Turkey

Abstract: Visualization aims to produce clear and informative pictures of the important structures in a dataset. Depending on the application, this requires interactive determination of visual parameters such as opacity and color. In volume rendering technique, combinations of these visual parameters can be determined during the rendering pipeline. During the generation of volume rendered images, Transfer Function (TF) specification is the step where these adjustments can be done. Therefore, it is crucial and important to design accurate TFs to produce meaningful and intelligible 3-D images. However, TF design is a very difficult task because of the availability of various possibilities in extensive search spaces of TFs. Since this flexibility of search space cannot be kept in strict bounds, specification of an appropriate TF is a challenging problem where effective initial TF designs should be generated prior to the optimization that is controlled by the user. Moreover, advanced user interaction interfaces and data exploration tools should be provided for fulfilling user expectations. To overcome the difficulty of initial TF generation generally a number of predefined TF presets are used as starting point (so called initial TF design). The main idea behind this approach is that certain types of volume data are standardized in the range of data values and special sub-ranges are assigned to the same type of structure (Thus, predefined TFs are adjusted due to these ranges). However, volumetric data usually have varying characteristics even in different samples of the same application. For instance, in medical imaging, depending on different modality settings, injection of a contrast media or environmental circumstances, the sub-ranges of the tissues may vary significantly. Similarly in natural stone analysis, the ingredients of brecciated rocks differ significantly from each other which prevent the use of pre-defined ranges for analysis. For these reasons, a limited number of TF presets cannot be enough to cover all possible cases and to provide useful initial TFs. In order to create a useful initial TF that provides a good basis prior to optimization, an automatic sub-range detection method that finds the intensity range for each structure of interest is needed. Moreover, it is necessary to integrate the developed method into the TF design procedure without losing user control and interaction over the search space. By addressing this problem, a semi-automatic method for initial generation of TFs is introduced in this study. The proposed approach is based on modeling the search space in a hierarchical manner using gaussian functions. The search space is constructed with generalized Volume Histogram Stack (VHS) which can be determined by the user by interacting with Multi Planar Reconstruction (MPR) images of the volume data. VHS is recently introduced in as a new domain which is created by aligning the histograms of the image slices of a CT/MR series. Histograms were generated from orthogonal directions of slice planes, namely, axial, coronal and saggital. Thus, VHS can represent the intensity values of the tissues as well as their spatial information and local distributions (via lobes in VHS) which are not available in conventional volume histograms. The tissues which are at different slices but with similar gray level distributions can clearly be distinguished by using this spatial information. Then, a tissue (a structure of interest) can effectively be visualized by determining its corrsponding lobe(s) in VHS, which represents that structure of interest, and by assigning a color-opacity value to that lobe. In this study, VHS data is further generalized in such a way that it is possible to calculate VHS on an arbitrary aligned axis (i.e. a slice plane with an arbitrary normal vector, not aligned with x, y or z) which can be obtained with the help of not only MPR but also of Curved MPR or Oblique sectioning techniques. A generalized VHS can be generated not only for slice based medical image series but all volumetric data as long as spacing values in 3D is known. With the help of this expansion, the VHS becomes an effective new domain as a search space for TF specification on any kind of 3D data. Although extending the implementation of VHS to work along an arbitrary axis or with an arbitrary surface would provide many advantages, it should still be supported by a lobe detection method. Because, when two or more structure of interest have overlapping intensity values and if their spatial location also overlaps at some degree, they construct overlapping regions which produce hardly recognizable minor lobes (or side parts of main lobes) due to the domination by the major ones. The proposed multiscale and hierarchical modeling strategy applied on generalized VHS allows recognizing suppressed lobes corresponding to suppressed structures and also for representing the overlapping regions which are parts of the lobes but can not be represented by the clusters associated to the lobes due to the overlapping. The developed strategy allows the integration of spatial knowledge, local distribution of the structures and their intensity information into the TF while preserving the user control. The proposed method is applied to 10 MRI datasets for abdominal tissue/organ visualization. The results show that, the proposed approach effectively increases performance on classification of abdominal organs.
Some of the cosmological funds gravitational theories F(T,\Theta)

Faezeh, Kiani, , Iran (Islamic Republic of)

Abstract: we study a new type of modified teleparallel gravity of the form F(T,\Theta) in which T, the torsion scalar, is coupled with $\Theta$, the trace of the stress-energy tensor. We also study the minimal and non-minimal coupling by the dynamical system approach. In this Model, the crossing the phantom divide, the existence of de Sitter solution and its stability are investigated in the non-minimal version.
Automatic Method to Classify Images Based on Multiscale Fractal Descriptors and Paraconsistent Logic

Eduardo Pavarino, São Paulo State University (UNESP), Department of Computer Science and Statistics (DCCE), Brazil

Leandro Alves Neves, São Paulo State University (UNESP), Department of Computer Science and Statistics - DCCE, Brazil

Marcelo Zanchetta do Nascimento, Federal University of Uberlândia, FACOM, Brazil

Moacir Fernandes de Godoy, FAMERP - São José do Rio Preto, Transdisciplinary Center for Study of Chaos and Complexity (NUTECC), Brazil

Pedro Francisco de Arruda, FAMERP - São José do Rio Preto, , Brazil

Leandro Neves, São Paulo State University, DCCE, Brazil

Dalísio de Santi Neto, Hospital de Base de São José do Rio Preto, Department of Pathology, Brazil

Abstract: In this study is presented an automatic method to classify images from fractal descriptors as decision rules, such as multiscale fractal dimension and lacunarity. The proposed methodology was divided in three steps: quantification of the regions of interest with fractal dimension and lacunarity, techniques under a multiscale approach; definition of reference patterns, which are the limits of each studied group; and, classification of each group, from the combination of the reference patterns with signals maximization (an approach commonly considered in paraconsistent logic). As a first application, the proposed method was used to classify histological prostatic images with 40x of magnification, aiming the diagnostic of prostate cancer. The investigated groups were normal, hyperplasia and cancer. The accuracy levels were important, overcoming those obtained with Support Vector Machine (SVM), Radial Basis Function Network (RBFNetwork) and Best-first Decicion Tree (BFTRee) classifiers: well know and widely applied techniques to recognize patterns. The proposed technique was better than SVM and RBFNetwork in all tests with both stroma and lumen and only with stroma, respectively. Regarding the BFTree classifier, the developed method was better in, approximately, 67% of the comparisons. The groups with better results were normal versus hyperplasia and normal versus cancer, being the region of stroma the more significant to distinguish the prostate cancer. Thus, the proposed approach allows recognize and classify patterns in studied context, offering the advantage of giving comprehensive models to the specialists.
Approximate best proximity points of cyclic self-mapsand cyclic asymptotic regularity

Manuel de la Sen, University of the Basque Country, IIDP, Spain

Abstract: This manuscript relies on 2-cyclic self-mappings by giving a simple formal development to join some useful concepts, and related results, like those of approximate best proximity points of cyclic self-mappings, the approximate best proximity (respectively, partial best proximity) point property or the cyclic asymptotic regularity. A formal mathematical development is given which brings together the concepts of approximate best proximity points of cyclic self-mappings, approximate best proximity (respectively, partial best proximity) point property and cyclic asymptotic regularity of cyclic self-mappings. There are also further induced results available for the approximate fixed points of the composite self-mapping obtained from the composition of the original one with itself which follow from the approximate best proximity point properties and those related ones of cyclic asymptotic regularity .
Clusters and molecules in extreme light

Eric Suraud, Universite Paul Sabatier, Lab. Phys. Theorique, France

Abstract: The progress in laser technology over the last decades has opened up new avenues for the explo- ration of properties of clusters and molecules. A laser pulse is characterized by its frequency but also by the laser intensity as well as the laser time profile. While for years the variations of these parame- ters were heavily constrained by technology, the last two decades and even more so the last years have seen tremendous increases in the range of attainable parameters. This is true for intensity, which since the 1990’s can reach huge values which can lead to very large energy deposits and possibly violent disintegration of the irradiated species. But this is also true for the tuning of the time profile which can now be tailored up to time scales of the order of magnitude of electronic motion and even below. This allows the follow up of the detail of electronic dynamics at its own ”natural” time. The latest breaktroughs were attained in terms of laser frequency with the ongoing possibility of reaching very large frequencies up the X domain. This opens up new possibilities of imaging which are progressively being explored. We shall discuss some of these directions of investigation, taking examples in cluster and molecular physics. We shall especially discuss the case of high intensity and short time pulses for which a sizable amount of results have already been attained. We shall also discuss in detail the case of very short times (attoseconds) which are becoming more and more studied. [1] Mechanisms of cluster ionization in strong laser pulses, U. Saalmann, C. Siedschlag,, J. M. Rost, J. Phys. B 39 (2006) R39. [2] Non linear electron dynamics in metal clusters, F. Calvayrac, P. G. Reinhard, E. Suraud, C. Ullrich, Phys. Reports 337(2000)493-578 [3] Laser-driven nonlinear cluster dynamics, Th. Fennel, K.-H. Meiwes-Broer, J. Tiggesbumker, P.-G. Reinhard, P. M. Dinh, E. Suraud, Rev. Mod. Phys. in press, 2010, http://arxiv.org/abs/0904.2706 [4] Probing Time-Dependent Molecular Dipoles on the Attosecond Time Scale, C. Neidel et al Phys. Rev. Lett 111 (2013) 033001.
Multi-parameter continuation and collocation methods for rotating multi-component Bose-Einstein condensates

Yun-Shih Wang, Chien Hsin University of Science and Technology, , Taiwan

Abstract: We describe multi-parameter continuation methods combined with spectral collocation methods (SCM) for computing numerical solutions of rotating two-component Bose-Einstein condensates (BECs), which are governed by the Gross-Pitaevskii equations (GPEs). Various types of orthogonal polynomials are used as the basis functions for the trial function space. A novel multi-parameter/multiscale continuation algorithm is proposed for computing the solutions of the governing GPEs, where the chemical potential of each component and angular velocity are treated as the continuation parameters simultaneously. The proposed algorithm can effectively compute numerical solutions with abundant physical phenomena. Numerical results on rotating two-component BECs are reported.
Two reliable approaches involving Haar wavelet method and Optimal Homotopy Asymptotic method for the solution of fractional Fisher type equation

SANTANU SAHA ROY, NATIONAL INSTITUTE OF TECHNOLOGY ROURKELA, MATHEMATICS, India

Abstract: In this article, two reliable techniques, Haar wavelet method and optimal homotopy asymptotic method (OHAM) are presented. Haar wavelet method is an efficient numerical method for the numerical solution of fractional order partial differential equation like Fisher type. The approximate solutions of the fractional Fisher type equation are compared with the optimal homotopy asymptotic method as well as with the exact solutions. Comparisons between the obtained solutions with the exact solutions exhibit that both the featured methods are effective and efficient in solving nonlinear problems. However, the results indicate that optimal homotopy asymptotic method provides more accurate value than Haar wavelet method.
Atomistic and Continuum Simulations of Nanoscale Pattern formation on Alloy Surfaces by Ion Beam Sputtering

Bharathi Srinivasan, Institute of High Performance Computing, Engineering Mechanics, Singapore

Ramanarayan Hariharaputran, Insititute of High Performance Computing, Materials Science & Engineering, Singapore

Yong Wei Zhang, Institute of High Performance Computing, EM, Singapore

Abstract: Nanoscale surface pattern creation is a topic of recent research interest due to its relevance in optoelectronic devices. Sputtering by low energy ion beam is one of the techniques used to achieve self-assembled morphological patterns on surfaces. In alloy surfaces, both morphological and compositional patterns are created due to interplay of various factors such as diffusion, sputter removal and elastic misfit. Temperature, flux of the incident ion beam and the elastic interactions arising out of misfit stresses dominate the self-assembly of these nanostructures. Here we present the results from both kinetic Monte Carlo simulations and a nonlinear continuum model on the influence of these parameters on the dynamics of pattern formation in alloy surfaces by ion beam sputtering.
Some properties of light mesons in a strong magnetic field in context of the SU(3) lattice gauge theory

Elena Luschevskaya, Institute of Theoretical and Experimental Physics, Laboratory of theoretical and nuclear physics, Russian Federation

Abstract: We calculated the correlators of vector, axial and pseudoscalar currents in external strong abelian magnetic field in $SU(3)$ gluodynamics. The masses of neutral and charged $\rho$ and $A$ mesons with various spin projections to the external magnetic field $B$ have been calculated. We found that the masses of neutral mesons with zero spin $s=0$ decrease, while the masses of the $\rho$ and $A$ mesons with spin $s=\pm 1$ increase in increasing magnetic field. The masses of charged vector and axial mesons with nonzero spins diminish, but the masses of the same mesons with zero spin grow with the field value.
Trans-dimensional Monte Carlo sampling applied to the magnetotelluric inverse problem

Eric Mandolesi, Dublin Institute for Advanced Studies, Geophysics, Ireland

Nicola Piana Agostinetti, Dublin Institute for Advanced Studies, Geophysics, Ireland

Abstract: The data required to build geological models of the subsurface are often unavailable from direct measurements or well logs. In order to image the subsurface geological structures several geophysical methods have been developed. The magnetotelluric (MT) method uses natural, time-varying electromagnetic (EM) fields as its source to measure the EM impedance of the subsurface. The interpretation of these data is routinely undertaken by solving inverse problems to produce 1D, 2D or 3D electrical conductivity models of the subsurface. In classical MT inverse problems the investigated models are parametrized using a fixed number of unknowns (i.e. fixed number of layers in a 1D model, or a fixed number of cells in a 2D model), and the non-uniqueness of the solution is handled by a regularization term added to the objective function. This study presents a different approach to the 1D MT inverse problem, by using a trans-dimensional Monte Carlo sampling algorithm, where trans-dimensionality implies that the number of unknown parameters is a parameter itself. This construction has been shown to have a built-in “Occam’s razor”, so that the regularization term is not required to produce a simple model. The influences of subjective choices in the interpretation process can therefore be sensibly reduced. The inverse problem is solved within a Bayesian framework, where posterior probability distribution of the investigated parameters are sought, rather than a single best-fit model, and uncertainties on the model parameters, and their correlation, can be easily measured.
Classification of Histological Images Based on the Stationary Wavelet Transform

Sidon, Federal University of ABC , CMCC Centro de Matemática, Computação e Cognição, Brazil

Yan Duarte, Federal University of ABC , CMCC Centro de Matemática, Computação e Cognição, Brazil

Marcelo Zanchetta do Nascimento, Federal University of Uberlândia, FACOM, Brazil

Leandro Neves, São Paulo State University, DCCE, Brazil

Valério Batista, Federal University of ABC, CMCC, Brazil

Abstract: Non-Hodgkin lymphomas are of many distinct types, and different classification systems make it difficult to diagnose them correctly. Many of these systems classify lymphomas only based on how they look under a microscope. In 2008 the World Health Organisation (WHO) introduced the most recent system, which also considers the chromosome features of the lymphoma cells and the presence of certain proteins on their surface. The WHO system is the one that we apply in this work. Herewith we present an automatic method to classify histological images of three types of non-Hodgkin lymphoma. Our method is based on the Stationary Wavelet Transform (SWT), and it consists of three steps: 1) extracting sub-bands from the histological image through SWT, 2) applying Analysis of Variance (ANOVA) to clean noise and select the most relevant information, 3) classifying it by the Support Vector Machine (SVM) algorithm. The kernel types Linear, RBF and Polynomial were evaluated with our method applied to 339 images of lymphoma from the National Institute on Aging. We concluded that the following combination led to the most relevant results: detail sub-band, ANOVA and SVM with Linear and RBF kernels.
Family of higher order exponential variational integrators

Odysseas Kosmas, University of Erlangen-Nuremberg, Mechanical Engineering, Germany

Sigrid Leyendecker, University of Erlangen-Nuremberg, Mechanical Engineering, Germany

Abstract: In the present work we derive a family of higher order exponential variational integrators for the numerical integration of systems with oscillatory solutions. To increase the order of variational integrators, first the discrete Lagrangian in any time interval is defined as a weighted sum of the evaluation of the continuous Lagrangian at intermediate time nodes while expressions for configurations and velocities are obtained using interpolating functions that can depend on free parameters. Secondly, in order to chose those parameters appropriately, exponential integration techniques are embedded. Focusing on highly oscillatory problems, we then split their potential energy into a fast and a slow component and use different quadrature rules for the different potentials. Finally, we study the behavior of this family of integrators in numerical tests.
Analysis on the use of Multi-Sequence MRI Series for Segmentation of Abdominal Organs

Esref Selvi, Dokuz Eylül University, Institute of Natural and Applied Sciences, Turkey

Emre Kavur, Dokuz Eylül University, Institute of Natural and Applied Sciences, Turkey

Alper Selver, Dokuz Eylül University, Electrical and Electronics Engineering, Turkey

Oguz Dicle, Dokuz Eylül University, Radiology, Turkey

Abstract: Segmentation of abdominal organs from MRI data sets is a challenging task due to various limitations and artefacts. During the routine clinical practice, radiologists use multiple MR sequences in order to analyze different anatomical properties. These sequences have different characteristics in terms of acquisition parameters (such as contrast mechanisms and pulse sequence designs) and image properties (such as pixel spacing, slice thicknesses and dynamic range). For a complete understanding of the data, computational techniques should combine the information coming from these various MRI sequences. These sequences are not acquired in parallel but in a sequential manner (one after another). Therefore, patient movements and respiratory motions change the position and shape of the abdominal organs. In this study, the amount of these effects is measured using three different symmetric surface distance metrics performed to three dimensional data acquired from various MRI sequences. The results are compared to intra and inter observer differences and discussions on using multiple MRI sequences for segmentation and the necessities for registration are presented.
Spherical Target Recognition using Time-Domain Multiscale Approximation of Scattered Signals

Mehmet Taygur, Dokuz Eylül University, Electrical and Electronics Engineeing, Turkey

Alper Selver, Dokuz Eylül University, Electrical and Electronics Engineering, Turkey

Yesim Zoral, Dokuz Eylül University, Electrical and Electronics Engineeing, Turkey

Abstract: Classification of similar shaped objects from scattered electromagnetic waves is a difficult problem to solve, as it heavily depends on the aspect angle. Eliminating the effects of the aspect angle is possible by extracting distinguishable features from the scattered signals. These features should be robust to noise effects especially at SNR levels, where noise effects become dominant on the scattered signal. In this paper, we propose a target classification method, which uses a structural feature set extracted from scattered signal. Prior to feature extraction, a multi-scale approximation is performed using hierarchical radial basis function network topology to suppress the effects of noise on scattered signal. After principle component analysis, k-fold cross validation based experiments is performed. Results show that spherical targets are recognized successfully up to -10dB SNR.
A Mathematical Model for Analyzing Surface Plasmon Polariton Propagation through a Schottky-Junction-Based Plasmonic Amplifier

Abdolber Mallah Livani, Amirkabir University, Electrical Engineering, Iran (Islamic Republic of)

Hassan Kaatuzian, Amirkabir University of Technology, Photonics Research Laboratory (PRL), Electrical Engineering Dept., Iran, Islamic Republic Of

Abstract: We have devised a simple model for describing an amplifier which operates on Surface Plasmon Polaritons (SPPs). A semiconductor is considered instead of dielectric which its interface with metal can support TM polarized SPP propagation. Metal-Semiconductor interface in particular conditions can be regarded as a Schottky junction that has the capability of being pumped electrically. So compensation of propagation losses is possible and beyond that, amplification occurs. This configuration has advantages such as simple fabrication process and compact size. However, designing such an amplifier with too many effects that arise in a Schottky junction may be an extremely difficult process. So a simplified model which regards essential effects and ignores non important ones is useful. In this work, gold has brought in contact with n+-doped In0.53Ga0.47As as semiconductor to form a Schottky junction. Concentration of doping in semiconductor is 9.3×1017cm-3. To estimate optical gain, at first, we solve drift-diffusion currents, continuity and Poisson’s equations to calculate carrier densities then using wave analysis, power density will be obtained. In 0.8V forward bias, optical gain of In0.53Ga0.47As is estimated around 2000cm-1 which is required for compensation of ohmic losses in metal for SPP. Current density in this forward bias is 104A/cm2 which is a typical current density.
Multicriteria optimization for wind farm layout design and assessment: Effective implementation of the Weighted Sum and Lexicographical methods

Daniela Borissova, Information and Communication Technologies – Bulgarian Academy of Sciences, Information Processes and Decision Support Systems, Bulgaria

Ivan Mustakerov, Information and Communication Technologies – Bulgarian Academy of Sciences, Information Processes and Decision Support Systems, Bulgaria

Abstract: The design of a reliable and cost-effective industrial wind power farm is a prerequisite for the effective use of wind power as an alternative resource of renewable energy. The optimal layout could be defined by proper mathematical modeling involving explicitly multiple criteria in decision-making environment. The multicriteria approach is well suited for testing various design scenarios. Having in mind that designers usually prefer more flexible and transparent approaches, the multicriteria optimization could be used as a wind farm design simulation tool. In contrast to single criterion optimization, multiple criteria decision making is concerned with solving decision problems to choose the “best” alternative from a set of available alternatives, where the “best” can be interpreted as “the most preferred alternative” of decision maker. The multicriteria methods reflect more precisely the decision maker preferences in respect of wind farm layout design. The paper presents a multicriteria optimization approach for wind farm layout design by formulation of mixed integer problem for simultaneously determination of number, type and turbines placement taking into account the specifics of given wind area and decision maker preferences. A methodology for assessment of wind farm layout design by multicriteria optimization is proposed. The solutions results assist the project manager to assess the wind farm project on the early design stage. The weighted sum and lexicographical method are used to assess the effectiveness of wind farm layout design. Numerical case study examples of wind farm layout design demonstrate that both methods adequately reflect different criteria importance for different wind conditions of a particular site. During the simulation process, different points of view are analyzed to get Pareto-optimal alternatives. The wind farm energy output and costs corresponding to different Pareto-optimal alternatives under different wind directions are illustrated.
An algorithm for optimal design of wind farm layout over complex terrain

Ivan Mustakerov, Information and Communication Technologies – Bulgarian Academy of Sciences, Information Processes and Decision Support Systems, Bulgaria

Daniela Borissova, Information and Communication Technologies – Bulgarian Academy of Sciences, Information Processes and Decision Support Systems, Bulgaria

Abstract: The paper concerns problem for optimal design of wind farm layout over complex terrain. When trying to make wind energy project economically viable, wind turbines type and placement are important design parameters that constitute a significant part of the overall project costs. Generally, the energy production is the major factor that has to be considered for economic success of a wind farm project, but in reality it has to be evaluated toward associated costs. It is essential to evaluate the relation of costs and energy production of wind farm on the early design stages. A combinatorial optimization model for determination of the wind turbines type and wind farm layout is described. This model is used in an algorithm for evaluating of different layouts over given terrain with preferable and not preferable zones for wind turbines placement. The basic steps of the algorithm are: definition of first k optimal types and corresponding numbers of wind turbines; determination of wind farm layouts for each type of turbines for given wind site specifics; calculation of the expected farm output potential and related costs for each layout; choice of the turbine’s type toward the best ratio of wind farm output potential and related costs. The algorithm is tested numerically for real turbines type’s data for given site dimensions and terrain specifics. The numerical illustration showed the applicability of the proposed algorithm. Using of this approach contributes the preliminary evaluation of wind farm effectiveness on the design stage of wind farm project development. It can be implemented as reasonable decision making tool for effective wind farm design. Some illustrative layouts for different wind turbines types defined by means of the described algorithm for uniform and predominant wind directions are shown.
Cooperative particle motion and dissipative solitary waves in complex (dusty) plasmas

Sergey Zhdanov, MPE, , Germany

Abstract: As an important element of self-organization, cooperative particle motion is present in many physical, astrophysical and biological systems. A particularly interesting and challenging topic is to study dynamic cooperativity at local and intermediate scales. As a rule, cooperative dynamics, bringing to life ’abnormal’ effects like enhanced diffusion, self-dragging, or self-propelling of particles, hold aspects of ’strange’ kinetics. Such kind of cooperative behavior was evidenced for string-like formations of colloidal rods, dynamics of mono- and di-vacancies in 2d colloidal crystals and in complex plasmas. Strongly coupled complex (dusty) plasmas give us a unique opportunity to go beyond the limits of continuous media and study various generic processes occurring in liquids or solids in real time and at the kinetic level. There is a certain advantage to experiment with complex plasmas merely because these systems are easy to manipulate in a controllable way. Externally manipulated ’dust molecules’, self-assembled strings in driven 3d particle clusters and dissipative solitary waves are noticeable examples. The results of recent experiments showing microparticle cooperative movements occurring under natural conditions are reviewed and interpreted.
GPU Computing in Bayesian Inference of Realized Stochastic Volatility Model

Tetsuya Takaishi, Hiroshima University of Economics, , Japan

Abstract: Recently the realized stochastic volatility model has been proposed to infer volatility of financial time series. We perform the Bayesian inference of the realized stochastic volatility model by the Hybrid Monte Carlo algorithm. The Hybrid Monte Carlo algorithm can be parallelized and thus performed on the GPU. The GPU code is developed with CUDA Fortran. We compare the computational time in performing the Hybrid Monte Carlo algorithm on GPU (GTX 760) and CPU (Intel i7-4770 3.4GHz) and find that the GPU can be up to 17 times faster than the CPU. We also code the program with OpenACC and find the similar speedup with OpenACC.
Magnetic phase transition in the spin-fluctuation theory

Nikolai Melnikov, Lomonosov Moscow State University, Computational Mathematics and Cybernetics, Russian Federation

Georgiy Paradezhenko, Lomonosov Moscow State University, Computational Mathematics and Cybernetics, Russian Federation

Abstract: The effect of spin fluctuations on the magnetic phase transition is studied by the functional integral method. The pair interaction between magnetic moments at finite temperatures is replaced by the interaction with the fluctuating exchange field. Magnetic characteristics are obtained by the integrataion over the fluctuating field configurations, which requires an appropriate approximation. A characteristic feature of the Gaussian approximation is the first-order phase transition. We present a renormalization method that takes into account the fourth-order terms of the free energy in the fluctuating field. By the example of the Ising model, we demonstrate that the renormalized Gaussian approximation yields the second-order phase transition, which is observed in experiment.
Interaction of strong laser pulses and nanostructures

Kalman Varga, Vanderbilt, Physics, United States

Abstract: Attosecond science has brought “an era of control of the quantum world” enabling scientists to observe the electron dynamics in molecules and solids directly on their natural length (Angstrom) and time (sub-femtosecond) scales. We will present our study of electron and nuclear dynamics induced by strong laser pulses in the framework of the time-dependent density functional theory in real-time and real-space. Several prototypical examples will be used to highlight the correlated electron and nuclear dynamics in strong fields, including Coulomb explosion of clusters, laser-enhanced field emission from nanostructures, and laser-assisted desorption of hydrogen from surfaces of silicon clusters and graphene flakes.
On the computer simulations of electron states of ionic nanosystems with extended defects

Yury K. Timoshenko, Voronezh State University, Department of Mathematical and Applied Analysis, Faculty of Applied Mathematics, Informatics, and Mechanics, Russian Federation

Abstract: Yury K. Timoshenko The electron states of nanosystems of ionic compounds AgCl and KCl with extended defects (charged defects, edge dislocations) were under consideration. The semi-empirical tight-binding approximation and different calculation methods were used. The obtained results and efficiency of calculation schemes are discussed. This work is an improvement of our early investigations [1-3]. References 1. Timoshenko Yu K and Shunina V A Surface Sci. 603 2564 (2009) 2. Timoshenko Yu K and Shununa V A Proc. of SPIE 7396 73960T (2009) 3. Timoshenko Yu K Journal of Physics: Conference Series 490 (2014) 012173 doi:10.1088/1742-6596/490/1/012173
Computational Simulation of Semiconductor Laser with Optical Injection

gulnaz, Kazakh National Technical university, Department of Applied Physics, Kazakhstan

Abstract: In this paper we study the dynamics of a semiconductor laser with optical injection. The time behaviour of solutions of a system of three coupled nonlinear rate equations, describing the electric field amplitude and the carrier concentration and the phase difference within the resonator, is discussed both qualitatively and numerically. We then concentrate on the periodic orbits that emanate from Hopf bifurcations. Depending on the injection strength and the phase difference two types of oscillations can be found, such as relaxation and periodic oscillations.
Numerical solution of a single charged particle under the Spatial Cyclotron Autoresonance Conditions

JESUS GONZALEZ, UNIVERSIDAD DEL MAGDALENA, DEPARTAMENTO DE FISICA, Colombia

Eduardo Orozco, Universidad Industrial de Santander, Physics, Colombia

VALERIY DUGAR ZHABON, Universidad Industrial de Santander, Escuela de Física, Colombia

Abstract: Relativistic dynamics of a single charged particle, accelerated in the cyclotron resonance conditions by TE11P waves in the stationary and inhomogeneous electric and magnetic fields is studied. The magnetic field is increased in the direction of the charged particle movement, so that the electron are in the spatial cyclotron autoresonance conditions. The electrostatic field has a suitable profile, which opposes the diamagnetic force associated with the mirror effect. By using a numerical solution of the Newton-Lorentz equation of motion, with the Leap-frog Boris scheme, a simulation of the system was made. The electric and magnetic fields at particle positions are calculated by using a bilinear interpolation method. It is shown that the resonant interaction of the electron with the electromagnetic wave can be prolonged in the static electric field; as a result the beam gets a larger energy. The numerical experiments are carried out with the TE113, and TE114 microwave fields of 0.1 GHz and 2.45 GHz, respectively, of 6 kV/cm amplitude.
Poisson structure on the phase space associated to the hamiltonian dynamics of coupled Korteweg-de Vries type equations

Alvaro Restuccia, Antofagasta University, Physics, Chile

Adrián Sotomayor, Antofagasta University, Mathematics, Chile

Abstract: We present the hamiltonian structures for a wide class of coupled Korteweg-de Vries systems, including the Gear and Grimshaw system that models the strong interaction of internal waves in a stratified liquid and the system of Lou , Tong , Hu and Tang that describes a two layer fluid model. Among the hamiltonian structures of these systems we found new Poisson algebras which define consistent algebras of observables.
Modeling of strain in magnetic media by method movable cellular automata

Victor V. Usachev, Far Eastern Federal University, The School of Natural Sciences, Russian Federation

Petr Andriushchenko, Far Eastern Federal University, , Russian Federation

Leonid Afremov, Far Eastern Federal University, Department of theoretical and experimental physics, Russian Federation

Abstract: This paper represents ideas of the application of the method Movable Cellular Automata for modeling the distribution of magnetic particles in an elastic non magnetic matrix. The basic principles of mathematical model and algorithms is shown below. The model is represented as an ensemble of N discrete elements (automata), which identified the characteristic physical properties, rules of interaction and the possible states. Nearby automata capable of forming bonds with each other. Each machine can have 4 neighbors in a square package or 6 neighbors in the dense packing in the 2D model. Bound pair belong the same piece of material, and pair of unrelated automata belong to different fragments. The criterion for the formation of link and the link gap is the distance between the automata. The part of automata uniformly magnetized and interact with each other like magnetic dipoles. The special conditions can be given for certain groups of automata, for example, the lower layer can be fixed, and the upper layer can be influenced by an external force. Critical integration time step dt affects the accuracy of the calculations. Speed of sound in the medium venv possible to use for evaluate dt: dt = 0.25(d/ venv), venv = √ (K/ρ + 4G/3ρ), ρ - density, K - bulk compression modulus, G - shear modulus. In the case of different types of automata the smallest of their respective times is accepted. Offset the automaton from its position at the previous step is calculated according to the Werle’s scheme. At each step of integration the forces, acting on the automaton by the system is calculated, after a new speed and new coordinates of automata is calculated. The resultant force is the sum of the elastic and viscous forces, as well as force of the magnetic interaction automata.
Time Dependent Quantum Transport in Nano Structures

Hang XIE, The University of Hong Kong,, Department of Chemistry, Hong Kong

Abstract: In the modern electronics industry, the devices’ scale is in the range of nanometers. In this range the classical description for the electron transport is not suitable and the quantum mechanics will be implemented. We have developed a type of time-dependent-quantum-transport method based on the non-Equilibrium Green’s function theory. This method introduces some auxiliary density matrices to replace the complicated combinations of self-energies and the Green’s functions. So a series of coupling equation of motions are derived instead of solving the differential-integral equations in the traditional quantum dissipation systems, which is very time-consuming. In the practical calculations we use a Lorentzian-Pade expansion scheme to transform the energy integral of spectrum functions into finite summations. An automatic Lorentzian fitting algorithm for the complicated lead spectrum matrices is also developed. For the large systems, we implement a parallel algorithm to deal with the huge memory of the auxiliary density matrices. With this method, we have calculated some dynamic electron response in nano structures. We observe different ‘overshooting’ phenomena in graphene nanoribbons which result in the profiles of the density of states near the Fermi level. We also calculated the transient current in some carbon nanotubes. We find that under a rapid-rising stepwise bias, there exist a lot of high frequency current excitation in these carbon nanotubes.
Computational analysis of difenoconazole interaction with soil chitinase

Diana-Larisa VLADOIU, West University of Timisoara, Biology-Chemistry, Romania

Alecu Aurel Ciorsac, Politehnica University of Timișoara, Physical Education and Sport, Romania

Marioara Nicoleta Filimon, West University of Timisoara, Biology-Chemistry, Romania

Vasile Ostafe, West University of Timișoara, Biology-Chemistry, Romania

ISVORAN ADRIANA, West University of Timisoara, Biology-Chemistry, Romania

Abstract: Difenoconazole (DFC) is a fungicide managing to control a comprehensive range of fungi causing diseases of field crops. It usually comes into contact with soil, where it may undergo a variety of transformations and/or causes the loss of soil fertility or environmental damages. Within this study we use a computational approach to investigate the potential binding of DFC to soil chitinases. Computational characterization of the substrate binding sites of Serratia marcescens and Bacillus cereus chitinases using Fpocket tool reflects the role of hydrophobic residues for the substrate binding and the high local hydrophobic density of both sites. Molecular docking study reveals that difenoconazole is able to bind to Serratia marcescens and Bacillus cereus chitinases active sites, the binding energies being comparable. These results are in good agreement with the logP value (4.86) of DFC and published data reflecting that difenoconosale and its stereoisomers are degraded by soil microflora.
Ring Dark Solitons in Toroidal Bose-Einstein Condensates

Lauri A. Toikka, University of Turku, Department of Physics and Astronomy, Finland

Kalle-Antti Suominen, University of Turku, Department of Physics and Astronomy, Finland

Abstract: Ring dark solitons (RDSs) are examples of nonlinear quantum states that can be supported by a Bose-Einstein condensate (BEC). Unlike the well-known planar dark solitons, exact analytic expressions for RDSs are not known. We address this problem by presenting exact localised soliton-like solutions to the radial Gross-Pitaevskii equation. To date, RDSs have not been experimentally observed in cold atomic gases, either. To this end, we propose two protocols for their creation in experiments. In addition, we present results regarding the dynamics and stability of RDSs. Under certain trapping potentials, we show that the decay of RDSs into circular arrays of vortex-antivortex pairs can be reversible, but eventually the decay leads to a state with some properties of quantum turbulence.
Ferromagnetic/superconducting interface in a hybrid nanoscopic disc

JESUS GONZALEZ, UNIVERSIDAD DEL MAGDALENA, DEPARTAMENTO DE FISICA, Colombia

JOSE AGUILAR, Universidad del Magdalena, Facultad de Ingeniería, Colombia

JOSE BARBA, Universidad Nacional de Colombia, Departamento de Física, Colombia

Abstract: The oscillations exhibited by the magnetization of superconducting nano and mesoscopics structures as a function of the applied magnetic field has attracted attention in the last few years. Nano/Mesoscopic hybrid systems in contact with ferromagnets exhibit interesting transport properties related to the influence of the exchange field on the density of states of clean ferromagnetic structures in contact with superconductor. In this work we study the vortex configurations in a superconducting disk with one central defect inside. The sample is surrounded by a ferromagnetic medium. We calculate the spatial distribution of the Cooper pairs and the phase of the superconducting order parameter and obtain magnetization, free energy and vorticity curves as a function of the magnetic applied field. We found that the first vortex penetration field decrease when a ferromagnetic/superconducting interface is used.
The Solutions of the equations of pulse propagation in optical fibers

Yuliya Zhiganshevna Pchelkina, Samara State Aerospace University (SSAU), The Department of applied mathematics, Russian Federation

Ivan Alimenkov, Samara State Aerospace University (SSAU), Applied mathematics, Russian Federation

Abstract: The solution of the equation of propagation of optical pulses in optical fibers is founded in quadratures. The expanded equation of propagation of optical pulses in silica optical fibers is displayed. The localized solution is founded. The decision of the extended equation of propagation of optical pulses in optical fibers for arbitrary functions of the response of a nonlinear medium for external harmonic perturbation is founded in quadratures .
Mathematical Modelling on Chemically Reacting Boundary Type Flow under Reduced Gravity Conditions

Wang Hui Ying, University of Poitiers, Pprime-CNRS, France

Abstract: A fire on board spacecraft is, though unlikely owe to strict safety measures, one of the scenarios with the highest damage potential for hardware and crew. In spacecraft, where buoyancy is negligible, the flow is limited to that induced by the ventilation system with a characteristic velocity of 0.2 m/s. Therefore, the flow is expected to be laminar. The most likely scenario of a flame incidentally initiated and spread on board spacecraft is a wall of combustible material adjacent to a low Reynolds number gas flow (forced by the venting system) and exposed to a critical ignition source. When analysing a combustion process, transport equations can be scaled and characteristic parameters can be extracted. In normal-gravity, a buoyantly induced velocity generates an upper limit for all time scales and dominates all forms of transport. All forms of transport slower than natural convection can thus be neglected. In micro-gravity this upper limit disappears and different phenomena, negligible in normal gravity, become relevant and sometimes of great importance. This is the case for all combustion processes related to fire and in particular the estimation of material flammability. Ignition includes solid and gas phase processes. Those related to the solid phase are relevant to the material and can be extrapolated to micro-gravity. The processes related to the gas phase are affected by buoyancy and thus require further attention. Under conditions of reduced gravity where the effects of buoyancy are small, due to the absence of natural convection, time scales associated with combustion processes are much longer and radiation can be the predominant mode of heat transfer even for small diffusion flames. Soot production is enhanced with increasing residence times, further emphasizing the role of radiation. Thus the ability to control soot formation and radiative emissions in nonpremixed combustion is of extreme importance to spacecraft fire safety. The research presented tends to provide fundamental numerical knowledge on co-current, boundary type flame spread. The objective of this work is to use the detail from the numerical simulations to gain further insight into the effects of the fuel injection rate on the soot formation and associated heat flux on a boundary layer diffusion flame. To understand and analyze the flame spread under conditions of reduced gravity, the most important issue is the identification of the flame position/ geometry and associated heat flux. A numerical study is performed to give a quantitative description of soot formation and associated radiation flux with different fuel injection rate. The strong coupling between soot and radiation are studied in three-dimensional flames by solving the Navier-Stokes fluid dynamic equations of elliptic, reacting flow. Binary diffusion coefficients, thermal conductivity and viscosity coefficients are all temperature and composition dependent. Investigations on the effects of fuel (ethylene) injection rate on the geometric characteristics, localisation and stability of the boundary diffusion flame are performed. The computed soot volume fraction is compared with experimental data from a laminar ethylene diffusion flame established over a horizontal flat plate in micro-gravity environment, and a relatively good agreement is attained. An increase of fuel injection velocity results in a significant increase in integrated soot formation. A stable symmetrical flame and counter-rotating vortex in the cross-section is generated even under microgravity conditions with an increase of fuel injection velocity. The extent of the flame in cross-stream plane surpasses significantly the pyrolysis zone. Development of the counter-rotating vortex leads to the formation of the kidney-shape structure on the cross-stream plane for the temperature. This allows soot particle for long residence times before crossing the flame sheet at fuel-rich conditions, and enhances soot formation.
A different model for open vehicle routing problem

Semih ONUT, Yildiz Technical University, , Turkey

Mehmet Kamber, Yildiz Technical University, , Turkey

Abstract: Open vehicle routing problem (OVRP) is a generalization of vehicle routing problem (VRP) where vehicles do not require to return to the depot. A new variant of OVRP, heterogeneous fleet balanced open vehicle routing problem (HFBOVRP), is studied in this study. There are more than one types of vehicles which can be assigned to tours, so the problem is a heterogeneous fleet OVRP. First objective is to minimize the total transportation cost. The second objective is to balance the tour lengths. Some theoretical instances are generated and problems are solved by optimization methods.
The Analysis of a Reactive Hydromagnetic fluid flow in a channel through a Porous Medium with Convective Cooling.

Hassan Anthony R., Tai Solarin University of Education, Ijagun, Ogun State, Department of Mathematics, Nigeria

Abstract: This study investigates the analysis of a reactive hydromagnetic fluid flow between two parallel plates through a porous medium with convective boundary conditions. Neglecting the consumption of the material which is exothermic under Arrhenius kinetics; it is assumed that the flow system exchanges heat with the ambient following Newton’s cooling law. Analytical solutions of the nonlinear dimensionless equations governing the fluid flow are obtained using the traditional perturbation method and Adomian Decomposition Method (ADM) together with the diagonal Pade Approximation which is used to determine the thermal criticality values as well as bifurcation conditions. Effects of all – important flow properties on the fluid flow are also presented and discussed.
Transient and Post-irradiation Response of Optoelectronic Devices to Ionizing Radiation

Dr. Haider F Abdul Amir, Universiti Malaysia Sabah, Physics with Electronic, Malaysia

Abstract: Space and ground level electronic equipment with semiconductor devices are subjected to the deleterious effects by radiation. This paper is attempted to present the transient and post-irradiation response of optoelectronic devices to gamma (γ) rays utilizing cobalt-60. In situ measurements were made on the devices under test (DUTs) up to a total dose of 60 krad followed by a post-irradiation not in-flux test for eight hours. Current transfer ratio (CTR) with is the vital merit of the optoelectronic system is found to decrease remarkably with the absorbed dose. This degradation is induced by the interaction of the energetic photons from gamma rays via two main mechanisms. The dominant effect is the mechanism by ionization while the secondary is by displacement. This radiation effect is found to arouse either a permanent or temporarily damage in the DUTs depending on their current drives and also the Total Ionizing Dose (TID) absorbed. The TID effects by gamma rays are cumulative and gradually take place throughout the lifecycle of the devices exposed to radiation. The full damage cascade phenomenon in the DUTs is calculated via the simulation.
MR Image Intensity Inhomogeneity Correction

Punga (Visan) Mirela, Dunarea de Jos University, Galati, Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, Romania

Simona Moldovanu, Dunarea de Jos University, Galati, Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos , Romania

Luminita Moraru, Dunarea de Jos University of Galati, Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Romania

Abstract: MR technology is one of the best and most reliable way to study the brain. Its main drawback is the so-called intensity inhomogeneity or bias field which impairs the visual inspection and the medical proceedings for diagnosis and strongly affects the quantitative image analysis. In order to accurately and effectively restore the original signal, we address here to filtering, bias correction and quantitative analysis of correction. In this report, we used two denoising algorithms; (i) Basis rotation fields of experts (BRFoE) and (ii) Anisotropic Diffusion (when Gaussian noise, the Perona-Malik and Tukey's biweight functions and the standard deviation of the noise of the input image are considered). Then, the bias field correction is done by using the level set methods. Various metrics, such as Mean Square Error, Peak Signal to Noise Ratio, Normalized Cross-Correlation, Average Difference, Structural Content and Normalized Absolute Error are computed in order to assess the performance of the proposed method.
Analytical Models for the Interactions between a Gas Mixture and Quartz Micro Balance Sensor Array

Abbas Abdelaziz, Centre de recherche en Soudage et Contrôle (CSC), , Algeria

Abstract: The aim of this work is to develop analytical models for the thermodynamic equilibrium at the interfaces (gas mixture / Quarz Micro Balance sensor arrays . Differential equations, which describe the change in the partial sensitivities of the sensor array elements depending on the gas mixture components concentrations, and the sensor array parameters, have been developed. Moreover, the responses of the sensor array as a function of the concentrations of the gas mixture components have been modeled.
CFD-Exergy Analysis of the Flow in a Supersonic Steam Ejector

Mohamed BOULENOUAR, USTO-MB, Génie Maritime, Algeria

Ahmed OUADHA, USTO-MB, Génie Maritime, Algeria

Abstract: Owing to the growing price of energy and environmental concerns, it is not surprising that the refrigeration industry is continuously looking for alternative solutions to conventional refrigeration systems. A promising alternative is ejector refrigeration systems using steam water as the working fluid. In an ejector refrigeration system, the mechanical compression is replaced by a thermal compression using an ejector. Ejector simplicity (i.e., it has no moving parts) compared to conventional systems and its low cost make it very attractive. Ejector refrigeration systems have the advantage of being simple, easy to install and require less maintenance. In addition, in an ejector system, the compression can be directly obtained without using mechanical power. They can be driven by thermal energy from solar energy or waste heat from industrial processes. However, because of their low coefficient of performance, ejector refrigeration systems are less dominant as compared to conventional refrigeration systems. Therefore, in order to promote the use of these systems, it is essential to improve their performance. This necessarily requires the understanding and improvement of the entrainment process in the ejector. Understanding the entrainment process and the mechanisms responsible for the losses in an ejector is essential in order to construct more efficient ejector refrigeration systems. Methods used to improve its efficiency present complicated issues for both experimental and numerical investigations, especially those aimed at optimisation of the ejector geometry. Experimental techniques usually do not cover the whole operating parameters range of an ejector. These techniques can be successfully complemented using appropriate numerical simulations. The advances in computational fluids dynamics methods permitted the development and implementation of mathematical models for the simulation of complex phenomena encountered in supersonic steam ejectors used in refrigeration systems. The flow field and the associated heat transfer can be described with less restriction using numerical methods offering possibilities for performance improvements of either components or systems. Numerical simulations of the flow can significantly reduce the time and cost in designing of ejectors before the first prototype is produced. In order to use efficiently and effectively the energy resources, recent analyses join quality to quantity of the energy used to realize a given purpose. In other words, associate the second law of thermodynamics which deals with the quality to the first law of thermodynamics dealing with the quantity of energy. The exergy, defined as the maximum useful work that can be extracted from a system in any process which brings the system into equilibrium with its environment, can be used to assess the quality of energy resource. The exergy concept which is based on the second law of thermodynamics is a powerful tool that identifies the location and the magnitude of irreversibilities in a process. The identification of irreversibilities will help to find and design more efficient processes. Exergy analysis presents also the advantage of evaluating meaningful efficiencies that measure how far the efficiency of a system or process deviates from ideality. Further, this technique permits to identify the causes, locations and magnitudes of exergy losses. Generally, exergy analysis uses thermodynamics-based models. These models are based only on mean values of inlet and outlet parameters. Although, these models are simple and cheap in terms of computation, they fall in predicting the fluid motion features. Fluid motion details can be easily obtained using CFD models. In this case, an exergy analysis can be carried using CFD-based models. These models provide all fluid motion details by solving a set of differential equations representing conservation of mass, momentum and energy and turbulence models. Only few studies on exergy analysis have been found in the open literature to the best of the authors’ knowledge, although there are many studies related to ejectors. The current study aims to carry out a CFD-exergy based analysis to assess the main areas of loss in a supersonic steam ejector encountered in ejector refrigeration systems. The governing equations for a compressible flow are solved using finite volume approach based on SST k- model to handle turbulence effects. Flow rates and the computed mean temperatures and pressures have been used to calculate the rate of exergy at the ejector inlets and outlet as well as the exergy losses within the ejector. Furthermore, the exergy efficiency of the ejector has been calculated.
Applying Enhancement Filters in the Pre-processing of Images of Lymphoma

Sergio Silva, Federal University of Uberlândia, Faculty of Mechanical Engineering, Brazil

Marcelo Zanchetta do Nascimento, Federal University of Uberlândia, FACOM, Brazil

Valério Batista, Federal University of ABC, CMCC, Brazil

Leandro Neves, São Paulo State University, DCCE, Brazil

Abstract: Lymphoma is a type of cancer that affects the immune system, and is classified as Hodgkin or non-Hodgkin. It is one of the ten types of cancer that are the most common on earth. Among all malignant neoplasms diagnosed in the world, lymphoma ranges from three to four percent of them. Our work presents a study of some filters devoted to enhancing images of lymphoma at the pre-processing step. Here the enhancement is useful for removing noise from the digital images. We have analysed the noise caused by different sources, like room vibration, scraps and defocusing, and in the following classes of lymphoma: follicular, mantle cell and B-cell chronic lymphocytic leukemia. The filters Gaussian, Median and Mean-Shift were applied to different colour models (RGB, LAB and HSV). Afterwards, we performed a quantitative analysis of the images by means of the Structural Similarity Index and the Mean Squared Error. This was done in order to evaluate the similarity between the images. In all cases we have obtained a certainty of at least 75%, which rises to 99% if one considers only HSV. Namely, we have concluded that HSV is an important choice of colour model at pre-processing histological images of lymphoma, because in this case the resulting image will get the best enhancement.
Ab initio study of the electronic band structure of the valence band of II-VI C(2×2) reconstructed surfaces

Alberto Rubio, Universidad Autónoma Metropolitana - Azcapotzalco, Ciencias Básicas, Mexico

Daniel Olguín, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Departamento de Física, Mexico

Abstract: The structural and electronic properties of the CdTe(001), CdSe(001), and ZnSe(001) C(2×2) reconstructed surfaces have been studied in the framework of the first principles calculations. To simulate the surface, a seventeen atomic layers slab was used, where also we add four atomic layers of vacuum. Using the experimentally determined lattice parameter as input we have relaxed the internal atomic positions of the outer atomic layers. We show that our model reproduces properly the surface structural parameters, as well as known electronic properties found in bulk for these compounds. Then, we discuss our results of the projected bulk bands and the surface and resonance states found for these surfaces.
Basic idea of Corbino-type single-electron transistor

Akira Suzuki, Tokyo University of Science, Physics, Japan

Hisao Taira, Tokyo University of Science, Department of Physics, Japan

Abstract: We have formulated the transmission probability of an electron in a Corbino quantum disk by taking into account charging effect. The confining potential of the Corbino disk has a singularity at the centre of the disk. In order to avoid this singularity problem, we have to reformulate the Schroedinger equation in the Riemannian manifold. The Schroedinger equation describing the electron in Corbino disk must be expressed by introducing a momentum operator reformed by the metric tensor since the original momentum operator is not Hermitian. In order to obtain a Hermitian momentum operator, it requires the deformation of the Hilbert space by introducing a new wave function. This deformation leads to the extra effective potential term in the Schroedinger equation, which depends on the metric, i.e. the geometry of the disk. It should be noted that the charging energy due to the confinement of electrons in the Corbino disk strongly depends on the geometry of the disk. Thus, we discuss the quantum tunneling of a particle confined in the Corbino disk to investigate the effect of both the effective and charging energy of the effective confining potential by using the Wentzel-Kramers-Brillouin (WKB) approximation. We will present that the transmission probability strongly depends on the charging energy. This suggests that the formulated transmission probability is applicable to the analysis of the single-electron transistor.
A new type of Wavelets and its relation to Gabor analysis

Ehud Moshe Baruch, Tecnion, Mathematics, Israel

Abstract: We introduce a new type of wavelets. These wavelets interpolate between the classical wavelets frames and a Gabor analysis type frames. We introduce a family of new wavelets which are suitable for localized signals and another family which is suitable for localized frequency.
Quantum Magnets and Matrix Lorenz Systems

Stam Nicolis, CNRS-LMPT Tours, Physics Department, France

Abstract: The Landau–Lifshitz–Gilbert equations for the evolution of the magnetization, in presence of an external torque, can be cast in the form of the Lorenz equations and, thus, can describe chaotic fluctuations. To study quantum effects, we describe the magnetization by matrices, that take values in a Lie algebra. The finite dimensionality of the representation encodes the quantum fluctuations, while the non-linear nature of the equations can describe chaotic fluctuations. We identify a criterion, for the appearance of such non-linear terms. This depends on whether an invariant, symmetric tensor of the algebra can vanish or not. This proposal is studied in detail for the fundamental representation of u(2) = u(1) × su(2). We find a knotted structure for the attractor, a bimodal distribution for the largest Lyapunov exponent and that the dynamics takes place within the Cartan subalgebra, that does not contain only the identity matrix, thereby can describe the quantum fluctuations.
Multiscale cross-correlation analysis of Shanghai stock market

Dan Li, Wuhan University of Technology, , China

Qingju Fan, School of Science, Wuhan University of Technology, Department of Statistics, China

Abstract: In this paper, we investigate the correlation and cross-correlation behaviors in Shanghai stock market by combining the traditional detrended fluctuation analysis (DFA) and detrended cross-correlation analysis(DCCA) method with moving fitting windows, respectively. The new method can not only show detailed scale exponent properties of non-stationary time series in small and large scale simultaneously, but also provide a more faithful and more interpretable description of series under investigation. Using the moving fitting windows, we find that the correlations in Shanghai B-share is stronger than Shanghai A-share on the whole, and we also show the dynamic long–range cross-correlations behaviors between Shanghai A-share and B-share index series.
High order multi-step variational integrators

Dimitrios Vlachos, University of Peloponnese, Department of Informatics and Telecommunications, Greece

Abstract: In this work, we present a new approach to the construction of variational integrators. In the general case, the estimation of the action integral in a time interval [qk,qk+1] is used to construct a symplectic map (qk,qk+1) → (qk+1,qk+2). The basic idea here, is that only the partial derivatives of the estimation of the action integral of the Lagrangian are needed in the general theory. The analytic calculation of these derivatives, give raise to a new integral which depends not on the Lagrangian but on the Euler–Lagrange vector, which in the continuous and exact case vanishes. Since this new integral can only be computed through a numerical method based on some internal grid points, we can locally fit the exact curve by demanding the Euler–Lagrange vector to vanish at these grid points. Thus the integral vanishes, and the process dramatically simplifies the calculation of high order approximations. The new technique is tested for high order solutions in the two-body problem with high eccentricity (up to 0.99) and in the outer solar system.
On the Integrability and Linearization of the Second Order Differential Equations via First Integrals and Sundman Transformation

ÖZLEM, ORHAN, , Turkey

Teoman Özer, Istanbul Technical University, Civil Engineering , Turkey

Abstract: In this study, we consider the ordinary differential equations of the form x ̈+a2(t,x)x ̇2+a1(t,x)x ̇+ a0(t, x) = 0. The second order ordinary differential equations in this form have first integrals of the form A(t, x)x ̇ +B(t, x), λ-symmetries and integrating factors. The purpose of this study is to characterize the second order differential equations and integrate these equations by using first integrals and λ-symmetries. We use an algorithm to calculate these symmetries. Furthermore, we characterize equations that can be linearized by means of nonlocal transformation which is called Sundman transformation. We can apply these algorithm and transformation to nonlinear fin equation where has thermal conductivity and heat transfer coefficients, which are considered as functions of temperature. We obtain first integrals for different coefficients of fin equation. Finally, we compare the results obtained by different methods.
Function projective synchronization of two identical discrete-time hyperchaotic systems

Suping Qian, Changsha institute of technology, School of Mathematics and statics, China

Abstract: A function projective synchronization is defined in discrete-time dynamical systems, in which the drive and response state vectors evolve in a proportional scaling function matrix. Based on backstepping design with three controllers, a systematic, concrete and automatic scheme is developed to investigate the function projective synchronization of two identical discrete-time hyperchaotic systems. Numeric simulations are used to verify the effectiveness of our scheme.
Cluster analysis of word frequency dynamics

Yulia Maslennikova, Kazan federal university, Institute of Physics, Russian Federation

Vladimir Bochkarev, Kazan Federal Univercity, Radiophysics departament, Russian Federation

Inna, Kazan Federal University, , Russian Federation

Abstract: This paper describes the analysis and modelling of word usage frequency time series. During one of the previous studies, an assumption was put forward that all word usage frequencies have uniform dynamics that is near to a form of a Gaussian function. This assumption can be checked using frequency dictionaries of Google Books Ngram database. Google Books database includes 5.2 million books published between 1500 and 2008. The corpus contains over 500 billion of American English, British English, French, German, Spanish, Russian, Hebrew, and Chinese words. In this research, time series of word usage frequencies were clustered using a Kohonen's neural network. The similarity between input vectors was estimated using both algorithms: the Spearman rank correlation coefficients and the maximum likelihood method. As a result of the neural network training procedure, more than ten different forms of time series were found. They correspond to dynamics of word usage frequencies from the word birth to the word death. Сonsequently, different groups of word forms have different dynamics of word usage frequency variations.
Evaluation of outliers in acquired brain MR images

Simona Moldovanu, Dunarea de Jos University, Galati, Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos , Romania

Luminita Moraru, Dunarea de Jos University of Galati, Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Romania

Punga (Visan) Mirela, Dunarea de Jos University, Galati, Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, Romania

Abstract: Pre-processing is an important stage in the analysis of magnetic resonance images (MRI), because the effect of specific image artefacts, such as intensity inhomogeneity, noise and low contrast can adversely affect quantitative image analysis. Image histogram is a useful tool to analyse MR images as it allows a close relationship with important image features as contrast and noise. The noise and variable contrast are elements that locally modify the quality of images. The key issue of this study derives from the fact that spatial histogram can contain outliers indicating corrupted image information through the disorder of the bins. These aberrant errors should be excluded from the studied data sets. Here, the outliers are evaluated by using rigorous methods based on the probability theory and Chauvenet (CC), Grubbs (GC) and Prices (PC) criteria. In order to check the quality of the MR images, the Minkowsky (MD), Euclidean (ED) and cosine (CD) distance functions were used. They act as similarity scores between histogram of the acquired MRI and processed image. This analysis is necessary because, sometimes, the distance function exceeds the co-domain due to the outliers. In this paper, 32 MRIs are tested and the outliers are removed so that the distance functions generate uncorrupted and real value.
Biochemical and histopathological response of liver rats induced by antilipolytic drugs.

Nofal, Menoufia university Egypt, Zoology, Egypt

Abstract: The present study provides evidence that 1,5-Bis (3,5-Dimethylpyrazol-1-yl)-3-oxapentane-diacetatocopper has an antidiabetic effect, as hypoglycemic agent and as antilipolytic agent, but with many abnormalities. Animals treated with 1,5-Bis (3,5-Dimethylpyrazol-1-yl)-3-oxapentane-diacetatocopper revealed many histopathological, biochemical, histochemical and immunohistochemical alterations on the liver. Sera of animals treated with 1,5-Bis (3,5-Dimethylpyrazol-1-yl)-3-oxapentane-diacetatocopper revealed a significant increase in ALT and AST. The present study revealed many histopathological alterations on the liver; inflammatory infiltration, marked vacuolated cytoplasm in cells, congestion of blood vessels, hemorrhage, pyknotic cells and binucleated cells, as well as, some of the degenerated cells showed karyorhexis, pyknosis and area of necrosis, as well as, significant decrease in proteinic contents on the liver. the present study revealed negative expression of Bcl-2 proteins in all hepatic cells of control rats and positive expression of Bcl-2 proteins in hepatic cells of treated rats with 1,5-Bis(3,5-Dimethylpyrazol-1-yl)-3-oxapentane-diacetatocopper.
RELAXED ELASTIC LINES OF SECOND KIND IN SEMI-DUAL SPACE

Gülşah Aydın, süleyman demirel university, , Turkey

A.Ceylan ÇÖKEN, University of Süleyman Demirel, Department of Mathematics, Turkey

Abstract: Theory of elasticity is a topic that keeps improving by using on many fields such as geometry, physics, chemistry and engineering. Energy density is given as some functions of curvature and torsion. If the curve of the α will be an external for the variation problem that minimizes the value of energy density; then this curve is called as relaxed elastic line. The relaxed elastic line on an oriented surface is considered as a model of DNA molecule. In this study, we worked on the second type relaxed elastic lines on the semi-dual spaces which has an important point on kinematic and Einstein’s relativity theory. We also obtained boundary conditions for this type of curves. Moreover, the minimization problem of the energy which occurs with an applied force on an elastic line was discussed. Then, we researched the formed potential energy due to the applied force. Also, during the calculation of the potential energy on the elastic line, the amount of the potential energy for unit length of the elastic line was used. Afterwards, by integrating that amount, total potential energy calculated. So, we study to make a contribute both Einstein’s relativity theory and kinematic.
Computer simulation of electron states of the isoelectron substitutional impurities in quantum wire of KCl with edge dislocation

Yury K. Timoshenko, Voronezh State University, Department of Mathematical and Applied Analysis, Faculty of Applied Mathematics, Informatics, and Mechanics, Russian Federation

Valentina Shunina, Voronezh State Technical University, Department of Information Technologies and Computer Safety, Russian Federation

Alexander I. Shashkin, Voronezh State University, Department of Mathematical and Applied Mathematics, Faculty of Applied Mathematics, Informatics, and Mechanics, Russian Federation

Abstract: Yury K. Timoshenko, Valentina A. Shunina, Alexander I. Shashkin The electron states of quantum wires KCl, KCl:Br, and KCl:J with an edge dislocations were investigated. The tight-binding semi-empirical band approximation and non-empirical cluster approach were used. Semi-empirical calculations were carried out in framework of model [1, 2]. Besides, the algorithms for electronic levels calculations of polar nanosystems with the partial self-consistency [3] were used. Using results of computer modelling we discuss the problem of localization of electronic states near the line of edge dislocation. References 1. Timoshenko Yu K and Shunina V A 2005 Phys. Stat. Sol. (c) 2 1788 2. Timoshenko Yu K and Shunina V A 2009 Surface Sci. 603 2564 3. Timoshenko Yu K Journal of Physics: Conference Series 490 (2014) 012173 doi:10.1088/1742-6596/490/1/012173
The generalized uncertainty principle as quantum gravitational friction

Pedro Bargueno, Universidad de los Andes, Física, Colombia

Abstract: The Generalized Uncertainty Principle gives place to deformed commutation relations which are linear or quadratic in particle momenta. In this talk we show that, in the linear case, which corresponds to double special relativity theories, this deformation is equivalent to a gravitationally-induced damping process in an Ohmic environment at zero temperature. Therefore, both minimum length and maximum momentum give place to quantum gravitational friction.
Wormholes Threaded by Chiral Fields

Theodora Ioannidou, Aristotle University of Thessaloniki, Department of Mathematics, Physics and Computational Sciences, Greece

Abstract: We consider Lorentzian wormholes with a phantom field and chiral matter fields. The chiral fields are described by the non-linear sigma model with or without a Skyrme term. When the gravitational coupling of the chiral fields is increased, the wormhole geometry changes. The single throat is replaced by a double throat with a belly inbetween. For a maximal value of the coupling, the radii of both throats reach zero. Then the interior part pinches off, leaving a closed universe and two (asymptotically) flat spaces. A stability analysis shows that all wormholes threaded by chiral fields inherit the instability of the Ellis wormhole.
The peculiarities of magnetization processes in layered high-temperature superconductors with ferromagnetic defects under applying of transport current and external magnetic field

Vladimir Kashurnikov, National Research Nuclear University MEPhI, Department of Physics of the Solid State and Nanoscaled Systems (№70), Russian Federation

Anastasiia Maksimova, National Research Nuclear University MEPhI, Department of Physics of the Solid State and Nanoscaled Systems (№70), Russian Federation

Igor Rudnev, National Research Nuclear University MEPhI, Department of Physics of the Solid State and Nanoscaled Systems (№70), Russian Federation

Abstract: The Monte-Carlo method was used for study of magnetization processes in 2D high-temperature superconductors with internal ferromagnetic defects under application of transport current and external dc magnetic field. The magnetic part of the pinning force was calculated as an energy of interaction of magnetic dipole of ferromagnetic defect with the field of Abrikosov vortex. The self-consistent interaction between magnetic moments of the particles and the vortex system was taken into account. The current-voltage characteristics (VACH) in presence of external dc magnetic field were calculated. A novel S-type of current-voltage characteristics of the superconductor/ferromagnet system in external magnetic field was demonstrated. It was shown that the S-type nonlinearity is due to the local reversal magnetization of magnetic particles by the field of vortices. The effect of temperature, value of external magnetic field and defect concentration on magnetization processes were analyzed. The H-T phase diagram which demonstrates the region of existence VACH nonlinearity was obtained. Vortex configurations arising during magnetization were obtained. The conditions for electromagnetic generation at the region of nonlinearity were found and the frequency of such a generation was estimated.
Sharpening technique to decrease comb passband deviation

Gordana Jovanovic Dolecek, Institute INAOE, Electronics, Mexico

Abstract: This paper deals with the wideband compensation of the comb decimation filter pass-band droop using the sharpened technique. The sharpening technique is introduced for simultaneous improvements of both the pass-band and stop-band of a linear-phase FIR (Finite Impulse Response) filters. The technique uses the amplitude change function (ACF) which is a polynomial relationship between the amplitudes of the sharpened and the prototype filters. One-stage and two two-stage sharpened-based compensated combs are proposed taking the cascaded narrowband and wideband compensators. The choice among structures offers a trade-off between the complexity and the pass-band improvement. The resulting pass-band characteristic is almost flat for the one-stage decimation comb structure. In the two-stage structures the sharpening is performed only at the second stage and as a result the pass-band deviation is slightly increased but it is less than 0.05db. The proposed structures are compared with the compensated combs introduced in the open literature.
COMPTON OPERATOR IN QUANTUM ELECTRODYNAMICS

Enrique Ortega Muñoz, Instituto Politécnico Nacional, Ingenieria Quimica, Mexico

Abstract: In the frame in the quantum electrodynamics exist four basic operators; the electron self-energy Σ, vacuum polarization Π, vertex correction Λ, and the Compton operator, denoted by C. The first three operators are very important by its relation with renormalized ans Ward identity. However, the Compton operator has equal impotance, but without divergence, and Little attention has been given it. We have calculated the Compton operator and obtained the closed expression for it in the frame of dimensionally continuos integration and hypergeometric functions.
Time adaptive phase fitted variational integrators using a space-time geodesic approach

Odysseas Kosmas, University of Erlangen-Nuremberg, Mechanical Engineering, Germany

Abstract: In this work, we investigate the use of space-time geodesic approach of classical mechanics in order to derive time adaptive phase-fitted variational integrators. The proposed technique is tested in systems with separable Lagrangians. Towards this end, at first we unfold the standard Euler-Lagrange system to its space-time manifold and, then, we recast it as a geodesic problem in which the potential energy part is absent. Preliminary simulated results on the Kepler problem (without optimizing the choice of step sizing) show that, one can use the space-time geodesic formulation to generate an adaptive scheme that still preserves some underlying geometric structure.
Study on EP resin modified NANO-SILICA and mechanical properties of composites

Ju Chunhua, Harbin Institute of Technology, Material Science, China

Abstract: Owing to their light, excellent mechanical properties and a series of other advantages, and obviously advantage of lightweight of polymer composite Liquid Oxygen (LOX) tank, composite materials have been critical and broadly studied in the development of the launch vehicles of next generation, especially in the propelling system. In this present research, prepared polymer matrix of composite was modified, and influence of composite materials interface and mechanical properties at room and low temperature was studied. We want to prepare composite with good properties and wish to the lay a good foundation of this area for the following researchers. Curing kinetics and mechanism of polymer matrix are exmined by means of TG-DSC and FTIR. Using the result of dynamic contact angle, micro-debonding and mechanical properties of composite materials and matrix, influence of modified with nano-silica resin to composite at room and low temperature, and low temperature to matrix, interface, mechanical properties of composite, are exmined.
Modeling deformation and fracture of Ni nanofilm

Mohammed, Physics department, Faculty of science, Menoufia university, Egypt, Physics , Egypt

Abstract: Morse potentials were employed to carry out three dimensional molecular dynamics simulations. A computer experiment is performed at a temperature corresponding to 300K and 1000K. MD simulation used to investigate the effect of cross-sectional area of Ni nanofilm on the nature of deformation and fracture. The engineering stress–time diagrams obtained by the MD simulations of the tensile specimens of these Ni nanofilms show a rapid increase in stress up to a maximum followed by a gradual drop to zero when the specimen fails by ductile fracture. The feature of deformation energy can be divided into four regions: quasi-elastic, plastic, flow and failure. The results showed that breaking position depended on the nanofilm length cross-sectional area.
Modeling and simulation of a batch reactor with automatic temperature control applied to fine chemicals.

Hachama Kamel, Laboratory valorization on natural substances, Khemis Miliana University, Sciences and Technology, , Algeria

BEZZINA MOHAMED, University of Khemis-Miliana, , Algeria

ZOUANTI MUSTAPHA, University of Khemis-Miliana, , Algeria

Abstract: The approach presented in this work aims to develop a methodology for modeling of a batch chemical reactor, which takes place in these, two consecutive reactions, irreversible, highly exothermic and in a homogeneous liquid phase. We are interested in this study of the thermal stability of the system and the evolution of concentration of the reactants and products as a function of time. This methodology is the first step to develop a comprehensive model that takes into account, the coupling between the equations of material balance, energy balance equations and the system of control and regulation. The results are used to study the operation of the reactor and predict its behavior in various situations, and allow us to optimize its operation to increase efficiency and ensure quality products, while avoiding thermal runaway.
Two-Step Syntheses of 3-Methyl-1,2,4-Benzotriazine

Hachama Kamel, Laboratory valorization on natural substances, Khemis Miliana University, Sciences and Technology, , Algeria

KHODJA MOHAMED, University Blida 1, , Algeria

ZOUIKRI MOHAMED, University Blida 1, , Algeria

Abstract: The reduction cyclization of nitrophenylhydrazones has been widely used to afford nitrogen-based heterocyclic molecules. To name but a few, there are 4H-pyrazolo-[1,5-a] benzimidazoles, ethyl-(1,2,4-benzotriazine-3-yl) acetate and its derivatives, benzo[1,2-b:5,4-b]bis(1H)-imidazo[1,2-b]pyrazoles. Several pathways for the synthesis of 1,2,4-Benzotriazines have been reported. In continuation of our work on heterocyclic synthesis, we developed short pathways to produce 2-Methyl-1,2,4-benzotriazine compounds and some of its derivatives, were prepared in yields to (50-70%), via a reductive cyclization by a PtO2-catalyzed hydrogenation, of the corresponding 2-nitrophenylhydrazones of the pyrivic acid. The later compounds were obtained in yields higher than 90% by reacting 2-nitrophenylhydrazines with sodium pyruvate salt.
High Performance Computing based on the CPU and GPU systems for the Quantum Trajectory Method

Joanna Wiśniewska, Military University of Technology, Faculty of Cybernetics, Poland

Marek Sawerwain, University of Zielona Góra, Institute of Control and Computation Engineering, Poland

Wiesław Leoński, University of Zielona Góra, Quantum Optics and Engineering Division, Institute of Physics, Poland

Abstract: Nowadays, the dynamic progress in computational techniques allows for a development of various methods which offer significant speed-up of computations, especially those related to the problems of quantum optics and quantum computing. In this work, we propose computational solutions which re-implement the Quantum Trajectory Method (QTM) algorithm in the modern parallel computation environment where multi-core CPUs and modern many-core GPUs can be used. As the effect, more effective computational routines - than those applied in other commonly used packages, such as Quantum Optics Toolbox for Matlab or QuTIP for Python - are obtained. The QTM algorithm is still widely used method for examination of open quantum systems, but its application requires a special attention at its reimplementation in modern hardware systems, especially those comprising GPUs. The main problem in application of QTM is to focus on a proper definition and use of computational grid (or computational index space), and it is especially important in implementation for CUDA technology discussed here. The proposed implementation of QTM is also a hybrid method, in which power of traditional CPU and modern GPU is combined to obtain highly effective and precise routines for simulation of the dynamics of open quantum systems. It should be pointed out that discussed here solution, based on GPUs, is about 20 or even 50 times faster than other implementations of QTM prepared for traditional serial CPU systems. The calculation speed-up in proposed implementation depends on numerical method chosen for solving ordinary differential equations (Runge-Kutta and Backward Differentiation methods were simultaneously applied in the proposed solution).
A new group theoretical approach to ultrahyperbolic general relativity

Evangelos Melas, Technological Educational Institution of Patras, Department of Management, Greece

Abstract: The Bondi$-$Metzner$-$Sachs (BMS) group $B$ is the common asymptotic group of all asymptotically flat (lorentzian) space$-$times, and is the best candidate for the universal symmetry group of General Relativity (G.R.). $B$ admits generalizations to real space$-$times of any signature, to complex space$-$times, and supersymmetric generalizations for any space$-$time dimension. Generalizations of $B$ are important both for quantum and classical G.R.. %and general relativity. In 1939 Wigner laid the foundations of special relativistic quantum mechanics and relativistic quantum field theory by constructing the Hilbert space strongly continuous unitary irreducible representations (IRs) of the (universal cover) of the Poincare group $P$. In a quantum setting the universal property of $B$ for G.R. make it reasonable to attempt to lay a similarly firm foundation for quantum gravity by following through the analogue of Wigner's programme with $B$ replacing $P$. With this motivation McCarthy constructed the IRs of $B$ some time ago. $B(2,2)$ is the generalization of $B$ appropriate to the to the `ultrahyperbolic signature' ($+$,$+$,$-$,$-$) and asymptotic flatness in null directions. Following a historical introduction and some motivating remarks on the correspondence of the IRs of $B$ and its generalisations to the solutions of the Einstein equations in all signatures as well as in complex space$-$times we continue this programme by introducing a new group $\mathcal H \mathcal B$ in the group theoretical study of ultrahyperbolic G.R. which happens to be a proper subgroup of $B(2,2)$. We give the first general results on the representation theory of $\mathcal H \mathcal B$. In particular it is proved that {\it all} little groups of $\mathcal H \mathcal B$ are compact and that the Wigner$-$Mackey's inducing construction is exhaustive despite the fact that $\mathcal H \mathcal B$ is not locally compact in the employed Hilbert topology. The significance of these results for this approach to quantum gravity as well as their repercussions for other approaches to quantum gravity is analysed. Finally relation to other work is outlined.
Application of nonlinear methods to the study of ionospheric plasma

Alexander Chernyshov, Space Research Institute, , Russian Federation

Mikhail Mogilevsky, Space Research Institute, , Russian Federation

Boris Kozelov, Polar Geophysical Institute, , Russian Federation

Abstract: Most of the processes taking place in the auroral region of Earth's ionosphere are reflected in a variety of dynamic forms of the aurora borealis. In order to study these processes it is necessary to consider temporary and spatial variations of the characteristics of ionospheric plasma. Most traditional methods of classical physics are applicable mainly for stationary or quasi-stationary phenomena, but dynamic regimes, transients, fluctuations, self-similar scaling could be considered using the methods of nonlinear dynamics. Therefore, development of methods for studies of characteristics of nonlinear processes in open dissipative systems is now actual problem, in particular, to study the Earth's ionosphere. Special interest is the development of the methods for describing the spatial structure and the temporal dynamics of auroral ionosphere based on the ideas of percolation theory and fractal geometry. The fractal characteristics (the Hausdorff fractal dimension and the index of connectivity) of Hall and Pedersen conductivities are used to the description of fractal patterns in the ionosphere. To obtain the self-consistent estimates of the parameters the Hausdorff fractal dimension and the index of connectivity in the auroral zone, an additional relation describing universal behavior of the fractal geometry of percolation at the critical threshold is applied. Also, in this work Tsallis statistics is used to study the properties of the auroral ionosphere.
Geometry Design of an Electron Dump with Simple Geo

Mert Sekerci, Süleyman Demirel University, , Turkey

Fatma OZTURK, Istanbul University, Department of Physics, Turkey

Nurgul HAFIZOGLU, Istanbul University, Department of Physics, Turkey

Suat OZKORUCUKLU, Istanbul University, Department of Physics, Turkey

Abstract: The goal of this study is to design a geometry of an electron dump with Simple Geo code which is a freeware product and provides the ability of designing complex geometric systems easily. Also, Simple Geo can output the designed geometry in many different formats. Desired design of the electron dump is to stop the 40 – 42 MeV electron beams. To reach this aim, requested geometric design with the possible material was done with Simple Geo and a FLUKA output format file created to run the simulations in FLUKA code.
Residual symmetries and B\"acklund transformations

Lou SenYue, Ningbo University , Physics Department, China

Abstract: It is known that for a given truncated Painlev\'e expansion of an arbitrary nonlinear Painlev\'e integrable system, the residue with respect to the singularity manifold is a nonlocal symmetry. It is proved that the residual symmetries can be localized to Lie point symmetries for suitable prolonged systems. For the Korteweg-de Vries equation, the $n^{th}$ Binary Darboux transformation is re-obtained by the Lie point symmetry approach companied by the localization of the $n$-fold residual symmetries.
Born Oppenheimer Molecular Dynamics calculation of the nuO-H IR spectra for acetic acid cyclic dimers

Benmalti Mohamed el Amine, Université abdelhamid ibn badis-mostaganem, Chimie, Algeria

Abstract: Both ab initio molecular dynamics simulations based on the Born-Oppenheimer approach calculations and a quantum theoretical model are used in order to study the IR spectrum of the acetic acid dimer in the gas phase. The theoretical model is taking into account the strong anharmonic coupling, Davydov coupling, multiple Fermi resonances between the first harmonics of some bending modes and the rst excited state of the symmetric combination of the two O-H modes and the quantum direct and indirect relaxation. The IR spectra obtained from DFT-based molecular dynamics is compared with our theoretical lineshape and with experiment. Note that in a previous work we have shown that our approach reproduces satisfactorily the main futures of the IR experimental lineshapes of the acetic acid dimer[Mohamed el Amine Benmalti, , Paul Blaise, H. T. Flakus, Olivier Henri- Rousseau, Chem Phys, 320(2006) 267-274.].
KP Predication by Using mixture of MLP-experts

Mina Ghoorchian, HIRBODAN ARIANA Professional Engineers Training Institute, , Iran (Islamic Republic of)

Abstract: For space weather phenomenon that is searched always,in the paper ,solar activity effects on power system are considered.According research,solar plasma can have destructive effect on power system. such as saturation of the transformer core,extra harmonic that can [switch out of service such quebec blackout of march 13,1989 witch left the whole province without power for over 9 hours].also there are major problems in restoring power after grid collapse such as cold load pick-up,no spare transformer. The solar wind driven magnetosphere is a complex dynamical system with highly nonlinear and chaotic behavior. A large number of studies have been carried out to provide appropriate dynamical models of magnetosphere, and to predict various geomagnetic indices, e.g. Dst storm time index and AE auroral electrojet index. But the most popular indicator of geomagnetic disturbances, the Kp index, which is used mainly in warning and alert systems for power system, has not been considered as much. Kp is used the same as alarm in 5 level, Kp =9,8,7,6 and 5. Kp is predicted and compared with mixture of MLP - experts this method can work similar an alarm intelligent system for power system.
FUZZY INTERACTIVE GOAL PROGRAMMING METHOD FOR SUM OF LINEAR FRACTIONAL MULTI-OBJECTIVE PROGRAMMING PROBLEMS

Pitam Singh, Motilal Nehru National Institute of Technology Allahabad, Mathematics, India

Abstract: This paper is concerned with an efficient algorithm for solving the multi-objective program of sum of linear fractional functions whose constraints are linear. The algorithm proposed here for the solution of sum linear ratios multi-objective programming (SOLR-MOP)is integrate the merits of three approaches , (i) fuzzy approach, (ii) fuzzy goal programming, (iii) Interactive programming. Each membership function of fuzzy objective is approximated into linear function by using first order Taylor theorem about the vertex of the feasible region where the objective function has maximum value. Then the resulted approximated linearized membership function may be used for the formulation of interactive fuzzy goal programming.The efficiency of the method is measured by numerical a example.
Some More Solutions of Burgers’ Equation

Mukesh Kumar, MNNIT Allahabad, Mathematics, India

Abstract: In the present study, one-dimensional Burgers' equation has been studied. An attempt has been made to search Lie symmetries and construction of exact solutions of viscous Burgers' equation through Lie group properties. The symmetry generators are used for constructing Lie group of point symmetries with commuting infinitesimal operators which lead the governing partial differential equation to ordinary differential equation. To the best of author’s knowledge, exact solutions of Burgers' equation obtained in terms of Bessel functions are appearing very first time in the existing literature. Effect of various parameters through graph is shown and discussed physically.
Symbolic computations by the Wick's theorem.

Igor V Beloussov, Institute of Applied Physics, Academy of Sciences of Moldova, Theoretical Physics, Moldova, Republic of

Abstract: The new formulation of Wick's theorem that allows one to present the vacuum or thermal averages of the chronological product of an arbitrary number of field operators as a determinant (permanent) of the matrix is proposed. Each element of the matrix is the average of the chronological product of only two operators. This formulation is extremely convenient for practical calculations in quantum field theory and statistical physics by the methods of symbolic mathematics using computers.
Asymptotic solution of natural convection in a uniformly Joule-heating shallow cavity

xiaohui zhang, Soochow University, , China

Abstract: The steady laminar two-dimensional Joule heating natural convection is investigated using asymptotical analysis, the fluid is in a rectangular cavity, the direct current contributes heat for heating the process medium by a pair of plate electrodes, the top wall is cooled with atmosphere and all the other walls are kept thermally insulated. The asymptotic solution is obtained in the core region in the limit as the aspect ratio, which is defined as the ratio of the vertical dimension of cavity to the horizontal dimension of cavity, goes to zero. The numerical experiments are also carried out to compare with the asymptotic solution of the steady two-dimensional Joule heating convection. The asymptotic results indicate that the expressions of velocity and temperature fields in the core region are valid in the limit of the small aspect ratio.
Gravitational radiation as radiation same level of electromagnetic and his generation of pulsed high-current discharge

Fisenko, Rusthermosynthesis JSC, , Russian Federation

Abstract: The notion of gravitational radiation as a radiation of the same level as the electromagnetic radiation is based on theoretically proved and experimentally confirmed fact of existence of stationary states of an electron in its gravitational field characterized by the gravitational constant K = 10^42G (G is the Newtonian gravitational constant) and unrecoverable space-time curvature Λ. This paper gives an overview of the authors' works [1, 2, 3, 4], which set out the relevant results. Additionally, data is provided on the broadening of the spectra characteristic radiation. The data show that this broadening can be explained only by the presence of excited states of electrons in their gravitational field. What is more, the interpretation of the new line of X-ray emission spectrum according to the results of observation of MOS-camera of XMM-Newton observatory is of interest. The given work contributes into further elaboration of the findings considering their application to dense high-temperature plasma of multiple-charge ions. This is due to quantitative character of electron gravitational radiation spectrum such that amplification of gravitational radiation may take place only in multiple-charge ion high-temperature plasma.
The origin of self-focusing effect in terahertz quantum cascade lasers

Jian Wang, Beijing Jiaotong University, Department of Physics, China

Yanfang Li, Institute of Applied Physics and Computational Mathematics, , China

Ning Yang, Institute of Applied Physics and Computational Mathematics, , China

Abstract: The terahertz quantum cascade lasers (THz-QCLs) are the compact and coherent terahertz light source based on the inter-subband transition and resonant tunneling of carriers in semiconductor superlattice. In the recent studies on tapered THz-QCLs, it was found that the self-focusing effect in the active region of the devices may cause the abnormal increase of the far-field divergence of the laser beam. By simulating the propagation of optical model in QCL waveguide and considering both the nonlinearity effect and thermal accumulation in the active region, we demonstrate that the refractive index change caused by the third-order nonlinearity of multi-quantum-wells in active region is the key reason for the self-focusing in THz-QCLs. This result indicates that the nonlinear effect has great impact on the beam quality of QCLs which must be carefully considered in applications of THz-QCLs, such as the TH- imaging systems.
A simple model of hysteresis behavior using spreadsheet analysis

Andrea Ehrmann, Niederrhein University of Applied Sciences, Faculty of Textile and Clothing Technology, Germany

Abstract: Hysteresis loops occur in many scientific and technical problems, especially as field dependent magnetization of ferromagnetic materials, but also as stress-strain-curves of materials measured by tensile tests including thermal effects, liquid-solid phase transitions, in cell biology or economics. While several mathematical models exist which aim to calculate hysteresis energies and other parameters, here we offer a simple model for a general hysteretic system, showing different hysteresis loops depending on the defined parameters. The calculation which is based on basic spreadsheet analysis plus an easy macro code can be used by students to understand how these systems work and how the parameters influence the reactions of the system on an external field. Importantly, in the step-by-step mode, each change of the system state, compared to the last step, becomes visible. The simple program can be developed further by several changes and additions, enabling the building of a tool which is capable of answering real physical questions in the broad field of magnetism as well as in other scientific areas, in which similar hysteresis loops occur.
Anatomy of Demagnetizing and Exchange Fields in Magnetic Nano-Dots Influenced by 3D Shape Modifications

Tomasz Blachowicz, Silesian University of Technology, , Poland

Andrea Ehrmann, Niederrhein University of Applied Sciences, Faculty of Textile and Clothing Technology, Germany

Abstract: Hysteresis loops of 3D ferromagnetic permalloy nano-half-balls (dots) with 100 nm base diameter have been examined by means of LLG micromagnetic simulations and finite element methods. Tests were carried out with two orthogonal directions of the externally applied field at 10 kA/(m.ns) field sweeping speed. The comparison of samples with different 3D modifications at the sub-10nm scale, accessible by nowadays lithographic techniques, enables conclusions about different mechanisms of competition between demagnetizing and exchange fields. Design paradigms provided here can be applied, e.g., in bit-patterned media used as novel magnetic storage systems.
Ideal Fluids, the Quark Gluon Plasma, and Hadronic Gases

Dr. Nasser S Demir, Kuwait University, Physics, Kuwait

Abstract: Ultrarelativistic heavy ion collisions at the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC) are believed to have created a state of matter known as the Quark Gluon Plasma (QGP), where quarks are thought to be deconfined in a "quark soup." The QGP thought to have been produced at RHIC and LHC has properties resembling those of an ideal fluid. As such, significant interest arose in quantifying the shear viscosity coefficient and the shear viscosity to entropy density ratio of the QGP. A conjecture on the lower bound of the shear viscosity to entropy density ratio of the "most perfect fluid" is that its minimum value should be $\frac{\hbar}{4 \pi k_B}$. However, in order to quantify the shear viscosity of the QGP, it is necessary to quantify the shear viscosity of the hadronic phase of a heavy ion reaction. As the QGP cools and decays, a hadronic gas is formed, which is assumed to be highly viscous. Several calculations of the shear viscosity exist for hadronic systems, but a systematic comparison between two disparate methods is necessary for validation and for testing the limits of any method involved. A systematic comparison between two methods (the Green-Kubo and Chapmann-Enskogg methods) is performed for two sets of hadronic systems. One system involves a system of chiral pions interacting with an energy dependent cross section and the other system involves a pion rho mixture. Differences are highlighted between the results.
Persistent Dirac fermion state on Si surface

Kehui Wu, Institute of Physics, Chinese Academy of Sciences, , China

Abstract: Recently, silicene, a single sheet of Si atoms arranged in honeycomb lattice with sp2 bonding, has been proposed and successfully fabricated on Ag(111) and other substrates in ultrahigh vacuum. The existence of Dirac fermion in silicene on Ag(111) surface with (√3×√3)R30° superstructure has been proven by the observation of linear energy-momentum dispersion and quasiparticle chirality by scanning tunneling microscopy (STM) and spectroscopy (STS). In addition to monolayer silicene sheet, we reported the existence of “multilayer silicene” film on Ag(111), comparable to multilayer graphene. In this talk we will present our new results on silicene, mainly concerning the detailed features of the electronic states, and electronic states on multilayer silicene film. For silicene film with increasing thickness above 30 monolayers (ML), the film always exhibits a (√3×√3)R30° honeycomb superstructure on the surface, which has never been observed on bulk Si(111) surface. More interestingly, we observed persistent Dirac Fermion state on the surface, independent on the film thickness. The origination of this Dirac fermion state is discussed
Study of basic structural, sorption and diffusion properties of novel microporous materials based on a combination of molecular simulation methods

Stylianos Karozis, National Center for Scientific Research Demokritos, Environmental Research Laboratory, Greece

Georgia Charalambopoulou, National Center for Scientific Research Demokritos, Environmental Research Laboratory, Greece

Nikolaos Papadimitriou, National Center for Scientific Research Demokritos, Environmental Research Laboratory, Greece

Theodore Steriotis, National Center for Scientific Research Demokritos, Institute of Nanoscience and Nanotechnology, Greece

Michael Kainourgiakis, National Center for Scientific Research Demokritos, Environmental Research Laboratory, Greece

Athanasios Stubos, National Center for Scientific Research Demokritos, Environmental Research Laboratory, Greece

Abstract: A new class of microporous materials with extremely interesting properties for a great number of applications is that of Metal Organic Frameworks (MOFs). MOFS are among others extensively investigated for gas and liquid separations and they are typically constructed by connecting metal clusters with organic linkers resulting in crystalline porous materials. In this work we used a combination of stochastic and deterministic molecular simulation techniques, in order to examine structural features as well as thermodynamic and dynamic properties in a MOF/gas system. Focus was placed in well-established MOF structures such as IRMOF-1 and UiO-66(Zr) and gases of technological relevance such as N2, CH4 and CO2. For each MOF/gas system, Monte Carlo simulations were performed in order to calculate e.g. the specific surface area, the percentage of loading, gas adsorption isotherms at various temperatures, etc. In a further step, molecular dynamics simulations were performed in order to calculate the respective self-diffusion coefficient of the gas molecules and examine the mechanism of selective separation due to the atomistic interactions between the the gas molecules and the MOF framework. The simulations were carried out using the parameters of UFF forcefield for a rigid MOF structure, while specialized parameters were taken into account for each gas. All forcefields used in this work, were parameterized according to the Lennard-Jones potential equation. The obtained results show that the combination of Monte Carlo and MD techniques can offer a valuable tool for the study of microporous materials such as MOFs. References 1. Yang, Q., Wiersum, A. D., Jobic, H., Guillerm, V., Serre, C., Llewellyn, P. L., Maurin, G. (2011). The Journal of Physical Chemistry C, 115(28), 13768–13774. 2. Allen, M. P., Tildesley, D. J., Banavar, J. R. (1989). Physics Today, 42(3), 105. 3. Frenkel, D., Smit, B., Ratner, M. a. (1997). Physics Today (Vol. 50, pp. 1–628). 4. Gotzias, A., Heiberg-Andersen, H., Kainourgiakis, M., Steriotis, T. (2010). Applied Surface Science, 256(17), 5226–5231.
Passivity-based control of discrete-time SIS epidemics in complex networks

Luis Alarcon-Ramos, Universidad Autonoma Metropolitana - Cuajimalpa, Applied Mathematics, Mexico

Roberto Bernal-Jaquez, Universidad Autonoma Metropolitana - Cuajimalpa, Matematicas Aplicadas y Sistemas, Mexico

Alexander Schaum, Christian-Albrechts-Universität zu Kiel, Institute of Electrical and Information Engineering, , Germany

Carlos Rodriguez-Lucatero, Universidad Autonoma Metropolitana - Cuajimalpa, Tecnologias de la Informacion, Mexico

Abstract: In this paper, we investigate and analyze the complex dynamics of an epidemic model, in the light of passivity properties for feedback control design. For this purpose, a framework of discrete time Markov process dynamical systems is employed, to propose a control mechanism that allows to bring the system to the extinction state. Considering individual controls at single nodes with relative degree one, an approach is presented to identify the nodes to be controlled in the network, based on the property of feedback equivalence to a passive system. Therefore, taking the set of controlled nodes as degree of freedom, sufficient conditions are derived for an asymptotically stable associated zero dynamics. This implies that it is not necessary to control all nodes, but only a minimal set of nodes for which the associated zero dynamics are asymptotically stable, and the complete network dynamics become passiviable via state-feedback control. Simulation results are presented for large free-scale and regular networks, that corroborate our theoretical findings.
Monte Carlo studies of clathrate hydrates for applications that involve energy gases

Nikolaos Papadimitriou, National Center for Scientific Research Demokritos, Environmental Research Laboratory, Greece

Ioannis Tsimpanogiannis, National Center for Scientific Research Demokritos, Environmental Research Laboratory, Greece

Ioannis Economou, Texas A&M University at Qatar, Chemical Engineering Program, Qatar

Athanasios Stubos, National Center for Scientific Research Demokritos, Environmental Research Laboratory, Greece

Abstract: Clathrate hydrates are ice-like crystalline materials whose crystal lattice contains cavities that can trap gas molecules. Recently, they have attracted strong research interest as materials with potential use in applications that involve the storage, transportation, or separation of energy gases. The present work was motivated by two applications in this field: storage of H2, and CH4/CO2 separation. The concept of our work is to use Grand Canonical Monte Carlo (GCMC) simulations to calculate the number of gas molecules that can be trapped in every cavity of the hydrate (cavity occupancy). In this approach, the gas content of the hydrate at equilibrium is calculated as the result of an adsorption process where the rigid hydrate structure is the adsorbent. The simulations are performed over a wide range of conditions (temperature, pressure, gas mixture composition) and all of the most common hydrate structures (sI, sII, sH) are studied. All simulations were carried out with the MCCCS Towhee code. In the case of H2, the knowledge of cavity occupancies allows the estimation of the amount of gas that can be stored in the hydrate at specified conditions and the evaluation of the hydrogen-storage capacity of each hydrate structure [1]. For reasons of validation, several water models (e.g. SPC/E, TIP4P/Ice, TIP5P) are used along with various sets of interaction parameters for the H2 molecule. The effect of the lattice constant on the H2 content of the hydrate is also studied. H2 is one of the few gases that present the effect of multiple occupancy (i.e. more than one molecules in the same cavity) [2] and this effect is extensively studied. In the case of CH4/CO2 mixtures, the cavity occupancies for each of the gases determine the selectivity of the hydrate for the separation of this mixture. CH4 fills both the small and large cavities of the sI hydrate while CO2 is assumed to fill only the large ones. This different behavior between the two gases is an extra challenge from a computational point of view. To investigate the CH4/CO2 system, first we study the pure gases [3] and then we proceed to binary mixtures of various compositions. References: 1. N. I. Papadimitriou, I. N. Tsimpanogiannis, A. K. Stubos, Colloids. Surf. A 357:67-73 (2010). 2. N. I. Papadimitriou, I. N. Tsimpanogiannis, A. Th. Papapioannou, A. K. Stubos, J. Phys. Chem. C 112:10294–10302 (2008). 3. M. Lasich, A. H. Mohammadi, K. Bolton, J. Vrabec, D. Ramjugernath, Fluid Phase Equilib. 369:47-54 (2014).
Influence of Mobility Models in Precision Spray Aided by Wireless Sensor Networks

Leandro Bertini Lara Gonçalves, Universidade Estadual Paulista "Júlio de Mesquita Filho", , Brazil

Fausto Costa, ICMC-USP, , Brazil

Leandro Alves Neves, São Paulo State University (UNESP), Department of Computer Science and Statistics - DCCE, Brazil

Geraldo Francisco Donega Zafalon, Sao Paulo State University - UNESP/SJRP, Computer Science and Statistics - DCCE, Brazil

Jó Ueyama, ICMC-USP, , Brazil

Carlos Montez, Universidade Federal de Santa Catarina - UFSC, , Brazil

Alex Sandro Pinto, Universidade Federal de Santa Catarina, Câmpus de Blumenau, Brazil

Abstract: Applications of agricultural inputs using Unmanned Aerial Vehicles (UAVs) aided by Wireless Sensor Networks (WSN) is an approach related to the spray problem in precision agriculture. The efficiency of this approach depends of the correct communication between UAV and WSN. This communication might be affected by the method the UAV uses the network. Thus, in this work we perform comparisons among classical mobility models as Random Walk, Random Waypoint, Random Direction, Manhattan Grid, and we analyze how these models act in the the communication performance between UAV and WSN using the IEEE 802.15.4 protocol for random and grid networks. The tests were performed using the OMNeT++ simulator with MiXiM package and BonnMotion for the generation of mobility scenarios. The mobility models were set to be the same conditions for comparisons. In this study were collected and analized in each test: the amount of received frames by UAV; the amount of sent frames; the amount of backoffs from WSN; and the efficiency of network communication. The obtained results show that the network has similar performance both using random and grid implementation. The efficiency decreases as the density of nodes increases, mainly due to the concurrency by the transmission medium and saturation of the received message threshold of the UAV for densities above 3.67 X 10-4 nodes/m2. In the results it possible to check that Random Direction and Manhattan Grid had both similar performance when analyzed the communication efficiency of the mobility models and better results when compared with other models.
Frequency comb generation for wave transmission through the nonlinear dimer

Sadreev Almas, L.V. Kirensky Institute of Physics, Laboratory of theory of nonlinear processes, Russian Federation

Konstantin Pichugin, L.V. Kirensky Institute of Physics, , Russian Federation

Abstract: We study dynamical response of the nonlinear dimer relative to monochromatic wave injected via the waveguide. We show existence of a domain in space of frequency and injected amplitude where the stationary solutions of the temporal equations do not exist. We present time dependent solutions which show that scattering waves carry multiple harmonics with frequencies spaced equidistantly.
From single- to multi-layer silicene

Patrick Vogt, Technische Universität Berlin, Institut für Festkörperphysik, Germany

Abstract: Silicene, a novel silicon allotrope, which does not exist in nature, was theoretically conjectured a few years ago [1] as a stand-alone material. However, for the synthesis of silicene a substrate material is essential that prevents the formation of bulk silicon and, at the same time, does not react with the Si-atoms. Recently, silicene mono-layers could be synthesized on different substrates such as Ag(111), Ir(111) or ZrB2 [2]. The successful preparation of single layer silicene rises the question if the multi-layer silicene structure can also be synthesized which might be understood as the Si analogue to graphite. In this talk the epitaxial formation of single layer silicene on a Ag(111) substrate will be briefly summarized. Based on these results the formation of multilayer silicene will be discussed that forms upon further deposition of Si onto the first silicene layer [3]. Atomic structure, stacking order, electronic properties and growth aspects are discussed to demonstrate the differences of theses silicene multi-layer structure to bulk Si(111). The formation of multi-layer silicene could open new possibilities for the technological applicability of silicene. 1) G. G. Guzmán-Verri, L. C. Lew Yan Voon, Phys. Rev. B 76, 075131 (2007); S. Lebègue and O. Eriksson, Phys. Rev. B, 79 115409 (2009); S. Cahangirov et al., Phys. Rev. Lett. 102, 236804 (2009). 2) P. Vogt et al., Phys. Rev. Lett. 108, 55501 (2012); C.-L. Lin et al., Appl. Phys. Exp. 5, 045802 (2012); B. Feng et al., Nano Lett. 11, 3507 (2012); A. Fleurence et al., Phys. Rev. Lett. 108, 245501 (2012); L. Meng et al., Nano Lett. 13, 685 (2013). 3) P. Vogt et al., Appl. Phys. Lett. 104, 021602(2014), A. Resta et al. , Sci. Rep. 3, 2399 (2013), De Padova et al., Appl. Phys. Lett. 102, 163106 (2013).
Universal quasi-equilibrium state of self-gravitating systems not depending on dimensions

Tohru Tashiro, Ochanomizu University, Department of Physics, Japan

Abstract: Universal quasi-equilibrium state not depending on dimensions has been observed in the universe. Globular clusters which consist of about hundreds of thousands of stars are well-known to have a spherically symmetric number density. From a survey of the Herschel space observatory, it has been unveiled that there are about 30 filamentary structures of molecular clouds in IC 5146, and they have a cylindrically symmetric density profile in real space [1]. In both cases, a major factor constructing these structures is the gravity, which means that we can treat the systems as self-gravitating systems: Owing to the symmetries, filamentary structures of molecular clouds and globular clusters can be treated as the two and three dimensional self-gravitating system, respectively. The density profiles of these self-gravitating systems are constant around the center of the system and decrease in a power law at large radius. This is the universal quasi-equilibrium state. Until now, no one can explain the physics behind the universality. In this presentation, we will show that the same density profile as the observations are obtained by N-body simulations of self-gravitating system. Next, we will improve the dimension of our model, which can describe the density profile of three-dimensional self-gravitating system [2], and then we will exhibit that the universal distributions can be derived uniformly by the improved model. [1] D. Arzoumanian, et al. A&A 529 (2011) L6. [2] T. Tashiro and T. Tatekawa, J. Phys. Soc. Jpn. 79 (2010) 063001. Numerical Simulations of Physical and Engineering Processes, Jan Awrejcewicz (Ed.) (INTECH, Croatia) (2011) 301-318.
Shubnikov state in a Technetium film

JESUS GONZALEZ, UNIVERSIDAD DEL MAGDALENA, DEPARTAMENTO DE FISICA, Colombia

Jose Jose Barba Ortega, Universidad Nacional de Colombia, Physics, Colombia

Abstract: We numerically investigate the flux quantum configurations and some thermodynamical properties of a Technetium film by using the link variables technique for one shape of circular geometry. The technetium exhibit superconductivity properties indicated by to an extrapolated critical magnetic field value of Hc (T=0)=1410 Oe , and a Ginzburg-Landau parameter of k=0.92, being the magnetic behavior of this material characteristic of a type-II superconductor with a weak-coupling superconductor of the BCS type. The studied sample is a circular sector with angular width surrounded by a dielectric material and submitted to external magnetic field applied perpendicular to its plane. We evaluate the magnetic moment density, Shubnikov state and thermodynamical fields as a function of the external magnetic field.
New trace theorems for neutronic function spaces

Boulanouar, LMCM-RSA, , France

Abstract: Let $X\subset\R^n$ ($n\ge1$) be an open subset with $C^1$ boundary $\partial X$ and let $d\mu$ be a Radon measure on $\R^n$ ($n\ge1$) whose support is $V$. Let $\Gamma_\mp=\left\{(x,v)\in\partial X\times V \; : \; \mp v\cdot n(x)>0\right\}$ where, $n(x)$ is the outer unit normal at $x\in\partial X$. For each $(x,v)\in X\times V$, we set $ t(x,v)=\inf\{t,\;\; x-tv\not \in X\} $ and $\theta(x,v)=t(x,v)+t(x,-v). $ Similarly, if $(x,v)\in \Gamma_+$ we set $ \tau(x,v)=\inf\{t,\;\; x-tv\not \in X\}. $ Let $$ \widetilde{W}^p(X\times V) =\aco{ \varphi\in L^p(X\times V),\;\; v\cdot\nabla_x\varphi\in L^p(X\times V) } $$ whose norm is $ \norm{\varphi}_{\widetilde{W}^p(X\times V)}= \left[\norm{\varphi}_p^p+\norm{v\cdot\nabla_x\varphi}_p^p \right]^{\frac{1}{p}} $ and let $L^p(\Gamma_\pm, d\widetilde{\xi}_\pm)$ be the weighted trace spaces whose norm is \begin{equation*}\label{} \norm{\varphi}_{L^p(\Gamma_\pm, d\widetilde{\xi}_\pm)}= \left[\int_{\Gamma_{\pm}}\abs{\varphi(x,v)}^pd\widetilde{\xi}_\pm\right]^{\frac{1}{p}} \quad \text{where,}\quad d\widetilde{\xi}_\pm=\min\{\tau(x,\pm v), 1\} \abs{v\cdot n(x)}d\gamma d\mu(v). \end{equation*} Finally, let $ \gamma_\mp\, :\; \varphi \longrightarrow \varphi\mid_{\Gamma_\mp} $ be the trace mappings whose continuity is given by \begin{Lem}[\cite{Cessenat1}\cite{Cessenat2}] \label{CES} Both trace mappings $ \gamma_\mp : \widetilde{W}^p(X\times V) \longrightarrow L^p(\Gamma\!_\mp, d\widetilde{\xi}_\mp) $ are continuous. \end{Lem} \noindent It is well known that Lemma~\ref{CES} is not suitable in practice. Indeed, let $\varphi\in \widetilde{W}^1(X\times V)$ such that $\gamma_+\varphi$ or $\gamma_-\varphi$ exists. Green's formula yields that $$ \int_{X\times V} v\cdot\nabla_x\abs{\varphi}dxd\mu(v) =\int_{\Gamma_+}\abs{\gamma_+\varphi(x,v)}d\xi -\int_{\Gamma_-}\abs{\gamma_-\varphi(x,v)}d\xi. $$ One obviously sees that $L^1(\Gamma_\pm, d\xi)$ are natural trace spaces and therefore Lemma~\ref{CES} can not be used because of $d\xi\not=d\widetilde{\xi}$. For instance, let $X\times V=(0,1)\times(0,\infty)$ for which $\Gamma_\pm=(0,\infty)$ and let $\varphi(x,v)=\frac{1}{v^2+1}$ be in $\widetilde{W}^p(X\times V)$. We obviously have $\gamma_\pm\varphi=\varphi\in L^p(\Gamma_\pm, d\widetilde{\xi}_\pm)$ and $\gamma_\pm\varphi\not\in L^p(\Gamma_\pm)$. \par\noindent It is therefore natural to raise the following question : \emph{Does there exist a suitable space $W^p(X\times V)$ $(p \ge 1)$ on which the trace mappings $\gamma_\pm$ are continuous into their natural trace spaces $L^p(\Gamma_\pm)$ ?} A positive answer is given by \begin{The}[\cite{Boulanouar}]\label{THE} Let $W^p(X\times V)$ $(p \ge 1)$ be the following Banach space \begin{equation*} W^p(X\times V) = \aco{\varphi\in L^p(X\times V), v\cdot\nabla_x\varphi\in L^p(X\times V), \theta^{-\frac{1}{p}}\varphi\in L^p(X\times V)} \end{equation*} whose norm is $$ \norm{\varphi}_{W^p(X\times V)}= \left[(p-1)\norm{\varphi}_p^p+\norm{v\cdot\nabla_x\varphi}_p^p +\norm{\theta^{-\frac{1}{p}}\varphi}_p^p\right]^{\frac{1}{p}}. $$ Then, the trace mappings $ \gamma_+\, :\; W^p(X\times V) \longrightarrow L^p(\Gamma_+) $ and $ \gamma_-\, :\; W^p(X\times V) \longrightarrow L^p(\Gamma_-) $ are continuous. Furthermore $ \norm{\gamma_+\varphi}_{L^p(\Gamma_+)} \le \norm{\varphi}_{W^p(X\times V)} $ and $ \norm{\gamma_-\varphi}_{L^p(\Gamma_-)} \le\norm{\varphi}_{W^p(X\times V)}. $ \end{The} \begin{thebibliography}{99} \bibitem{Boulanouar} \textsc{M. Boulanouar.} \textsl{New trace theorem for neutronic function spaces.} Trans. Theor. Stat. Phys., 38, 228--242, 2009. \bibitem{Cessenat1} M. Cessenat. \textsl{Th\'eor\`emes de trace $L^p$ pour des espaces de fonctions de la neutronique}, C. R. Acad. Sc. Paris, t.299, pp. 831--834, 1984. \bibitem{Cessenat2} M. Cessenat. \textsl{Th\'eor\`emes de trace pour des espaces de fonctions de la neutronique}, C. R. Acad. Sc. Paris. t.300, pp. 89--92, 1985. \end{thebibliography}
Generation of thrust and lift with airfoils in plunging and pitching motion

Manuel Moriche, Universidad Carlos III de Madrid, Bioengineering and Aerospace Department, Spain

Abstract: The aerodynamics of flapping wings has been the focus of attention for many researchers for the last decades. Classical unsteady models of Wagner and Theodorsen have been widely used, but they become inadequate at high amplitude/frequency motions and very low Reynolds number, where the flow is massively separated. This is precisely the regime where insects and small birds fly. Improving our understanding of this regime is a key factor to unlock the standardized design of bio-inspired Micro Air Vehicles (MAV), able to achieve high maneuverability and efficiency in their flapping flight. In this talk we present fully resolved Direct Numerical Simulations (DNS) of flow over moving airfoils (2D). The solver used is an in-house code that implements the Immersed Boundary method of Uhlmann1 . A combination of sinusoidal plunging and pitching motions is imposed in rigid airfoils. Starting from a thrust producing case (Reduced frequency, k = 1.41. Plunging amplitude h/c = 1. Mean pitching angle theta_m = 0º. Pitching amplitude theta_0 = 30◦ . Phase shift phi = 90◦ ), we increase the mean pitching angle (in order to produce lift) and vary the phase shift between pitching and plunging (to optimize the direction and magnitude of the net force on the airfoil). These cases will be discussed in terms of their lift coefficient, thrust coefficient and power efficiency.
Bistability in self-activating genes regulated by non-coding RNAs

Jesus Miro-Bueno, Research Institute of the IT4Innovations Centre of Excellence, Faculty of Philosophy and Science, Silesian University in Opava, , Czech Republic

Abstract: Non-coding RNA molecules are able to regulate gene expression and play an essential role in cells. On the other hand, bistability is an important behaviour of genetic networks. Here, we propose and study an ODE model in order to show how non-coding RNA can produce bistability in a simple way. The model comprises a single gene with positive feedback that is repressed by non-coding RNA molecules. We show how the values of all the reaction rates involved in the model are able to control the transitions between the high and low states. This new model can be interesting to clarify the role of non-coding RNA molecules in genetic networks. As well, these results can be interesting in synthetic biology for developing new genetic memories and biomolecular devices based on non-coding RNAs.
An efficient implicit direct forcing immersed boundary method for incompressible flows

shanggui, Univiersité de Technologie de Compiègne, , France

Abstract: We present a novel efficient implicit direct forcing immersed boundary method for incompressible flows with complex boundaries, based on the work of [M. Uhlmann, An immersed boundary method with direct forcing for the simulation of particulate flows, J. Comput. Phys., 209(2005) 448-476]. In Uhlmann's work, the calculation is performed on the Eulerian grid regardless the immersed object, with a fictitious force to mimic the presence of the physical boundaries. It is also known that Uhlmann's explicit method fails to accurately impose the non-slip boundary condition on the immersed interface. To improve the accuracy, iteration of the whole system is required, which could be extremely time-consuming. In the present work, an implicit treatment of the artificial force is preferred, but with an effective way of system iteration. The Navier-Stokes equation is resolved with the rotational incremental pressure-correction projection method of [J.L. Guermond and J. Shen, An overview of projection methods for incompressible flows, Comput. Methods Appl. Mech. Engrg., 195(2006) 6011-6045], thus a higher precision is reserved. Several numerical simulations are performed to verify the proposed method, which are in good agreement with those in the literature.
Evaluation of connectedness between the University courses of Physics and Chemistry basing on the graph model of inter-subject links

Tatiana Gnitetskaya, Far Eastern Federal University, School of natural sciences, Russian Federation

Elena Ivanova, Far Eastern Federal University, , Russian Federation

Abstract: An application of the graph model of inter-subject links to University courses of Physics and Chemistry is presented in this article. A part of inter-subject space with directions of inter-subject links from Physics to Chemistry in the group of physical concepts has been shown. The graph model of inter-subject links includes quantitative indicators. Its numerical values are given in the article. The degree of connectedness between the data of Physics and Chemistry courses is discussed for the courses considered. The effect of the courses placement within a curriculum on the value of their connectedness is shown. The placement of courses within a curriculum can provide the study of the courses at the same time or consecutive study, when one course precedes another.
SOLITONIC EFFECTS IN SUPERCONTINNUM GENERATION IN HIGHLY NONLINEAR FIBERS

Mário Ferreira, University of Aveiro, Physics, Portugal

Abstract: When ultrashort pulses with large enough power are launched into highly nonlinear fibers, soliton fission gives origin to multiple fundamental solitons of different widths and peak powers. Among the host of soliton related effects contributing to supercontinuum generation, there are two which become particularly important: the soliton self-frequency shift and the emission of dispersive radiation in the normal dispersion region. The peculiar dispersive characteristics of highly nonlinear fibers play a key role in these circumstances. If long duration pulses or a continuous wave are used to pump the supercontinuum, the modulation instability becomes the main initial mechanism, breaking the pump wave into multiple fundamental solitons. In this case, both the soliton self-frequency shift and inelastic collisions among such solitons play an important role. In this paper we discuss in detail the solitonic effects in the supercontinuum generation process for different pumping conditions.
COMPTON OPERATOR IN QUANTUM ELECTRODYNAMICS

Hector Luna, Universidad Autonoma Metropolitana-Unidad Azcapotzalco, Ciencias Basicas, Mexico

Luz María Cruz, Universidad Autónoma Metropolitana-Unidad Azcapotzalco, Ciencias Básicas, Mexico

Abstract: In the frame in the quantum electrodynamics exist four basic operators; the electron self-energy , vacuum polarization , vertex correction , and the Compton operator, denoted by C. The first three operators are very important by its relation with renormalized and Ward identity. However, the Compton operator has equal importance, but without divergence, and little attention has been given it. We have calculated the Compton operator and obtained the closed expression for it in the frame of dimensionally continuous integration and hypergeometric functions.
Representing Structure formation in the Early Universe as a result of non Linear Electrodynamics influencing scale factor size

Andrew Beckwith, Chongqing University department of physics( visitor), , China

Abstract: We find that having the scale factor close to zero due to a given magnetic field value in, an early universe magnetic field affects how we would interpret Mukhanov’s chapter on ‘self reproduction of the universe’ in in his reference “Physical foundations of cosmology” terms of production of inhomogeneity during inflation and its aftermath. The stronger an early universe magnetic field is, the greater the likelihood of production of about 20 new domains of size 1/ H, with H early universe Hubble’s constant, per Planck time interval in evolution. One final caveat to consider. What may happen is that the Camara (2004) density and Quintessential density (Corda et al.) are both simultaneously satisfied, which would put additional restrictions on the magnetic field which in turn affects structure formation. In time, once Eq.(16) of this paper is refined further, the author hopes that some of the issues raised by Kobayashi and Seto as to allowed inflation models may be addressed, once further refinement of these preliminary results commences
Numerical Investigation of Grain Coarsening and Coalescence Model

Aliki Muradova, Tecnical University of Crete, Mineral Resources Engineering, Greece

Dionisios Hristopulos, Technical University of Crete, Department of Mineral Resources Engineering, Greece

Abstract: A kinetic nonlinear model of mass transfer, grain coarsening and coales- cence with potential applications in sintering processes is considered. The model involves nonlinear differential equations that determine the transport of mass between grains. The rate of mass transfer is controlled by the acti- vation energy which depends on the degree of amorphization of the grains, leading to a nonlinear model of mass transfer and grain coarsening. The resulting dynamical system with random initial conditions (grain mass con- guration) is solved by means of the Runge-Kutta method. In order to incorporate coalescence of smaller grains with larger neighbors a computa- tional algorithm is adapted. An analysis of the two-grain system is carried out and the solution of the multi-grain system is studied. Numerical results are presented by examples.
Basic idea of Corbino-type single-electron transistor

Akira Suzuki, Tokyo University of Science, Physics, Japan

Abstract: We have formulated the transmission probability of an electron in a Corbino quantum disk by taking into account charging effect. The geometrical potential of the Corbino disk has a singularity at the centre of the disk. In order to avoid this singularity problem, we have to reformulate the Schroedinger equation in the Riemannian manifold. The Schroedinger equation describing the motion of the electron in the Corbino disk must be expressed by introducing a momentum operator reformed by the metric tensor. In order to obtain a Hermitian momentum operator, we must deform the Hilbert space by introducing a new wave function. This deformation leads to the extra potential term in the Schroedinger equation, which depends on the metric, i.e., the geometry of the disk. It should be noted that the charging energy of confining electrons in the Corbino disk should depend on the geometry of the disk. We discuss the quantum tunneling of an electron confined in the Corbino disk in order to investigate the effect of both geometrical potential and charging energy of confining electrons in the Corbino disk by using the Wentzel-Kramers-Brillouin (WKB) method. It is expected that the charging energy, which depends on the effective confining potential, plays an important role in the transmission probability. This suggests that the formulated transmission probability is applicable to the analysis of the single-electron transistor.
Mathematical modeling of a rigid circular membrane in a tri-material transversely isotropic full-space undergoing a prescribed displacement

Ladan Mohtati, School of Civil Engineering, College of Engineering, University of Tehran, , Iran (Islamic Republic of)

Mohammad Rahimian, School of Civil Engineering, College of Engineering, University of Tehran, , Iran, Islamic Republic Of

Morteza Eskandari-Ghadi, School of Civil Engineering, College of Engineering, University of Tehran, , Iran, Islamic Republic Of

Abstract: A horizontal layer between two different transversely isotropic half-spaces forms a tri-material full-space, which constitutes the domain for the boundary value problem involved in this paper. The axes of symmetries of all materials are assumed to be parallel to each other and normal to the interface of the middle layer and surrounding half-spaces. A mathematical formulation is presented to determine the response of a rigid circular membrane, which is laid down at an interface of the tri-material transversely isotropic full-space and is considered to be under a prescribed translation, which happens parallel to the plane of membrane. The governing equations are expressed in the cylindrical coordinate system, where the axis of the symmetry of the cylinder and the material are aligned. With the aid of a system of two scalar potential functions, the governing equations of motion can be uncoupled into two separated partial differential equations, which may be transformed to some ordinary differential equations by applying the Hankel integral transforms in the radial direction and Fourier series along the angular coordinate. After determining the unknown functions by imposing the relaxed boundary conditions, they are transformed to a set of four coupled integral equations, which are reduced to two coupled Fredholm-Volterra integral equations of the second kind, from which both displacement and the stress fields are computed. The proposed solutions are applied for a transversely isotropic half-space and the results match with the existing solutions. To confirm the accuracy of the numerical evaluation of the integrals involved, the numerical results are compared with the solutions exists for a transversely isotropic half-space. In order to investigate the degree of material anisotropy, some numerical evaluations are given for different combinations of transversely isotropic region. Final results show that the boundary conditions are completely satisfied and the verified numerical method leads to compatible solutions.
Quantum Toeplitz Matrix Appearing in Numerical Approximations of Quantum Integrals

S.M.Hashemiparast, K.N.Toosi University of Technology, Mathematics and Statistics, Iran (Islamic Republic of)

Abstract: Many complex systems in various area of science and technology can be described by supper statistics ,in model building situations the usual procedure is to select a model from a parametric family of distributions or generally the pathway models have been proposed which have connections with quantum integral and quantum fractional integral ,finally numerical approximations of quantum integral. In this paper we present a Quantum Toeplitz matrix for which the numerical q-calculation of the q- integrals based on specified nodes and weights are carried on with minimized error, in this q-calculation we consider the various properties of this Toeplitz matrix and the relations with the ordinary Toeplitz matrix, first the conditions for invetibility of this quantum Toeplitz matrix can be determined, then for having a unique solution, the conditions for the original system of equations (q=1 or ordinary Toeplitz matrix) is compared for the different values of q , so, some numerical examples are given for comparison with the exact solution and alternative numerical solution based on procedures using quantum Gauss -quantum Hermit quadrature rules, and also based on q-variation with iteration method , the related tables of approximations for all methods are presented .
Graph Model of Intradisciplinary Connections in Example of General Physics Course

Tatiana Gnitetskaya, Far Eastern Federal University, School of natural sciences, Russian Federation

Abstract: The model of an intradisciplinary connections was elaborated on the base of the theory of graphs. Every connection which appears in training content may be presented as oriented marked graphs. Each graph is a tree. In this paper we presented definition and model of intradisciplinary connections for example of physics course. The quantitative parameters of model are described in this paper. Quantitative method based on this model could be help to optimize a content of physics course. Furthermore using this model we can distinguish fundamental notions, laws and other elements of knowledge to separate group. This group is very important during the process of creating training course. Method of semantic structure attached to content of physics’ lections and physical problems was described.
Characterizing the non-stationary evolution of volume-prices evolution in the New York Stock Market

Paulo Rocha, Centro de Matemática e Aplicações Fundamentais, , Portugal

Frank Raischel, Instituto Dom Luiz, CGUL, University of Lisbon, 1749-016 Lisbon, Portugal, , Portugal

Pedro G. Lind, ForWind and Institute of Physics, University of Oldenburg, DE-26111 Oldenburg, Germany, , Portugal

Abstract: We introduce a framework for describing the stochastic evolution of the parameters defining volume-price distributions of the New York stock market. The volume-price data appears to follow a specific statistical pattern, other than the evolution of prices measured in similar studies. We argue that the inverse Gamma distribution fits well the volume-price evolution, with the two corresponding parameters varying in time. Assuming that the evolution of these parameters is governed by coupled Langevin equations, we derive the corresponding drift and diffusion coefficients, which then provide insight for understanding the mechanisms underlying the evolution of the stock market. The data analysed comprises volume-prices distributions extracted from yahoo available data with a sampling frequency of 10 minutes.
Multiple Time Series Ising Model for Financial Market Simulations

Tetsuya Takaishi, Hiroshima University of Economics, , Japan

Abstract: In this paper we propose an Ising model which simulates multiple financial time series. Our model introduces a global spin which couples to spins of other systems. Depending on the value of the global spin, correlations between time series will appear. Simulations from our model show that time series exhibit the volatility clustering that is often observed in real financial markets. We also find non-zero covariance of volatility time series. Thus our model can simulate stock markets where volatilities of stocks are mutually correlated.
Effects of Disorder on Critical Behavior of Generalized Conserved Lattice Gas

Meesoon Ha, Chosun University, Department of Physics Education, Korea, Republic of

Abstract: The conserved lattice gas model (CLG) is revisited in two-dimensional lattices with an effective temperature parameter, $p=exp(-1/T)$, namely the generalized CLG (GCLG). In particular, we focus on the universality class for $0 is suggested when $p=0$ due to oscillatory behaviors in the localized active phase. It is found that the latter one plays a good indicator even for finite $p$ values. Based on our extensive numerical results and intuitive arguments, we suggest a schematic phase diagram of the GCLG and the possible origin of glassy behaviors. Finally, we discuss the mean-field (MF) behaviors of the GCLG and its MF universality class, which is compared with numerical results in two different types of random networks: Erdos-Renyi and regular random networks, respectively.
Modification of Gaussian mixture models for data classification in high energy physics

Michal Stepanek, Czech Technical University, Faculty of Nuclear Sciences and Physical Engineering, Department of Mathematics, Czech Republic

Jiri Franc, Czech Technical University, Faculty of Nuclear Sciences and Physical Engineering, Department of Mathematics, Czech Republic

Vaclav Kus, Czech Technical University, Faculty of Nuclear Sciences and Physical Engineering, Department of Mathematics, Czech Republic

Abstract: In high energy physics, we deal with demanding task of signal separation from background. The Model Based Clustering method involves the estimation of distribution mixture parameters via the Expectation-Maximization algorithm in the training phase. Modifications of this algorithm such as weighting, missing data processing, and overtraining avoidance will be discussed. Due to the strong dependence of the algorithm on initialization, genetic optimization techniques such as the mutation of probabilities, the elitism, the parasitism, and the rank selection of individuals will be mentioned. According to extensive variability of this learning method, data pre-processing plays a significant role for the subsequent combination of final discriminants in order to improve signal separation efficiency. Effects of variable gaussianisation, decorrelation and the number of components of distribution mixtures on the quality of data classification will be presented. Moreover, the results of the top quark separation from the Tevatron collider will be compared with those of standard multivariate techniques in high energy physics. Results from this study has been used in the measurement of the inclusive top pair production cross section employing D0 Tevatron full RunII data ($9.7\textrm{ fb}^{-1}$).
Nonlinear wave propagation in PT-symmetric potentials

Konstantinos Makris, Princeton University, Electrical Engineering, United States

Abstract: One of the frontiers of complex photonics is the combination of optical gain and loss to create new synthetic systems and functionalities. In this context, the recently introduced notion of parity-time (PT) symmetry in optics, has attracted a lot of attention theoretically and experimentally. In this work, we will examine the optical propagation, soliton formation and instabilities of nonlinear waves in PT-symmetric media. In particular, we will investigate the existence and properties of stationary solutions of nonlinear Schrödinger equation (NLSE) in the presence of a non-hermitian complex potential. The application of the spectral renormalization method to the study of spatial solitons, as well as, their relation to modulation instability of plane waves will be presented.
Ab-initio study of the structural and electronic properties of cadmium telluride CdTe and its alloy cadmium zinc telluride Cd1-xZnxTe

Louiza Messaadia , Physics Laboratory at Guelma, University 8 Mai 1945 Guelma, Department of Materials Science, Algeria

Sacia Djeroud, Physics Laboratory at Guelma, University 8 Mai 1945 Guelma, Department of Materials Science, Algeria

Abstract: The scope of this investigation is to make a clear contrast between the structural and electronic properties of cadmium telluride CdTe and its alloy cadmium zinc telluride Cd 1-xZnxTe using first principles calculations based on density functional theory within the local density approximation (LDA). A supercell with 16 atoms has been considered in the calculations. Structural parameters and electronic band structures are shown to discuss the effects of the environment induced by Zn impurity on the electronic structure of zinc- blende CdTe. Our results are in good agreement with some theoretical studies.
Impact of vehicles on smoke spread dynamics in the case of fire in road tunnel

Lukas Valasek, Institute of Informatics, Slovak Academy of Sciences, , Slovakia (Slovak Republic)

Abstract: In this paper, the impact of vehicles in road tunnel on smoke spread in the case of fire is illustrated using the FDS (Fire Dynamics Simulator) system. FDS is a CFD-based fire field model capable to simulate fire in various environments capturing a big variety of physical processes related to fire. A set of simulations of fire in a 300 m long two-lane single directional road tunnel with longitudinal ventilation is described focusing on the impact of vehicles on the smoke spread dynamics in the tunnel.
Fluid simulations with atomistic resolution: multiscale model with account of nonlocal momentum transfer

Andrew, ITMO University, , Russian Federation

Abstract: Multiscale models are used widely in nanomaterial science because they are suitable for simulation of the processes, which typical scale is too large for direct simulation methods (like molecular dynamics) and too small for classical continual models. An elementary multiscale model includes a detailed and a rough models, which sometimes are called base and surrogate respectively. In nanomechanics generally and fluid simulation especially the molecular dynamics (MD) as a base model is commonly used. At the same time, quality of a multiscale approach in nanomechanics is determined by a surrogate model, which differs noticeable in various studies. Thus, multiscale model of strain mechanics properties of nanocomposite polymeric material will give only elastic response for the case when only elastic surrogate model is inside. Also is known that a fluid flow in nanosize channel can’t be correctly described by classical Navier-Stokes equation (NSE) and so the multiscale model with NSE continual surrogate model would be useless for this problem. It means that parameterization of momentum transfer processes in liquid by viscosity is insufficient and more complex model is necessary. This problem may be considered as two: the first is about appropriate surrogate model, and the second is about methods of calculation of its parameters by MD. Such method is known as well as physical meaning of the related parameters for a classical viscous and an elastic models, but it isn’t so for a novel surrogate models. Probably because of that phenomenological surrogate models are frequently used at the multiscale approaches. In this case, the physical meaning of the parameters is known since the phenomenological hypothesis of material properties has already included it. However, nothing can guarantees that this set of parameters is the best in the interesting approach. In this work an example of systematical surrogate model of fluid in thin nanosize channel is considered. The systematical derivation is based on method of Zwanzig projection operator and leads to nonlocal momentum transport. It is shown, that nonlocality is principal and shouldn’t be neglected in the nanoflow consideration. The set of parameters of nonlocal model of momentum transfer can’t be calculated directly and so special indirect multiscale coupling method is suggested. It is based on observation of fluctuations of momentum density in liquid by MD. We also consider some additional approximations that leads to classical NSE with slippage boundary conditions, well known for nanoflows. It should be noted, that initial model of nonlocal momentum transfer doesn’t require any boundary conditions at the walls of the channel at all. The only requirement is a native zero-velocity value at infinity. We believe that it is a considerable advantage and confirmation of propriety of suggested surrogate model. Besides that, a comparison with results of direct MD simulation of flows through carbon nanotube with various diameter is undertaken for verification of the multiscale model. The approaches, which was taken into account during surrogate model derivation turn out correct for diameters >10nm as well as obtained model.
A mathematical model and simulation results of plasma enhanced chemical vapour deposition of silicon nitride thin films

Konakov Stepan, St. Petersburg State Polytechnical University, , Russian Federation

Valeria Krzhizhanovskaya, ITMO University, St. Petersburg Polytechnic University, University of Amsterdam, , Russian Federation

Abstract: We developed a mathematical model of Plasma Enhanced Chemical Vapor Deposition (PECVD) of silicon nitride films from SiH4-NH3-N2-Ar mixture of source gases, an important application in modern materials science. Our multiphysics model describes fundamental physics phenomena in fluid dynamics, chemical physics, plasma physics and electrodynamics. The PECVD technology is inherently multiscale, from macroscale processes in the chemical reactor to atomic-scale surface chemistry. Our model is based on Navier-Stokes equations for a transient laminar flow of a compressible chemically reacting gas mixture, together with the mass transfer and energy balance equations, Poisson equation for electric potential, electrons and ions balance equations. The chemical model includes 24 species and 58 reactions (37 in the gas phase and 21 on the surface). A deposition model consists of three stages: (1) adsorption to the surface, (2) diffusion along the surface to the next reactant and (3) embedding of products into the substrate. A new model has been validated on experimental results obtained with the «Plasmalab System 100» in the Institute of Ion-Beam Physics and Materials Research of Helmholtz-Zentrum Dresden-Rossendorf. We present the mathematical model and simulation results investigating the influence of technological process parameters (flow rate, temperature, pressure, power) on silicon nitride film properties (growth rate, chemical composition and uniformity).
Modelling chemical vapour deposition of silicon dioxide in microreactors at atmospheric pressure

Konakov Stepan, St. Petersburg State Polytechnical University, , Russian Federation

Valeria Krzhizhanovskaya, ITMO University, St. Petersburg Polytechnic University, University of Amsterdam, , Russian Federation

Abstract: We present a multiphysics mathematical model and computer simulation results of silicon dioxide Chemical Vapor Deposition (CVD) from tetraethyl orthosilicate (TEOS) and oxygen mixture in a microreactor at atmospheric pressure. Microfluidics is a promising technology with numerous applications in chemical synthesis due to its high heat and mass transfer efficiency and well-controlled flow parameters. Experimental studies of CVD microreactor technology are slow and expensive. Analytical solution of the governing equations is impossible due to the complexity of intertwined non-linear physical and chemical processes. Computer simulation is the most effective tool for design and optimization of microreactors. Our computational fluid dynamics model employs mass, momentum and energy balance equations for a laminar transient flow of a chemically reacting gas mixture with low Reynolds number. Simulation results show the influence of microreactor configuration and process parameters on silicon dioxide deposition (growth rate, chemical composition, uniformity, and material properties). We simulated three microreactors with central channel of 5, 10, 20 micrometers diameter, varying gas flow rate in the range of 5-100 microliters per hour and temperature in the range of 300-800 C. For each microchannel diameter we found an optimal set of process parameters providing the best quality of deposited material. The model will be used for optimization of the microreactor configuration and technological parameters to facilitate the experimental stage of this research.
Periodic perturbation solution of a thin liquid film on the cylinder surface

Adel Mohamed Morad, Southern Federal University, Faculty of Mathematics,Mechanics and Computer Science, Department of Computational Mathematics and Mathematical Physics, Russian Federation

Abstract: The behavior of thin liquid film of an incompressible ideal fluid can be simulated by the shallow water equations. In the case when the equations are of hyperbolic type, additional simplifying assumptions on the problem parameters allow to construct the Riemann-Green function and construct the solution in implicit form. This function can be represented in the form of some hypergeometric functions that require numerical methods for analyzing solutions. In particular, the results of calculations which describe the behavior of the velocity field and the free surface of the liquid layer for certain types of initial perturbations are presented.
Complexity analysis of spatiotemporal propagation of local field potentials from motor cortex.

Narayan Puthanmadam Subramaniyam, Tampere University of Technology, , Finland

Kazutaka Takahashi, University of Chicago , Organismal Biology and Anatomy, United States

Jari Hyttinen, Tampere University of Technology / BioMediTech, Department of electronics and communications, Finland

Nicholas Hatsopoulos, University of Chicago,, Dept. of Organismal Biology and Anatomy and Committee on Computational Neuroscience,, United States

Abstract: It has been reported that aggregate signals on the cerebral cortical surfaces within and across multiple areas exhibited spatiotemporal patterns, when the magnitude or phase of the underlying oscillatory signals were considered. However, it has never been shown to look at spatiotemporal dynamics of temporal evolution of complexity of signals. In this work, we used local field potentials (LFPs) recorded from a Utah array chronically implanted in the primary motor cortex of non-human primate. We constructed recurrence network from the time series and characterized its complexity using global clustering coefficient and as well as looked at beta oscillations of LFPs in each channel around the time of movement cues. We showed temporal profiles of complexity measures on each channel are similar to the magnitude profile of beta oscillations. This may give us a new insight as to how complexity of LFPs at different levels contributes to potential underlying computational processes or anatomical constrains in a given area.
Quantum Tuning: From the Coarse Graining to the Tower of Scales

Michael G. Zeitlin, IPME RAS, Mathematical Methods in Mechanics Group, Russian Federation

Antonina N. Fedorova, IPME RAS, Mathematical Methods in Mechanics Group, Russian Federation

Abstract: We construct some universal picture for re-consideration of base states and generic phenomena, like entanglement, in Quantum Mechanical set-up. Our main goal is related to the analytical continuation of the standard zoo of solutions/base states from trivial ones, like plane waves or gaussians to novel states, possibly realizable, which permit more realistic (re)interpretation of the base folklore of Quantum Mechanics as well as more proper analytical/numerical modeling on the whole qualitative scale from entanglement to decoherence. Definitely, there is a set of experimental features as well as theoretical prerequisites demanding the appearance of new usefulness images. We start from some simple categorification procedure allowing to consider generic states as sheaves but not functions, after that we look for internal hidden symmetries on the level of the underlying "categorified" Hilbert space of extended states. The orbits of these symmetries create the arena where we can model the novel features of our generalization of Quantum Mechanics. The analytical instruments allowing us to model both qualitative and quantitative aspects are Nonlinear Local Harmonic Analysis on the representations of orbits of hidden symmetries of underlying generalized Hilbertian spaces and variational principles which permit the algebraization of the subsequent control of the type of behaviour. It seems that reasonable extension of the zoo of possible (realizable) states can simplify the search of prototypes for realizable quantum devices as well as provide the more realistic (re)interpretation of the long-living standard "quantum folklore". http://math.ipme.ru/zeitlin.html, http://mp.ipme.ru/zeitlin.html
The Reaction of Aluminium Clusters with Water: a Quantum Chemical Investigation

JERZY MOC, Wroclaw University, Department of Chemistry, Poland

Abstract: The reaction of sub-nanosized aluminium particles with water is studied using quantum chemical methods. Detailed reaction pathways are presented for both the O-H bond dissociation and H2 production steps. The effect of charge of the metal particles on the energy barrier heights and the course of the reaction is examined. On the methodological side, the influence of the quantum chemical method used (especially the form of the exchange-correlation functional in Kohn-Sham density functional theory) on the predicted barrier heights is discussed. The results of the current quantum-chemical modeling are relevant to the issues of the catalytic role of the main group metal clusters and H2 generation.
Exact solutions to regularized long wave equation

Alvaro Salas, Universidad de Caldas Columbia, , Colombia

Abstract: In this paper we derive some exact solutions to generalized long wave equation(RLW equation) by using the sn-ns method--a generalization of the well-known tanh-coth method.
Mercury's Perihelion Precession in Einstein's Theory

Alvaro Salas, Universidad de Caldas Columbia, , Colombia

Abstract: We show the way the analytic solution to Duffing equation is applied to search soliton solutions to some important physical models.
Critical phenomena in communication/computation networks with different topologies and optimal resources allocation

Marco Cogoni, CRS4, , Italy

Giovanni Busonera, CRS4, , Italy

Paolo Anedda, CRS4, , Italy

Gianluigi Zanetti, CRS4, , Italy

Abstract: We generalize previous studies on critical phenomena in communication networks by adding computational capabilities to the nodes. On this computational network, modeled as a graph, a set of tasks with random origin, destination and computational structure is distributed. By computing the two-point correlation function for the local overload, we study the behavior of the correlation distance (both for links and nodes) while approaching the congested phase. The global latency for a finite interval of time is optimized via simulated annealing to obtain a quasi-optimal resource assignment (network routing and computation). The overload trend of the system is predicted by averaging over several network traffic realizations while maintaining a spatially detailed information for each node. The globally optimized computational resource allocation and network routing sets the baseline to compare the phase transition behavior with respect to existing routing strategies for different network topologies.
The Geometrical Meaning of Time - Some Cosmological Implications

Asher Yahalom, Ariel University, , Israel

Abstract: It is stated in many text books that the any metric appearing in general relativity should ‎be locally Lorentzian i.e. of the type gµν = diag(1,−1,−1,−1) this is usually presented as an ‎independent axiom of the theory, which cannot be deduced from other assumptions. The ‎meaning of this assertion is that a specific coordinate (the temporal coordinate) is given a ‎unique significance with respect to the other spatial coordinates. It is shown that the ‎above assertion is a consequence of requirement that the metric of empty space should be ‎linearly stable and need not be assumed. Some cosmological implications of the above ‎result will be suggested.‎ Bibliography ‎[1] ‎Asher Yahalom "The Geometrical Meaning of Time" [“The Linear Stability ‎of ‎Lorentzian Space-Time” Los-Alamos Archives - gr-qc/0602034, gr-‎qc/0611124] ‎Foundations of Physics http://dx.doi.org/10.1007/s10701-008-9215-3 ‎Volume 38, ‎Number 6, Pages 489-497 (June 2008).‎ ‎[2] Asher Yahalom "The Gravitational Origin of the Distinction between Space and ‎Time" ‎International Journal of Modern Physics D, Vol. 18, Issue: 14, pp. 2155-‎‎2158 (2009). ‎DOI: 10.1142/S0218271809016090.‎ ‎[3] ‎Asher Yahalom "Gravity and the Complexity of Coordinates in Fisher ‎Information" ‎International Journal of Modern Physics D, Vol. 19, No. 14 (2010) ‎‎2233–2237, © World ‎Scientific Publishing Company DOI: ‎‎10.1142/S0218271810018347.‎ ‎[4] Asher Yahalom "The geometrical meaning of time - the emergence of the concept ‎of ‎time in the general theory of relativity" a chapter in a book "Advances in ‎Classical Field ‎Theory", Bentham eBooks eISBN: 978-1-60805-195-3, ‎‎2011. ‎http://www.bentham.org/ebooks/9781608051953/index.htm.‎
First-Principles Study Of Optical Properties Of Cd1-xVxTe

Sacia Djeroud, Physics Laboratory at Guelma, University 8 Mai 1945 Guelma, Department of Materials Science, Algeria

Louiza Messaadia , Physics Laboratory at Guelma, University 8 Mai 1945 Guelma, Department of Materials Science, Algeria

Kamel Zanat, Physics Laboratory at Guelma, University 8 Mai 1945 Guelma, Department of Materials Science, Algeria

Abstract: In recent years, research has been focused to discover materials that can be relevant for the combination of electronic and magnetic properties. Transition material doped semiconductors are the subject of great interest.Their electronic and magnetic properties are extensively investigated. However, theoretical studies of the effect of the magnetic impurity on optical properties of these dilute magnetic semiconductors are not abundent in the litterature. In such context we present in this paper an ab-initio investigation of electronic and optical properties of V-doped CdTe. Throughout the calculations, total and partial densities of states of Cd1-xVxTe ( with x ≤ 1) show a strong difference with those of CdTe starting material. The optical properties are calculated and examined using the dielectric function. Finally the magnetic moment of V in Cd1-xVxTe structure is evaluated.
Two-dimensional Finite Elements Analysis of an SR motor

Gholamreza Zandesh, HIRBODAN ARIANA Professional Engineers Training Institute, , Iran (Islamic Republic of)

Abstract: This paper report on the thermal analysis carried out on switched reluctance motor (SRM) by finite element (FE) methods. Thermal calculation, especially in non-conventional machine in which there is only limited information about heat dissipation, is an important stage in machine design. SRM is such a machine hence necessitating a defined methodology to carry out thermal analysis; this paper intensely attempts and provides simulation method for thermal analysis. The thermal flux plot, the isothermal distribution, thermal gradient in different part of SRM at its different rotor position and the respective governing equation are presented.
Data mining to correlate alerts from intrusion detection systems

Adriano Ribeiro, Universidade Estadual Paulista "Júlio de Mesquita Filho", , Brazil

Vinicius Vassoler Galhardi, Universidade Estadual Paulista "Júlio de Mesquita Filho", , Brazil

Vinicius Ferreira, Universidade Estadual Paulista "Júlio de Mesquita Filho", , Brazil

Raphael Silva, Universidade Estadual Paulista "Júlio de Mesquita Filho", , Brazil

Adriano Cansian, Universidade Estadual Paulista "Júlio de Mesquita Filho", , Brazil

Abstract: The intrusion detection systems provides valuable information regarding the security of computer networks. However, because the amount of threats inherent computational systems, records may constitute threats large volumes of data, often quite complex to be analyzed in a timely manner. This paper presents a methodology for data mining to correlate alerts and subsequently generate a cenario of the associations obtained. The alert correlation has as principle the use of data mining methods to minimize the information generated by threats and, in addition, create an overview of the attack scenario of such malicious events.
Dependence of maxima in space

Helena Ferreira, University of Beira Interior, Mathematics, Portugal

Luísa Pereira, University of Beira Interior, Mathematics, Portugal

Abstract: We evaluate the dependence among large values of the amount of tritium (pCi/L) in drinking water, for three cities in Alabama State (USA). The first two are relatively close to a nuclear power plant in northern Alabama and its tritium data in drinking water show greater levels in the period 1997-2013. We estimate the dependence of the annual maxima at these locations throughout the estimation of a multivariate variogram. The multivariate variogram is a coefficient that measures the dependence among large values for spatial processes of maxima. Its main properties are: a) k locations can be taken into account; b) it takes values in [0,1] and higher values indicate stronger dependence; c) it is independent of the univariate marginal distributions of the random field; d) it can be related with the tail dependence and the extremal coefficients; e) it agrees with the concordance property for multivariate distributions; f) it has as a particular case the variogram from geostatistics; g) it can be easily estimated.
Use of principal component analysis for identification of temporal and spartial patterns in the dynamics of ionospheric equatorial anomaly

Yulia Maslennikova, Kazan federal university, Institute of Physics, Russian Federation

Vladimir Bochkarev, Kazan Federal Univercity, Radiophysics departament, Russian Federation

Dmitry Voloskov, Kazan (Volga Region) Federal University, , Russian Federation

Abstract: In this paper we describe results of the principal components analysis of the dynamics of Total Electronic Content (TEC) data with the use of global maps presented by the Jet Propulsion Laboratory (NASA, USA) for the period of 2007–2011. We shown that the result of the decomposition in principal components essentially depends on the method used for pre-processing the data, their representation (the used coordinate system), and the data centering technique (e.g daily and seasonal components extracting). The use of the concomitant coordinates system and other special techniques provide opportunity for the detailed analysis of the ionospheric equatorial anomaly. For example, the second component of the decomposition reveals the equatorial anomaly attended by time equidistant variations negatively correlated with this anomaly. We suppose that data of this component reflect the dynamics of the form of the principal maximum of TEC. The third component reflects the asymmetry of hemispheres. For temporal patterns analysis additional data like pressure global maps and wind velocity data were used. It was shown that the dynamics of the second component has good correlation with global variations of the pressure data.
Complex Patterns as Orbits of Internal Symmetries

Antonina N. Fedorova, IPME RAS, Mathematical Methods in Mechanics Group, Russian Federation

Michael G. Zeitlin, IPME RAS, Mathematical Methods in Mechanics Group, Russian Federation

Abstract: We present universal framework for generation, analysis and control of non-trivial states/patterns in the complex systems like kinetic/BBGKY hierarchies describing general set-up for non-equilibrium dynamics and their important reductions. We start from the proper underlying functional spaces and their internal hidden symmetries which generate all dynamical effects. The key ingredients are orbits of these symmetries, their representations, and Local Nonlinear Harmonic Analysis on these orbits. All that provides the possibility to consider the maximally localized fundamental generic modes, non-linear (in case of the non-abelian underlying symmetry) and non-gaussian, which are not so smooth as gaussians and as a consequence allowing to consider fractal-like images and possible scenarios for generation chaotic/stochastic dynamics on the level of representation theory only. The analytical consideration and modeling are based on some set of variational principles generating the so-called Generalized Dispersion Relations, which are the key and pure algebraic instrument for the realizable control, at least on the qualitative level, for the type of pattern we are interested in our applications. As a main example we consider the modeling of fusion dynamics in plasma physics. http://math.ipme.ru/zeitlin.html, http://mp.ipme.ru/zeitlin.html
The effect of the number of states on the validity of credit ratings

Pedro Lencastre, Faculdade de Ciências Universidade de Lisboa, , Portugal

Frank Raischel, Instituto Dom Luiz, CGUL, University of Lisbon, 1749-016 Lisbon, Portugal, , Portugal

Pedro Lind, ForWind, Institute of Physics , University of Oldenburg, , Portugal

Abstract: We explicitly test if the reliability of credit ratings depends on the total number of admissible states. We analyse open access credit rating data and show that the effect of the number of states in the dynamical properties of ratings change with time, thus giving supportive evidence that the ideal number of admissible states changes with time. We use matrix estimation methods that explicitly assume the hypothesis needed for the process to be a valid rating process. By comparing with the likelihood maximization method of matrix estimation, we quantify the ”likelihood-loss” of assuming that the process is a well grounded rating process.
Solution of the full Ginzburg-Landau equation in 3D geometries using conformal mapping

Chibotaru Liviu, KU Leuven, , Belgium

Abstract: We present a method to solve the Ginzburg-Landau equation in specific 3D geometries: prisms with arbitrary shape and figures of revolution with arbitrary profile. The decomposition of geometries into 1D+2D domains can be achieved for that special geometries. This decomposition allows the conformal mapping from a cylinder (noting that a cylinder is, both, a figure of revolution and a prism) into these geometries. Functions, that are defined in the cylinder and satisfy the Neumann boundary condition, can be mapped into the new geometries and still satisfy the same boundary condition. In the case of prisms with arbitrary shape, the functions defined in the base of the cylinder are mapped into the base of the prisms, and in the case of figures of revolution with arbitrary profile, functions defined in a vertical cross section of the cylinder are mapped into a cross section of the figures of revolution. These functions are used as basis functions to solve the linearized Ginzburg-Landau equation. The eigenfunctions of this equation can then be used to solve the full Ginzburg-Landau equation using the Newton-Raphson method. The access to the new geometries allows us to study the competition between different vortex phases that are characteristic from different geometrical parts of the samples. For example, we can construct prisms with a T-shaped base where there will be a competition between vortex configurations compliant with a rectangular parallelepiped and with a cube. Also, we present an application of the finite element method to the 2nd Ginzburg-Landau equation, that in the future will be use to solve self-consistently the Ginzburg-Landau system of equations.
Metanetworks of artificially evolved regulatory networks

Burçin Danacı, Istanbul Technical University, Physics Engineering, Turkey

Abstract: Evolvability is commonly believed to depend upon robustness with respect to mutations as well as the ability for innovation, and both depend on the way the ``neutral network'' of a given ``species'' (or phenotypical feature) spans the genotype space. Ciliberti et al.~\cite{ciliberti} have studied the neutral network associated with a given feature (defined as possessing a certain dynamical attractor) within a population of Boolean networks. The topological and dynamical features of networks are strongly interdependent, in rather subtle ways. In a previous work~\cite{danaci} we showed that, a model population of Boolean graphs evolved under selection for short dynamical attractors exhibits distinct topological features, summarized by their significance profiles~\cite{alon2}. The evolved graphs differ from each other by ``mutations,'' which correspond to rewiring pairs of independent edges. In this presentation we show that this model population of evolved graphs forms metanetworks both in the genotype (adjacency matrix) and in the phenotype (attractor) space, and we study the properties of these metanetworks. Nodes of the metanetwork in genotype space are Boolean graphs which are connected by an edge if they are one mutation away from each other. We found that the minimum distance between the randomized counterparts of the evolved graphs, is much larger than a single mutation. Thus, the randomized graphs do not have any neighbors in the genotype space and do not form a metanetwork in genotype space. Most of the metanetworks formed by evolved graphs have connected components containing more than half of the graphs within the population. The degree distributions of the metanetworks formed in the genotype space approximately obey Poisson distributions. The k-core decomposition of the metanetworks, however, is different from those of Erd\"os-Renyi networks with the same edge density. In attractor space, the metanetwork is defined so that two Boolean graphs are connected by an edge if they share at least one attractor. The edges are weighted by the sizes of the basins of attraction of the shared attractors. Evolved populations converge to fewer number of attractors, which leads to stronger edges. Our study shows that metanetworks of evolved populations are robust under the elimination of weak connections. The majority of the evolved populations exhibit giant clusters in the genotype metanetworks, which coincide upto 99\% with the giant cluster in their phenotype metanetwork. \begin{thebibliography}{10} \bibitem{ciliberti} S. Ciliberti, O.C. Martin, and A. Wagner, Proc. Natl. Acad. Sci. USA {\bf 104} 13591 (2007). \bibitem{danaci} B. Danac\i, M. A. An{\i}l, A. Erzan, arXiv:1402.728, Phys. Rev. E in press. \bibitem{alon2} R. Milo, S. Itzkovitz, N. Kashtan, et al., Science \bf{303}, 1538 (2004). \end{thebibliography}
Statistical treatment of polarization mode dispersion in the linear and nonlinear regimes

Marat Musakaev, TU Dresden, , Germany

Henning Kuntzschmann, TU Dresden, Communications Lab, Germany

Abstract: The birefringence of communication optical fibres is not uniform along the distance. Due to its stochastic nature the refractive index of the fibre is disordered leading to the polarization mode dispersion. With the assumption of weak linear birefringence disorder the statistics of averaged polarization mode dispersion is numerically estimated. The probability distribution is shown to have long algebraic tails and to be Maxwellian with enough large number of samples. In case of polarization mode dispersion and nonlinearity interaction the analytical formulae for Maxwellian distribution is not appropriate and simulations are critical.
Accelerating voltage effect on the ablation process during pulsed electron deposition.

Muddassir Ali, Laurentian University, Bharti School of Engineering, Canada

Redhouane Henda, Laurentian University, Bharti School of Engineering, Canada

Abstract: Pulsed electron beam ablation (PEBA) has emerged as a very promising technique for the deposition of thin films with superior properties. PEBA is based on the interaction of a short (~ 100 ns) pulsed electron beam with a target material whereby an energetic plasma flux forms and expands towards a substrate. Thin film deposition during PEBA is significantly influenced by many factors such as power density, beam energy, background gas pressure, and target to substrate distance. Target ablation is mainly affected by two critical factors, which are beam energy and power density delivered to the target surface. Experimental results have shown that it is not always favorable to operate the electron beam at higher energy in order to increase the target heating rate. To find out, we have analyzed the effect of electron beam accelerating voltage on the maximum target surface temperature. In this study, a two stage, one dimensional thermal model is used and a graphite target is considered. The latter is subjected to an electron pulse with accelerating voltages of 10, 13, 15, 17 and 18 kV. The surface temperature, vaporization front velocity, ablated depth, and ablation rate are estimated from the solution of the model. Simulation results have shown that target surface temperature is not proportional to the accelerating voltage. It has been found that the surface temperature increases with the accelerating voltage from 10 kV to 15 kV, and reaches a maximum value (7500 K) at 15 kV. After 15 kV, the temperature decreases with increasing accelerating voltage. Similar trends have been observed in the vaporization front velocity, ablated depth and ablation rate, with maximum values (75 m/s, 2.1 µm, and 4 µg/mm^2) at 15 kV. The calculation results are in good agreement with the relevant experimental data from the literature.
Studying the lateral chain packing in a ceramide bilayer with molecular dynamics simulations

Nikolaos Papadimitriou, National Center for Scientific Research Demokritos, Environmental Research Laboratory, Greece

Michael Kainourgiakis, National Center for Scientific Research Demokritos, Environmental Research Laboratory, Greece

Stylianos Karozis, National Center for Scientific Research Demokritos, Environmental Research Laboratory, Greece

Georgia Charalambopoulou, National Center for Scientific Research Demokritos, Environmental Research Laboratory, Greece

Abstract: Stratum corneum is the outermost layer of the skin and it is responsible for its barrier function since it controls the transportation of water or any other chemical compound between the body and the environment. It consists of large anhydrous cells that are surrounded by a lipid domain. This lipid domain is made of essentially parallel lipid bilayers consecutively placed the one after the other, where ceramides are the most abundant lipid class. Apart from ceramides, the skin lipid domain also contains cholesterol and free fatty acids. In this work, we have performed Molecular Dynamics simulations in order to examine several properties of ceramide bilayers such as [1,2]: bilayer thickness, area per lipid, chain tilt, conformation (gauche/trans ratio) of the alkyl chains, radial distribution functions, lateral chain packing, and hydrogen bonding between the head groups. In an attempt to capture slow structural changes, we have used long relaxation times (150 – 400 ns) along with an annealing process for the system equilibration. The examined system is a lipid bilayer that contains ceramide NS (with various chain lengths), cholesterol, and lignoceric acid. The appropriate hydration level is achieved by confining the bilayer between two water slabs (that contain from 0 to 3500 water molecules each). For the simulations, the GROMACS software package was used that allows extremely fast computations on GPU units. Special focus is given to the dependence of these properties on the hydration level of the bilayer as well as on the chain length of the lipids. Hydration level indicates the amount of water that is present in the ceramide bilayers and is expected to significantly affect the bilayer properties. Hydration level and the distribution of water molecules in the bilayers cannot easily be determined by experimental means, so simulation can offer an insight into the water-lipid interactions. The simulations are carried out over a wide temperature range (300 – 360 K) in an attempt to study the phase behavior of the specific type of lipid bilayer. Contrary to bilayers that contain phospholipids (e.g. in the cell membranes) and are usually in a fluid state, ceramide bilayers present a more complex phase behavior that involves structural transitions between different gel phases (hexagonal, orthorhombic) and a fluid/gel transition at higher temperatures. The phase state of ceramide bilayers crucially affect the physical and mechanical properties of the skin and these simulations can provide information about the correlation between the basic properties of the ceramide bilayers and the functionality of the skin. References 1. S. Guo, T. C. Moore, C. R. Iacovella, L. A. Strickland, C. McCabe, J. Chem. Theory Comput. 9:5116-5126 (2013). 2. C. Das, M. G. Noro, P. D. Olmsted PD, Biophys J. 97:1941-1951 (2009).
A Stochastic Model of Particle Deposition and Evaporation for Ionic Self-Assembly of Thin Films

Eric Schwen, Washington and Lee University, Physics and Engineering, United States

Irina Mazilu, Washington and Lee University, Physics and Engineering, United States

Dan Mazilu, Washington and Lee University, Physics and Engineering, United States

Abstract: Nanoparticle self-assembly is an important mechanism for nanotechnology with specific applications in the creation of optical films. Layer-by-layer self-assembly of nanoparticles on glass or polycarbonate substrates can be used to construct thin films with precise optical properties. The thin films created through nanoparticle self-assembly are highly uniform and conformal to the exposed surface of the substrate even when applied to irregular shapes. The optical properties of the resulting coatings can be determined through the choice of nanoparticle size and coverage as well as the number of bilayers. We present a stochastic model for ionic self-assembly based on Cooperative Sequential Adsorption with Evaporation mechanics. The model predicts the nanoparticle surface coverage, which can be related to the index of refraction of the film. We created Monte Carlo simulations for the self-assembly process and found excellent agreement between simulation results and the predictions of our model. Through relating our model to experimental results for varied nanoparticle concentrations, we found a functional relation between the concentration and the nanoparticle surface coverage. Although specifically applicable to the creation of thin films, the mechanics of our model are quite general and can be effectively applied to any system with interactions between neighboring elements. We confirm this generality and obtain additional results by mapping our self-assembly model onto the Ising model.
COMPUTATIONAL SIMULATION OF A GYROTRON BASED ON AURORAL KILOMETRIC RADIATION EMISSION MECHANISM

Eduardo Orozco, Universidad Industrial de Santander, Physics, Colombia

Kevin Ronald, University of Strathclyde, SUPA Department of Physics, United Kingdom

Alan Phelps, University of Strathclyd, SUPA Department of Physics, United Kingdom

Abstract: We present results from numerical simulations of radiation emission from an electron beam in a based on the Auroral Kilometric Radiation (AKR) mechanism, which occurs naturally in the polar regions of the Earth’s magnetosphere [1]. Such an experiment was designed and built in the Department of Physics at the University of Strathclyde by scaling the natural frequency of the AKR emission to the microwave frequency range 4-12 GHz [2]. A 3D particle-in-cell (PIC) code model based on Vlasov -Maxwell system equations was constructed to simulate the processes excited by an electron beam subject to significant magnetic compression and brought into resonance with TE modes of an interaction waveguide. The electrostatic field generated by a system of electrodes is calculated from Laplace’s equation in a finite difference form which is solved using the successive over-relaxation method (SOR). The electromagnetic field radiated by the electron beam is simulated through the implementation of the Finite Difference Time Domain (FDTD) method [3]. The charge conservation method [4] permits calculation of the beam current density. The cylindrical components of the static fields and the self-consistent fields at the superparticle positions are found by applying bilinear and trilinear interpolation of the mesh node data respectively. The relativistic Newton-Lorentz equation presented in the centered difference form is solved using the Boris algorithm [5,6] that provides for visualizing the beam trajectory and energy evolution. It is shown that a 70 keV electron beam subject to magnetic compression factors of up to 18 resulting in an electron cyclotron frequency of 4.42 GHz yields beam–wave coupling with the TE01 mode. Both the RF output power and the RF conversion efficiency are calculated. The results are compared with those previously obtained from a 2D particle-in-cell (PIC) code for excitation of the cylindrical TE01 mode [7]. References [1] Gurnett D. A. , J. Geophys. Res.: Space Phys. 79, 4227 (1974) [2] D. Speirs et al., J. Plasma Physics, 71, part 5, pp. 665–674. (2005) [3] K. Yee, IEEE Trans. Ant. Propagat., 14 N°3, 302 (1966). [4] T. Umeda et al., Comp. Phys. Comm., 156, 73 (2003). [5] C. Birdsall and A. Langdon, Plasma Physics via Computer Simulation. Bristol, U.K.: A. Higler, 1995, Series on Plasma Physics. [6] R. Hockney and J. Eastwood, Computer Simulation Using Particles. Bristol, U.K..: A. Higler, 1988. [7] D. Speirs et al., Plasma Phys. Control. Fusion, 50 ,074011, (2008)
Quantum Monte-Carlo phase diagram for a model cuprate

Konev Vitaliy, Ural Federal University, Theoretical Physics, Russian Federation

Eugene Vasinovich, Ural Federal University, Theoretical Physics, Russian Federation

Polina Matveyeva, Ural Federal University, Theoretical Physics, Russian Federation

Abstract: We introduce a minimal model for CT (charge transfer) unstable 2D cuprates with the on-site Hilbert space reduced to only three effective valence centers and make use of the S=1 pseudospin formalism. Despite its seeming simplicity the model is believed to capture the salient features both of the hole- and electron-doped cuprates. Concept of the electron and hole centers, differing by a composite local boson, and electron-hole pairing are shown to explain central points of the cuprate puzzles, in particular, the HTSC itself and pseudogap phenomena. Making use of two different QMC methods, the standard stochastic series expansion (SSE) with loop updates and a continuous time world-line QMC, we studied the ground-state and finite-temperature properties of the Hamiltonian given different parameters values. Our QMC calculations for the model CT unstable cuprates shows a step-by-step evolution under doping of the parent insulating state into an uncoventional inhomogeneous supersolid (mixed charge order - Bose superfluid, or CO+BS) phase formed by electron and hole centers. The simulation does reproduce main features of the phase diagrams for doped cuprates, in particular, the suppression of antiferromagnetism, a pseudogap regime due to charge ordering, formation of a local superconductivity , and global 2D superconductivity.
A stochastic model of nanoparticle self-assembly on Cayley trees

Irina Mazilu, Washington and Lee University, Physics and Engineering, United States

William Banks, Washington and Lee University, Physics and Engineering, United States

Eric Schwen, Washington and Lee University, Physics and Engineering, United States

Brenton Pope, Washington and Lee University, Physics and Engineering, United States

Dan Mazilu, Washington and Lee University, Physics and Engineering, United States

Abstract: Nanomedicine is an emerging area of medical research that uses innovative nanotechnologies to improve the delivery of therapeutic and diagnostic agents with maximum clinical benefit while limiting harmful side effects. In recent years, the self-assembly of nanoparticles has played an ever increasing role in nanomedical research in the context of drug delivery. When the proper environment is provided, nanoparticles spontaneously organize into desirable ordered structures. We present a versatile stochastic model that can be used to capture the basic features of drug encapsulation of nanoparticles on tree-like synthetic polymers called dendrimers. The geometry of a dendrimer is described mathematically as a Cayley tree. We use our stochastic model to study the dynamics of deposition and release of monomers (simulating the drug molecules) on Cayley trees (simulating dendrimers). We present analytical and Monte Carlo simulation results for the particle density for Cayley trees of coordination number three and four.
An analytical and computational study of a stochastic adsorption model with variable attachment and detachment rates

Dan Mazilu, Washington and Lee University, Physics and Engineering, United States

Irina Mazilu, Washington and Lee University, Physics and Engineering, United States

Eric Schwen, Washington and Lee University, Physics and Engineering, United States

William Banks, Washington and Lee University, Physics and Engineering, United States

Abstract: We present a random sequential model for both adsorption and evaporation of monomers and dimers. We consider a general case of attachment rates and detachment rates dependent on time and the number of particles in the system. The model is applicable to all dimensions and topologies, and can describe a variety of two-state physical systems. In studying this model, we employ a variety of mathematical techniques: matrix theory, the generating function method, and the mean field. We report analytical results for the time-dependent particle density and correlation functions. We subject our analytical results to comparisons with experimental data and computational Monte Carlo studies. We present experimental data on the self-assembly of charged nanoparticles on a glass substrate under conditions that should match well with our model. We compare the particle coverage as a function of time with our analytical results and tailor the attachment and detachment rates of our model accordingly. On the computational front, we report Monte Carlo simulation results for two-dimensional lattices and Cayley trees.
Any realistic model of a physical system must be computationally realistic

Arkady Bolotin, Ben-Gurion University, , Israel

Abstract: Recently a definition of realistic physics theories – i.e., mathematical models representing the real world – has been proposed that classifies a model of a physical system as realistic if and only if, according to the mathematical structure of this model, the collection of all physical quantities written in the system unambiguously determines the probabilities of all possible measurement outcomes [arXiv:1401.0419]. In the presented paper, I argue that attractive and credible as this definition might seem, it nevertheless fails to mention that, before anything else, a realistic model must be computationally realistic. This means that the mathematical structure of a realistic model of a physical system must allow the collection of all the system’s physical quantities to determine the probabilities of all possible measurement outcomes not only in an unambiguous way but also in a realistic, that is, reasonable amount of time. Indeed, the defining characteristic of any mathematical physics model is that it makes falsifiable or testable predictions. It assumes that if the mathematical model were insoluble in a reasonable amount of time (even with access to a supercomputer), then the model would not have a realistically testable predictive content, and therefore the term ”realistic” would be hardly applicable to it. In the paper, it is shown that a deterministic quantum model of a microscopic system evolving in isolation should be regarded as realistic since the NP-hard problem of finding the exact solution to the Schrödinger equation for an arbitrary physical system can be surely solved in a reasonable amount of time if the given system has just a small number of degrees of freedom. In contrast to this, the deterministic quantum model of a truly macroscopic object (such as a macroscopic detector, an observer, the universe), ought to be considered as a non-realistic model since to everyone living in the world of limited in time and space computational resources, the intractable problem possessing an enormous amount of degrees of freedom would be the same as mere unsolvable. On the other hand, if a truly macroscopic object is considered as a system with only a few controlled or measured degrees of freedom (among many others that are uncontrolled or unmeasured) then the object’s inexact, probabilistic quantum model (as it can only provide an incomplete description of the system) can be surely solved in reasonable time and, as a consequence, regarded as a realistic physics model.
Hydrodynamics studies of cyclic voltammetry for electrochemical micro biosensors

Bolaji J. Adesokan, Technical University of Denmark, Department of Applied Mathematics and Computer Science, Denmark

Abstract: We investigate flow rate effects on electrical current response to applied voltage in a micro electrochemical system. To accomplish this, we considered ion-transport model that is governed by Nernst-Planck equations coupled with Navier-Stokes equations for hydrodynamics. The Butler-Volmer relation provides the boundary conditions which represent reaction kinetics at the electrode-electrolyte interface. The result shows that convection drastically affects the rate of surface kinetics. At a physically sufficient high flow rates and lower scan rates, the current response is limited by the convection due to fresh ions being brought to the electrode surface and immediately taken away before any surface reaction. However, at high flow and scan rates, the Faradaic current overrides current due to convection. The model also allows predicting the effect of varying electrolyte concentration and scan rates respectively.
A quantum theory for the excitation spectrum of a rectangular Andreev billiard

Julio S Espinoza Ortiz, Federal University of Goias , Physics, Brazil

Roberto E. Lagos, Universidade Estadual Paulista, Departamento de Física - IGCE, Brazil

Fernando Eleuterio, University Federal of Espirito Santo, Physics, Brazil

Leandro Amorim, University Federal of Espirito Santo, Physics, Brazil

Humberto Belich Junior, Universidade Federal do Espirito Santo, Departamento de Física (DFIS), Brazil

Marcos Orlando, University Federal of Espirito Santo, Physics, Brazil

Abstract: There is an increasing technological interest in the study of normal-conductor(\textit{N}) ballistic quantum dots joined to a superconductor(\textit{S}), giving rise to the coherent scattering of electron into holes and conversely at the superconductor-conductor interface. This peculiar phenomena known as Andreev reflection is the important concept necessary to understand the properties of nanostructures with \textit{N-S} hybrid structures, commonly called Andreev billiards. We consider a \textit{N-S} box system consisting of a rectangular conductor attached to a superconductor. The composed system is integrable and its density of states is gapless. The Green functions are constructed by solving the \textit{Bogoliubov-de Gennes} equations at each side of the interface, with the pairing potential described by a step-like function. Taking into account the mismatch in the Fermi wave number and the effective masses of the normal metal - superconductor and the tunnel barrier at the interface, we use the quantum section method in order to find the exact energy Green function yielding accurate computed eigenvalues and the density of states. Furthermore, this procedure allow us to analyze in detail the \textit{nontrivial} semiclassical limit and examine the range of applicability of the \textit{Bohr-Sommerfeld} quantization method.
D-dimensional Schrödinger Equation with Eckart-Hylleraas Potential: Bound State Solutions.

Jose Juan Peña Gil, Universidad Autonoma Metropoitana Azc., Ciencias Básicas, Mexico

Gerardo Ovando, Universidad Autonoma Metropolitana, DCBI - Ciencias Básicas , Mexico

Jesús Morales, Universidad Autónoma Metropolitana, DCBI- Ciencias Básicas, Mexico

Abstract: Bound state solutions of the D-dimensional Eckart-Hylleraas potential have been recently obtained by using the Nikiforov-Uvarov method. Such a procedure is one of the most popular approaches extensively used for many other specific exponential-type potentials with hypergeometric solutions. In this work, by using the solutions of a D-dimensional multiparameter exponential-type potential, obtained from a point canonical transformation approach, we show that bound state solutions of the Eckart-Hylleraas potential are straightforwardly derived as a particular case of our proposal. That is, instead to find the bound state solutions of each specific exponential potential, by resorting each time a specialized procedure, our approach can be considered as an unified method to deal exponential-type potentials because each particular case is directly obtained from the proposal by a simple choice of the involved parameters.
Two superfluids in (Hg,Re)-1223 superconductor

Fernando Eleuterio, University Federal of Espirito Santo, Physics, Brazil

Leandro Amorim, University Federal of Espirito Santo, Physics, Brazil

Humberto Belich Junior, Universidade Federal do Espirito Santo, Departamento de Física (DFIS), Brazil

Marcos Orlando, University Federal of Espirito Santo, Physics, Brazil

Carlos Augusto Cardoso Passos, University Federal of Espirito Santo, Physics, Brazil

Julio S Espinoza Ortiz, Federal University of Goias , Physics, Brazil

Abstract: We investigate $Hg_{0.82}Re_{0.18}Ba_{2}Ca_{2}Cu_{3}O_{8.76}$ polycrystalline samples with an optimum oxygen content. We analise partitions of the sample and measure the magnetic response. We find out that the sample corresponds to a solid solution of two intrinsic structural superconductor phases. The AC magnetic susceptibility of a powder sample with a particle size of 20 $\mu $ m had a critical temperature of 133 K. To obtain mesoscopic-scale particles of 600 nm in size, a sample of the powder was crushed and sieved. The AC magnetic susceptibility of this sample had critical temperatures of 133 and 98 K. The change in the second critical temperature is described by adopting a particular parameterization of the complex scalar field associated with the order parameter in the framework of the Ginzburg--Landau theory.
Order and Disorder Evolution Determined by Non-Linear Processes

Yehuda Roth, Technion – Israel Institute of Technology, Department of Physics, Israel

Abstract: Order and disorder are related to coherence and de-coherence concepts, respectively. Consequently, exploring the de-coherence processes gives rise to the understanding of the entropy increase evolution toward maximum value in thermal equilibrium. In this work, by exploring recursive maps, we discover that in addition to the de-coherence evolution, there is an opposite process referred to as re-coherence. Re-coherence describes a system that originally possessed a disordered component, but evolves toward absolute coherence. A demonstration of a low dimensional system that experiences such a re-coherenne evolution is presented. We also show that re-coherence and de-coherence have the same origin, that is, nonlinear maps. System evolution toward Ergodicity is a known fact in statistical mechanics. However, it only describes a partial feature of the word, namely, inanimate systems. We can therefore say that both the ergodicity and these reorder time evolutions are the outcome of the same process namely recursive nonlinear maps. If ergodicity is the outcome of maps defined in the chaotic regime, it is only reasonable to assume that regular maps are also active in nature and, in particular, there are processes that ergodic systems become ordered. Since ergodic systems describe the inanimate word, we conclud that the reordered processes describe animate systems creation as was suggested long ago by Schrodinger. In biology such an evolution is referred to a Biopoiesis process.
On demand excitation generation in Bose-Einstein condensates of atoms and polaritons

Florian Pinsker, University of Cambridge, DAMTP, United Kingdom

Abstract: I theoretically demonstrate the generation of dark soliton trains in one-dimensional exciton- polariton and atomic condensates and vortex rings in effectively 3d atomic condensates by the means of an experimentally accessible scheme. In particular I show that the frequency of the train can be tuned by will to provide a stable and efficient output signal modulation. Exciton polariton condensates have a polarization degree of freedom. Taking this into account we elucidate the possibility to form on-demand half-soliton trains.
Moving particle semi-implicit method for fluid simulation with implicitly defined obstacles

Yasutomo Kanetsuki, Ritsumeikan University, Information Science and Engineering, Japan

Yasuaki Sakamoto, Ritsumeikan University, Graduate School of Information Science and Engineering, Japan

Susumu Nakata, Ritsumeikan University, College of Information Science and Engineering, Japan

Abstract: We developed a particle-based fluid simulation method with obstacles defined in implicit form. Our fluid simulation is based on the Moving Particle Semi-implicit (MPS) method, a typical particle-based algorithm achieving incompressible flow. In general, the particle-based fluid simulation is performed with obstacles that are defined as a set of particles located along the boundaries. We employ the implicit representation for the geometric information of obstacles which requires a new formulation of particle motion at the vicinity of boundaries. The main difficulty of MPS-based simulation with implicit obstacles is the lack of boundary particles that are required for the computation of two quantities: particle number density and particle force determined by pressure field. In our formulation, new definitions of the two quantities giving good estimation of the original ones is developed and incorporated in the MPS algorithm. In addition, we provide a modified algorithm for the construction of discrete linear system specific to the implicit representation for the computation of particle pressure. Our numerical tests show that the proposed approximation techniques provide adequate particle motion at the vicinity of the implicitly defined obstacles.
Abundant soliton solutions of the general nonlocal nonlinear Schr\"odinger system with the external field

Ji Lin, Department of Physics, Zhejiang Normal University, , China

Abstract: Periodic and quasi-periodic breather multi-solitons solutions, dipole-type breather soliton solution, the rogue wave solution and the fission soliton solution of the general nonlocal Schr\"odinger equation are derived by using the similarity transformation and manipulating the external potential function. And the stability of the exact solitary wave solutions with the white noise perturbation is investigated numerically.
Hydrogen-Like Impurities in novel potential barriers: Theoretical development

JESUS GONZALEZ, UNIVERSIDAD DEL MAGDALENA, DEPARTAMENTO DE FISICA, Colombia

FREDY RONDANO, Universidad del Magdalena, Facultad de Ingeniería, Colombia

JOSE BARBA, Universidad Nacional de Colombia, Departamento de Física, Colombia

Abstract: The effects of both potential shape and quantum well thickness on binding energy in quantum well wire were investigated varying the aluminum concentration and the width of transition region. In order to solve these problems, we use a variational method, in which the problem of the D0 are reduced to similar ones for a hydrogen-like atom in an isotropic effective space which the envelopment wave function only depends on the electron-ion donor separation. It is found that the potential shape enhances the binding energies of donors and novels configurations of this kind of heteroestructures can be obtained.
Influence of both quantum well thickness and radius on density exciton states on a semiconductor nanoribbon

JESUS GONZALEZ, UNIVERSIDAD DEL MAGDALENA, DEPARTAMENTO DE FISICA, Colombia

JOSE AGUILAR, Universidad del Magdalena, Facultad de Ingeniería, Colombia

JOSE BARBA, Universidad Nacional de Colombia, Departamento de Física, Colombia

Abstract: The trigonometric sweep method has been implemented to solve a renormalized Schrödinger equation for the heavy-hole exciton correlation function in a microtube, which is derived to found the energy binding and coincides with the corresponding equation for a hydrogen atom in an effective isotropic and non-homogeneous space. We also study the behavior of the density varying the aluminum concentration and the width of transition region, calculating the energy of sublevels taking into account the contribution the rotational kinetic energy which is added to the exciton energy and energy gap.
Confinement effects on quasi 0D dimensional structure with AlxGa1−x As/GaAs/Alx Ga1−xAs quantum wells

JESUS GONZALEZ, UNIVERSIDAD DEL MAGDALENA, DEPARTAMENTO DE FISICA, Colombia

JADER GONZALEZ, Universidad Pontificia Bolivariana, Facultad de Ingeniería, Colombia

JOSE BARBA, Universidad Nacional de Colombia, Departamento de Física, Colombia

Abstract: A systematic study of the ground state binding energy and density states of a hydrogenic impurity in spherical quantum dot with two GaAlAs/GaAs quantum wells is presented. The donor trial function is taken as a product of the ground state wave function, with an arbitrary correlation function that depends only on ion–electron separation. A renormalized Schrödinger equation for the correlation function is derived and coincides with the corresponding equation for a hydrogen atom in an effective isotropic and non-homogeneous space. Two peaks in the curves for the dependence of the ground-state binding energies on the donor distance from the axis are presented and it is shown that the impurity binding energy depends strongly on the impurity position, potential shape on both quantum wells.
Surface Coverage in Wireless Sensor Networks Based on Delaunay Tetrahedralization

Matheus Ribeiro, São Paulo State University (UNESP), Department of Computer Science and Statistics (DCCE), Brazil

Leandro Alves Neves, São Paulo State University (UNESP), Department of Computer Science and Statistics - DCCE, Brazil

Alex Pinto, Universidade Estadual Paulista "Júlio de Mesquita Filho", , Brazil

Alex Sandro Pinto, Universidade Federal de Santa Catarina, Câmpus de Blumenau, Brazil

Marcelo Zanchetta do Nascimento, Federal University of Uberlândia, FACOM, Brazil

Geraldo Francisco Donega Zafalon, Sao Paulo State University - UNESP/SJRP, Computer Science and Statistics - DCCE, Brazil

Carlos Valêncio, Universidade Estadual Paulista "Júlio de Mesquita Filho", , Brazil

Abstract: A wireless sensor network (WSN) is a subclass of Ad hoc networks, with the purpose of sensing some phenomena. This kind of network is applied mainly on places which are hard to access or dangerous areas, with military purposes or not. Focused studies on WSN aim achieve methods for sensor deployment on different areas of interest: the focus is guaranteeing the largest coverage sensor area, with the best quality possible and with less number of sensors. Studies about sensor deployment with Delaunay triangulation present relevant results, but it is still scarce approaches which explores tridimensional areas more realistic. In this work is presented a new method for WSN deployment considering tridimensional surfaces. The method was structured on different steps. The discretization step was performed applying the Delaunay algorithm. The tetrahedral elements and relative values (spatial coordinates of each vertex and faces) were input to construction of tridimensional Voronoi diagram. Each circumcenter was calculated as a candidate position for a sensor: the corresponding circular coverage area was calculated based on a radius r. The r value can be adjusted to simulate different kinds of sensors. The Dijkstra algorithm was applied to eliminate candidate positions with overlapped coverage areas or beyond of surface of interest. Performance evaluations measures were defined using different criteria: coverage area and communication. The preliminary results were relevant, with quality compatible with other studies focused on WSN deployment: the coverage rate achieved on a test surface was of 92%. The proposed method has the advantage of WSN deployment applied to tridimensional surfaces. This approach is promising and an important contribution to the practical studies of WSN deployment.
THE LORENTZ ATTRACTOR AND OTHER ATTRACTORS IN THE ECONOMIC SYSTEM OF A FIRM

Viktor Shapovalov, The Volgograd Branch of Moscow Humanitarian-Economics Institute, , Russian Federation

Nickolay Kazakov, Volgograd state technical University, Automation and Remote Control, Russian Federation

Abstract: A nonlinear model of the economic system of “a firm” is offered. It is shown that this model has several chaotic attractors, including the Lorentz attractor and a new attractor that, in our opinion, has not yet been described in the scientific literature. The chaotic nature of the attractors that were found was confirmed by computing the Lyapunov indicators. The functioning of our economic model is demonstrated with examples of firm behaviour that change the control parameters; these are well known in practice. In particular, it is shown that changes in the specific control parameters may change the system and avoid bankruptcy for the firm. We also found chaotic attractors, which we called tape modifications of the Lorenz attractor because of their appearance. A distinctive feature of a tape chaotic attractor is the fact that, over a long time, the trajectory of the system completely fills the space within the boundaries of the tape but does not go beyond them. In addition, we found other tape chaotic attractors.
Soliton and Instabilities in Ultracold Atomic Fermi Gas

Ayan Khan, Bilkent University, , Turkey

Abstract: The recent advent of extreme experimental controllability and tunability in ultracold alkali gases motivates us to address the issue of soliton generation in this kind of systems. Of late we have shown that a new kind of soliton (Bell) can be produced in ultracold atomic Fermi gases. Here we like to review the theoretical model through which we obtain the Bell soliton and will extend our analysis to understand the origin and stability of this kind of solitons by studying the static and dynamic instabilities.
Nonlinear waves on the surface of non-isothermal fluid film

Liudmila Prokudina, South-Ural State University, , Russian Federation

Abstract: A mathematical model of non-isothermal flow of a fluid film is presented. In conditions of Marangoni instability wave characteristics are calculated, identify areas of instability of a fluid film. It shows the influence of thermocapillary forces and forces of surface viscosity on the form of waves. Nonlinear development of perturbations belonging to a continuous band of wave numbers on the surface of a thin fluid layer is investigated within the framework of a nonlinear parabolic equation.
Modeling atomic contact formation experiments via molecular dynamics simulations

Wynand Dednam, Universidad de Alicante, Fisica Aplicada, Spain

M. A. Fernandez, Universidad de Alicante, Fisica Aplicada, Spain

C. Sabater, Leiden University, Leiden Institute of Physics, Netherlands

M. J. Caturla, Universidad de Alicante, Fisica Aplicada, Spain

C. Untiedt, Universidad de Alicante, Fisica Aplicada, Spain

J. J. Palacios, Universidad Autónoma de Madrid, Física de la Materia Condensada, Spain

Abstract: The formation and rupture of atomic-sized contacts carried out in atomic contact formation experiments is modeled by molecular dynamics (MD) simulation. Such experiments routinely measure the conductance of approaching and separating nanosized electrodes as a function of the distance between the electrodes. The conductance traces recorded during such experiments exhibit for certain metals and geometric configurations of these, jumps in the value of the conductance right before contact between the electrodes or just after breaking the contact. This is known as jump-to-contact (JC) and jump-out-of-contact (JOC) respectively. The focus of our computational work is to understand and characterize the dynamics of this JC and JOC phenomenon. Theoretically, the jumps to and out of contact seen in experimental conductance traces are expected to be related to the configuration of the minimum cross-section of the contacts formed or ruptured during MD simulations, as well as the elastic properties of the material. We simulate these physical processes by forming and rupturing metal contacts of up to a few thousand atoms of elements such as Au, Cu, W and Fe, for various geometric configurations (two tips, tip and a surface, or tip and a surface with adatom) and crystal plane directions (such as [001] and [111]) along the line of contact.
Modeling and simulation of defects inspection in conductive multi-layered pieces by the eddy current technique

Bennoud Salim, Laboratory of Aircrafts, University of Saad Dahlab (Blida 1)., , Algeria

Abstract: The eddy current method has been shown to be one of the most effective techniques for the detection and characterization of surface and near-surface defects in conductive mediums especially in aluminum alloy. It is one of the most applied methods in industries which require a maximum of reliability and security (aerospace, aeronautics, nuclear, Etc). In aeronautics for example, it is used for over 50% of all applications for the detection of hidden defects in fuselage skins and multi-layers. Modeling and simulations of eddy current technique using the numerical models of the finite element method (FEM) in order to found codes able to solve Maxwell’s equations have been developed in different papers in the lasted years. Eddy current modeling can simulate the interaction between probe and tested part and can define probe design adapted to a given problem. Thus it is possible to envisage the consequences of various choices (geometrical configuration, choice of materials…) while limiting the number of prototype to be constructed. In this study, a code to solve electromagnetic problems by employing the finite element method was developed. The suggested model can simulate the probe response to the presence of a defect hidden in a multi-layer structure or a riveted structure on aluminum alloy. The developed code is based on the discretization in three dimensions of the Maxwell's equations in harmonic mode by the finite element method based on the combined potential formulations. That will enable to interpret the results, to present them in graphical form and to carry out simulations for various applications
Establishing the number of distinct stabilizer bases for a quantum error correcting code

Colin Wilmott, Nottingham Trent University, Department of Mathematics and Physics, United Kingdom

Abstract: Coding theory has many established formalisms that elicit concise techniques for error correction. In classical computing, we have the class of codes called linear codes. Analogous to classical linear codes is the family of quantum codes called stabilizer codes. The premise of the stabilizer formalism is that a quantum code can be efficiently described by a subgroup of its error group, and, interestingly, the stabilizer formalism permits correspondences with classical linear codes. In this paper, we aim to exploit such correspondences to establish the number of distinct stabilizer sets associated with any quantum code.
From Fibonacci to the mathematics of cows and quantum circuitry

Colin Wilmott, Nottingham Trent University, Department of Mathematics and Physics, United Kingdom

Abstract: The Fibonacci sequence has established many interesting and fundamental bridges between various topics in mathematics. Indeed, if a departure point for good mathematics are the connections that may be formulated through its use, then the Fibonacci sequence is a perfect example of good mathematics. Inspired on the Fibonacci sequence, we will consider the mathematics of cows and we shall formulate a sequence analogous to that of Fibonacci. We will then show how the resulting sequence links to important questions in quantum information science, such as, the optimal construction of quantum circuits for quantum computers.
Using Fourier series for solving optimal control problem of an HIV infection treatment control model

Mohammad Alizadehjamal, Islamic Azad University, Department of Mathematics, Science and Research Branch, Iran, Islamic Republic Of

Abstract: In this paper we introduce a numerical technique based on Fourier series for solving of nonlinear optimal control problems, where this approach is used for solving optimal control problem of an HIV infection treatment control model. In this paper, first by using healthy cells CD4+T (T), infected cells CD4+T (I), viral load (V) and also by using a drug inhibitor of reverse polygraph as a control function, a control model is presented for treatment of HIV infection. A cost function to minimize the cost of drug during the treatment is defined as well. To find the pair of trajectory and control of such nonlinear optimal control problem, we used Fourier series to approximate optimal pair of trajectory and control.
Homoclinic Chaos in a pair of parametrically-driven coupled SQUIDs.

VASSILIS ROTHOS, ARISTOTLE UNIVERSITY OF THESSALONIKI, MECHANICAL ENGINEERING, Greece

Hadi Susanto, University of Essex, Mathematical Sciences, United Kingdom

Makrina Agaoglou, Aristotle University of Thessaloniki, Mechanical Engineering, Greece

Abstract: An rf superconducting quantum interference device (SQUID) consists of a superconducting ring interrupted by a Josephson junction (JJ). When driven by an alternating magnetic field, the induced supercurrents around the ring are determined by the JJ through the celebrated Josephson relations. This system exhibits rich nonlinear behavior, including chaotic effects. Westudy the dynamics of a pair of parametrically-driven coupled SQUIDs arranged in series. We take advantage of the weak damping that characterizes these systems to perform a multiple-scales analysis and obtain amplitude equa- tions, describing the slow dynamics of the system. This picture allows us to expose the existence of homoclinic orbits in the dynamics of the integrable part of the slow equations of motion. Using high-dimensional Melnikov theory, we are able to obtain explicit parameter values for which these orbits persist in the full system, consisting of both Hamiltonian and non-Hamiltonian perturbations, to form so- called Silnikov orbits, indicating a loss of integrability and the existence of chaos.
Modeling study of magnetic phase transition in amorphous ultrathin films

Leonid Afremov, Far Eastern Federal University, Department of theoretical and experimental physics, Russian Federation

Aleksandr Petrov, Far Eastern Federal University, , Russian Federation

Abstract: There is magnetic ordering process to model in the approximation of the “average spin” in amorphous ultrathin films. The formalism of the model is based on the assumption that the interaction field of the spin magnetic moment with the nearest magnetic moments is distributed in a random manner. By replacing instantaneous values of the magnetic moments with the ensemble average values of the magnetic moments and using distribution function of the interaction fields, it is easy to derive equations determining the relative average magnetic moments in each film monolayer. It has been shown as a result of modeling study that the average magnetic moment, the critical temperature of the magnetic phase transition and critical concentration of percolation depends on the film thickness. As expected, the critical temperature of the magnetic phase transition increases with the number of monolayers and the critical concentration of the transition from an ordered state to a disordered decreases.
Percolation of interdependent networks with degree-correlated inter-connections

Akito Igarashi, Kyoto University, Department of Applied Mathematics and Physics, Japan

Tomohiro Kuse, Kyoto University, Department of Applied Mathematics and Physics, Japan

Abstract: Modern systems are constructed with multiple networks that are connected to each other. For example, electrical systems are constructed with the power grids and their communication support systems. In such a interdependent network, failure of nodes in one constituent network leads nodes in the other network to fail. This happens recursively and leads to a cascade of failures. It is known that the interdependent networks with random inter-connections have weaker robustness, {\it i.e.} tolerance to failures, than the individual networks. However, if the interdependent networks have degree correlations between the networks constructing them, the robustness of the interdependent networks may be changed. Since actual interdependent networks have some correlations, we investigate the effects of the correlations on the networks. A group that nodes mutually connected with several links is called a cluster and if the number of nodes in the cluster is large, the network is robust. We perform simultions for various ratios of the initial failure of nodes and evaluate the cluster sizes after the cascade of failures. We show that when a interdependent network has a positive degree correlation between two networks that construct it, it has the stronger robustness than that for the networks with no degree correlation. Moreover, as the result of the numerical simulation this system shows a percolation phase transition and the threshold is approximately a linear function of the correlation coefficient. Then, we show not only the numerical simulation results but theoretical ones for the robustness of the interdependent networks. The theory can be applied to the interdependent networks with any degree distributions and any inter-correlations. The theoretical results almost correspond to the numerical simulation results at any case.
Helical Disruptions in Small Loops of DNA

Marco Zoli, University of Camerino, , Italy

Abstract: Plasmids are small loops of DNA that live in bacteria and are replicated during cell division. The discovery of restriction enzymes (able to cut double stranded DNA) and ligase enzymes (able to join the ends of open DNA molecules) opened the way to the construction in vitro of new, biologically functional, plasmid species obtained by combining nucleotide base sequences of different origins. These researches [1] have marked the start of the era of recombinant DNA technologies which continues to this day [2]. In general, hydrogen bonds between base pairs on complementary strands can be broken by thermal fluctuations and temporary fluctuational openings along the double helix are essential to biological functions such as transcription and replication of the genetic information. I study these issues in some small DNA loops [3] by means of the path integral method [4] of theoretical physics. Helix unwinding and bubble formation patterns are computed in circular sequences with variable radius in order to analyze the interplay between molecule size and appearance of helical disruptions. In agreement with the experimental findings, base pair breakings are found with larger probability in the smallest minicircle of 66-bps whose bending angle is about 6 degrees. Fluctuational openings appear along the helix to release the stress due to the bending of the molecule backbone. The bubble probability profiles are compared to experimental data available for some minicircles [5]. The method can be generalized to determine the bubble probability profiles of open ends linear sequences. [1] S.N. Cohen et al. Proc. Nat. Acad. Sci. USA, vol. 70, 3240-3244 (1973). [2] D.A. Malyshev et al. Nature (2014), DOI: 10.1038/nature13314 [3] M. Zoli, The Journal of Chemical Physics, vol. 138, 205103 (2013). [4] M. Zoli, Journal of Theoretical Biology, vol. 354, 95-104 (2014). [5] M. Zoli, Soft Matter (2014), 10.1039/C3SM52953C
Pair correlation functions of FeAs-based superconductors: Quantum Monte Carlo study

Andrey Krasavin, NRNU MEPhI, Physics of Metrology, Russian Federation

Vladimir Kashurnikov, National Research Nuclear University MEPhI, Department of Physics of the Solid State and Nanoscaled Systems (№70), Russian Federation

Abstract: New iron-based high-temperature superconductors, both pnictides and chalcogenides, are now the subject of intense theoretical and experimental research. The presence of strong correlations, the multi-gap band structure, features of magnetic and superconducting properties, and the lack of expansion parameters for analytical approximations are the reason to use exact quantum methods for the study of iron-based HTSC. In the present work correlation functions of two-dimensional FeAs-clusters modeling iron-based superconductors are calculated with the generalized quantum Monte Carlo algorithm using the full two-orbital model. The data presented for clusters with sizes up to 10×10 FeAs-cells favor the possibility of an effective attraction of charge carriers corresponding the A1g-symmetry, at some parameters of interaction. The analysis of pair correlations depending on the cluster size, temperature, interaction, and the type of symmetry of the order parameter is carried out.
Current flow in the pseudo-gap percolation regime

Humberto Belich Junior, Universidade Federal do Espirito Santo, Departamento de Física (DFIS), Brazil

Carlos Augusto Cardoso Passos, University Federal of Espirito Santo, Physics, Brazil

Leandro Amorim, University Federal of Espirito Santo, Physics, Brazil

Julio S Espinoza Ortiz, Federal University of Goias , Physics, Brazil

Marcos Orlando, University Federal of Espirito Santo, Physics, Brazil

Abstract: We describe a regime of strong fluctuations (2 D) in the superconducting fluid (pseudogap) from the fluid percolation framework, using a resistor-conductor-network system as starting point. When a ceramics sample is cooled we have that, before the T_{c}, there is a decrease of possible paths that the electrical current may travel to cross the network, in trying to reach an optimum path. So that before reaching the critical temperature it occurs to strong fluctuations. The fluctuations disperse these pathways creating a transient current that looking for new ways to cross the sample. However as the temperature decreases these pathways become less effective to transport the electric current and then occurs a drop in the resistivity. This scenario configures the beginning of a superconductivity crossover at high T_{c} superconductor ceramics.
The numerical calculation of shear zone refraction’s law crossover the different stickiness sand

Keizo Yamamoto, Setsunan University, Faculty of Science and Engineering, Japan

Abstract: Shear zone refraction at the surface between two different stickness sand system are investigated by a numerical calculation. Our numerical model for sand system is one of the simplest sets in order to obtain a refraction pattern of shear, called as linear split-bottom cell. In this paper we give an analysis based on a classical numerical calculation for the above-mentioned system. In general a sand particle has a variety of forms from sphere to needle, but here we assume an ensemble of the simplest shape such as cubes in a rectangular parallel-pipe split into two halves. One of the halves in the rectangular parallel-pipe with split is moved along the split in one direction quasi-statically. We obtain a refraction pattern of shear like a line of electric force across the interface of different dielectric constants shown in the text and various quantities obtained from our calculation had been compared with experiments in preceding references. In this conference, we will show calculation results of the shear zone refraction’s law crossing over different materials in sand system.
Symmetry reduction of the (2+1)-dimensional dispersive water-wave system

Zhengyi MA, Lishui University, Department of Mathematics, China

Abstract: Through the standard truncated Painleve expansion of the (2+1)-dimensional dispersive water-wave system, the residual symmetry is localized in the properly prolonged system with the Lie point symmetry vector. Some different transformation invariances are derived through the obtained symmetries. At the same time, the symmetry of the equation is also derived utilizing the Clarkson-Kruskal direct method. From which, through solving the characteristic equations, several types of the explicit reduction solutions that related the trigonometric or hyperbolic functions are obtained. Finally, some special dromion solitons are depicted from one of the solutions.
Interactions between Polybrominated Diphenyl Ethers and Graphene-Based Material Surface

Chi-Man Lawrence Wu, City University of Hong Kong, Physics and Materials Science, Hong Kong

Ning Ding, Shandong Academy of Sciences, Key Laboratory for Applied Technology of Sophisticated Analytical Instruments, China

Abstract: As a type of low-dimensional nanomaterial, graphene and its derivates have drawn special interests in the areas of analytical and environmental chemistry. Due to its large surface area, unique chemical and thermal stability and high adsorption capacity, graphene has been explored as material to extract, remove, sense, and degrade pollution molecules. Understanding the adsorption behavior of chemical pollutant molecules on graphene-based material surface is of both fundamental and practical importance for the application of graphene in environmental analysis. Due to the limitation of experiments to investigate the interactions between various molecules and graphene, computational simulations have emerged as an efficient way to study the adsorption process. In this work, the mechanism and thermodynamics of adsorption of polybrominated diphenyl ethers (PBDEs) on graphene and metal-doped graphene surface were studied by density functional theory and molecular dynamics methods. Various types of PBDE molecules with different degrees of bromination and diphenyl ether (DE) molecule were selected as the adsorbates. It was found that the interaction strengths between the PBDE congeners and graphene show strong relation with the degree of bromination. The detailed adsorption properties of PBDEs on graphene and metal-doped graphene surface will be provided during the oral presentation. These findings will contribute toward the understanding of the adsorption chemistry of aromatic pollutant on graphene-based nanomaterials.
A Large Scale Molecular Dynamics Study to Assess the Efficiency of Finite Size Scaling in the Evaluation of Kirkwood-Buff integrals

Wynand Dednam, Universidad de Alicante, Fisica Aplicada, Spain

André E. Botha, University of South Africa, Physics, South Africa

Abstract: Solvation of bio-molecules in water is severely affected by the presence of co-solvent within the hydration shell of the solute structure. Furthermore, since solute molecules can range from small molecules, such as methane, to very large protein structures, it is imperative to understand the detailed structure-function relationship on the microscopic level. For example, it is useful know the conformational transitions that occur in protein structures. Although such an understanding can be obtained through molecular dynamic simulations, it is often the case that the desired simulations would require excessively large simulation times. In this context, Kirkwood-Buff (KB) theory, which connects the microscopic pairwise molecular distributions to global thermodynamic properties, together with the recently developed technique called finite size scaling, may provide a method to reduce system sizes, and hence also the computational times. In this paper, we present molecular dynamics trial simulations to compare two different methods of calculating the KB integrals for the solvation of methane in mixtures of methanol and water. The first method makes use of the traditional radial distribution function method, while the second employs the new finite size scaling method. We conclude that the latter method is more efficient since it produces results, using much smaller system sizes, that are equivalent in accuracy to those computed via the radial distribution functions.
Structural investigations of fat fractals using small-angle scattering

Eugen Anitas, Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics, Russian Federation

Abstract: Experimental small-angle scattering (SAS) data characterized, on a double logarithmic scale, by a succession of power-law decays with decreasing values of scattering exponents can be described in terms of fractal structures with positive Lebesgue measure (fat fractals). Here we present a theoretical model for fat fractals and show how one can extract structural information about the underlying fractal using SAS method, for the most common fractals existing in the literature: Cantor, Vicsek and Menger sponge. We calculate analytically the fractal form- and struture-factor and study their properties in momentum space. The model allows us to explain the succession of power-law decays and to obtain the main structural characteristics of the fat fractals: the edges of all the fractal regions, the fractal dimension and the scaling factor at each structural level inside the fractal.
Sufficient condition of solution uniqueness in TV minimization model for CT image reconstruction

Linyuan Wang, National Digital Switching System Engineering & Technological R&D Center, , China

Hongkui Liu, Faculty of Infrastructure Engineering, Dalian University of Technology, , China

Ailong Cai, National Digital Switching System Engineering & Technological R&D Center, , China

Bin Yan, National Digital Switching System Engineering & Technological R&D Center, , China

Lei Li, National Digital Switching System Engineering & Technological R&D Center, , China

Hanming Zhang, National Digital Switching System Engineering & Technological R&D Center, , China

Guoen Hu, National Digital Switching System Engineering & Technological R&D Center, , China

Abstract: Iterative image reconstruction with total variation (TV) minimization for computed tomography (CT), used for investigations in compressive sensing (CS) claim potentially large reductions in sampling requirements. However, the sufficient view number in sparse-view reconstruction is ill-defined for any image or a fixed one. In this paper, a method is proposed to obtain and verify the sufficient condition of solution uniqueness in TV minimization for reconstructing a fixed image. In this method, the TV minimization model is transformed into a standard l1-norm minimization problem; the sufficient condition of unique solution is obtained according to the necessary and sufficient conditions of solution uniqueness in l1 minimization, and the main part is verified by solving a linear program. Based on this method, the smallest number of projection views meeting the sufficient condition can be obtained for a fixed reconstructed image and predefined system matrix, and these results are helpful for sampling condition analysis and TV minimization reconstruction from real data.
Coherent interactions in nonlinear multilevel media.

Emil Gazazyan, Institute for Physical Research, Theoretical physics, Armenia

Abstract: Coherent interaction of light signals with quantum systems have been attracting considerable interests for their importance in both fundamental science and practical applications. A prominent example of coherent interactions is electromagnetically induced transparency (EIT), which allows controlled manipulations of the optical properties of atomic or atom-like media via strong coupling of a near-resonant optical signal field and collective long-lived ensemble spin by means of a strong classical optical control field. Constructing desired coherent superposition states of atoms interacting with laser pulses in macroscopic media is one of key problems in quantum informatics and related topics. In descriptions of quantum superposition states and their manipulation by laser pulses the relevant equations, in particular, the time-dependent Schrödinger equation, may involve numerous controllable connections (linkages) between quantum states, and the resulting dynamics can turn to be correspondingly complicated. The report presents detailed numerical investigation of the dynamics of propagation of strong laser pulses and the properties of coherent interactions in nonlinear multilevel media. We propose a relatively simple calculation technique, based on the method of quasienergies, which allows describing controllable population transfer, electromagnetically induced transparency, and group velocity of light, in particular, light storage and retrieval. For visualization, we demonstrate these effects in media of fife level atomic systems.
Simulation of general Physics laboratory exercise

Pilar Aceituno, Universidad de la Laguna, Departamento de Fisica, Spain

Javier Hernandez-Aceituno, Universidad de La Laguna, Departamento de Ingenieria Informatica, Spain

Antonio Hernandez-Cabrera, Universidad de la Laguna, Departamento de Fisica, Spain

Abstract: Laboratory exercises are an important part of general Physics teaching, both during the last years of high school and the first year of college education. Due to the need to acquire enough laboratory equipment for all the students, and the widespread access to computers rooms in teaching, we propose the development of computer simulated laboratory exercises. A representative exercise in general Physics is the calculation of the gravity acceleration value, through the free fall motion of a metal ball. Using a model of the real exercise, we have developed an interactive system which allows students to alter the starting height of the ball to obtain different fall times. The simulation was programmed in ActionScript 3, so that it can be freely executed in any operative system; to ensure the accuracy of the calculations, all the input parameters of the simulations were modeled using digital measurement units, and to allow a statistical management of the resulting data, measurement errors are simulated through limited randomization.
A modified Transfer Matrix Approach to include Zeeman spin splitting in dispersion relations for coupled quantum wells

Antonio Hernandez-Cabrera, Universidad de la Laguna, Departamento de Fisica, Spain

Pilar Aceituno, Universidad de la Laguna, Departamento de Fisica, Spain

Abstract: In our work, we calculate the dispersion relations for InGaAs-InAlAs based double quantum wells (narrow gap structures). We have developed an improved 4×4 version of the Transfer Matrix Approach, considering contributions from external fields when tunneling through central barrier exists. The transverse electric field is necessary to reach the resonance of electronic levels in asymmetric structures. The in-plane magnetic field induces the Zeeman effect and the spin splitting of the resonant levels. We have also included abrupt barrier effects due to the nature of the interfaces between the above materials.
Modeling and optimizing the design of matrix treatments in carbonate reservoirs with self-diverting acid systems

Bulgakova Guzel Talgatovna, Ufa State Aviation Technical University, mathematics, Russian Federation

Abstract: Recently, self-diverting acid systems based on viscoelastic surfactants (SDVAs) have been successfully used for carbonate matrix acidizing. The laboratory experiments made it possible to determine the physical−chemical parameters needed for adjusting the mathematical model of the layered heterogeneous carbonate reservoir treatment with SDVA fluids. The developed empirical model describes the dependence of surfactant-based acid viscosity upon the acid concentration during chemical reactions. The model is consistent with the experimental data and describes the key features of SDVA rheology: maximum viscosity increases from the reference value, and the behavior is controlled by the acid injection rate. The laboratory experiments on physical process modeling confirmed the correctness of the proposed carbonate dissolution model under SDVA treatment. On the basis of the results, we adjusted the model of acidizing water-saturated carbonate cores using SDVA. The mathematical model of carbonate rock dissolution by SDVA allowed for the simulation of acid treatment in the core scale. The simulation results are very consistent with the laboratory observations of pressure gradient behavior in core samples. The constructed mathematical model of carbonate treatment with SDVA is based on the laws of physical and acid−carbonate interactions and laboratory observations. It can be used for the design and optimization of well-acidizing reactions for a wide range of reservoirs and reservoir fluids.
Theoretical Study on Dimerization of some Chromophores serving in Nonlinear Optics

Derrar Siham Naima, Laboratoire de Microscopie, Microanalyse de la matiere et Spectroscopie Moleculaire, Chemistry, Algeria

Abstract: Active materials in nonlinear optics (NLO) are used in several components such as photoconductor films, modulators, directional couplers...etc [1]. Nonlinear optical property is, mainly, detected through the strength of the first hyperpolarizability β magnitudes. The concerned compounds serving as devices for nonlinear optics should be noncentrosymmetrics, and the following equation should be respected μi = μi0 + αijEj + βijkEjEk + γijklEjEkEl + …. where μi0 is the dipole moment of the unperturbed molecule, αij is the linear polarizability, βijk and γijkl are the first and the second hyperpolarizabilities, respectively. Push/pull type chromophores, holding electron donor and electron acceptor linked by a π-conjugated spacer, present interesting nonlinear optical properties. For this purpose, we have been interested in studying several properties of some monomers and dimers of 4-hydroxy, 4’-cyanoazobenzene chromophore by quantum mechanics. Dimerization has been introduced in several manners, and different β(0) values have been recorded with regard to the chromophores positions. Geometry optimization in gas phase and β(0) calculations have been performed at B3LYP/6-31+G(d,p) HF/6-311+G(d) levels of theory, respectively. Gaussian03 program package has been used. On the other hand, after having previously reported a series of covalently grafted push/pull molecules on copolymeric chains [2], we scrutinize here the effect of introducing such type of chromophores in a polymeric matrix. In this optic, we carried out a theoretical study on the dimerization of the above-cited chromophore with some vinylic and styrenic oligomers. It has been found that adding these push/pull compounds to the oligomer entities enhances drastically their β(0). [1] J. Zyss, Molecular Nonlinear Optics; Academic Press: Boston, 1994. [2] S. N. Derrar, M. Sekkal-Rahal, K. Guemra and P. Derreumaux, Int. J. Quant. Chem. 112 (2012) 2735-2742.
Multilayer silicene on Ag(111)

Paola De Padova, Consiglio Nazionale delle Ricerche-Istituto di Struttura della Materia, , Italy

Abstract: Thick epitaxial multilayer silicene is grown on Ag(111) surface [1 -3]. At low growth temperature (∼ 470 K) we form the multilayer silicene [1 -3], the silicon analogue of multilayer graphene, with a honeycomb √3×√3R(30°) reconstruction, after the initial formation of the pure 4×4 reconstructed, silicene wetting layer. On the contrary, the growth of Si at higher substrate temperature (~570 K) yields an instable √13×√13 ± R13,9° in addition to the 4×4 reconstruction, which naturally evolves towards a 2√3×2√3 R30° phase thorough a Si-Ag atoms intermixing and thickness growth competition process. We mapped the entire Brillouin zone (BZ) of √3×√3R(30°) reconstructed epitaxial multilayer silicene terraces, by angle-resolved photoemission spectroscopy, showing states with linear dispersion related to π and π* bands of massless quasiparticles of multilayer silicene. Thick epitaxial multilayer silicene films are unaffected by oxygen exposure up to 1×1010 L (1L=1.33 10-6 mbar × 1 s) in UHV, whereas only weak surface oxidation after 24 hours in air was detected by Auger electron spectroscopy [4]. Ex-situ x-ray diffraction as well as Raman spectroscopy performed, without any protective capping, showed the 002 silicene reflection and the G, D and 2D Raman structures, which can be considered the fingerprints of silicene multilayer. We have used low energy electron diffraction and Auger electron energy spectroscopy to follow the formation and the stability of silicene layers on Ag(111). The structure stability of the multilayer √3×√3R(30°) silicene is found up to ∼ 670 K. These results are of fundamental importance for exploiting silicene in the existing silicon based device technology. 1 P. De Padova et al., Appl. Phys. Lett. 102, 163106 (2013). 2 P. De Padova et al., , J. Phys. : Condens. Matter, Fast Track Commun. 25, 382202 (2013). 3 P. De Padova et al., Nano Lett. 12, 5500 (2012). 4 P. De Padova et al., submitted paper.
Soft X-Ray Spectroscopy and the Hunt for Two-Dimensional Silicon

Alexander Moewes, University of Saskatchewan, Department of Physics & Engineering Physics, Canada

Abstract: When the (3×3)/(4×4) superstructure of epitaxial silicene on Ag(111) was first reported [1], angle-resolved photoelectron spectroscopy (ARPES) measurements were interpreted as suggesting a “Dirac cone”-like electronic structure with a small gap opening. Such an electronic structure would imply that these epitaxial silicene sheets are good candidates for exploiting the electronic properties of a truly two-dimensional system. Subsequent ARPES experiments and density functional theory (DFT) bandstructure calculations seemed to suggest that the silicene monolayer is actually metallic in nature due to interactions with the underlying Ag substrate [2-5], but there still exists some controversy over the correct interpretation of these measurements [6,7] and therefore the true nature of epitaxial silicene on Ag(111). We perform DFT calculations of (3×3)/(4×4) and (√7×√7)/(√13×√13) epitaxial silicene monolayers on Ag(111). We find that all of these superstructures are inherently metallic and identify the interactions that are responsible for this metallic nature. Our calculations are confirmed by Si L2,3 edge soft X-ray Absorption and Emission Spectroscopy (XAS and XES) performed at the Canadian Light Source’s REIXS beamline [8]. These complementary techniques provide an unambiguous, element-specific way to probe the bandgap (or lack thereof) of 2D materials. We extend the same experimental treatment to epitaxial silicene multilayers on Ag(111), which have been suggested as possible Dirac cone hosts based on ARPES measurements [9-11]. Here, we see strong evidence for sp3 hybridization dominating the signal of bilayers and thicker multilayers in the XES spectra of these materials. Our result suggests that these multilayers are composed of a base monolayer that is strongly bonded to the Ag substrate, with bulk-like Si tetrahedra stacked on top. This multilayer configuration is strongly suggestive of a 3D material, indicating that we should explore alternate substrates in the search for 2D silicon. [1] P. Vogt et al., Phys. Rev. Lett. 108 15501 (2012). [2] D. Tsoutsou et al., Appl. Phys. Lett. 103 231604 (2013). [3] S. Cahangirov et al., Phys. Rev. B 88 035432 (2013). [4] Z.-X. Guo et al., Phys. Rev. B 87 235435 (2013). [5] Y. Yuan et al., J. Phys. E 58 38 (2014). [6] S. Huang et al., Appl. Phys. Lett. 102 133106 (2013). [7] J. Avila, J. Phys.: Condens. Matter 25 262001 (2013). [8] N.W. Johnson et al., (accepted for Adv. Func. Mat.). [9] P. De Padova et al., J. Phys.: Condens. Matter 25 382202 (2013). [10] P. De Padova et al., Appl. Phys. Lett. 102 163106 (2013). [11] P. Vogt et al. Appl. Phys. Lett. 104 021602 (2014).
Asymptotic saturation of mode frequency for the magnetorotational instability in resistive plasmas

Francisco Eugenio Mendonça da Silveira, Universidade Federal do ABC, , Brazil

Abstract: Resistive effects are investigated on the magnetorotational instability. The main modifications with respect to the approach to the problem in the ideal limit are the introduction of the diffusive term in the induction equation and of the decay time T of the velocity field perpendicular to the magnetic field in the dispersion relation. As a result, when resistive effects are strong, it is shown that the instability condition in the ideal limit is corrected by the coefficient (κ^2)(T^2), where κ denotes the epicyclic frequency. The proposed formulation is then applied to the description of the instability for a Keplerian disk and it is found that the characteristic frequency of the unstable modes saturates asymptotically to a finite value which does not depend on the distance from the central object and is fully determined by the resistivity of the disk.
Simulating CC and MLO compressions with the Surface Evolver

Marcelo Zanchetta do Nascimento, Federal University of Uberlândia, FACOM, Brazil

Abstract: Mammographies are X-ray images of the breast under external compressions called Craniocaudal (CC) and Mediolateral Oblique (MLO). Together they increase the chances of detecting cancer but the breast is shown in strongly deformed shapes. Cancer location is highly uncertain for the surgery and so the breast is commonly taken out entirely, a serious trauma for the patient. In this paper we present a fully virtual mammography procedure that faithfully reproduces all shapes of the breast and in its inside tracks the cancer at any step. The cancer is then precisely located for the surgery and can be removed through a small incision. So the whole structure is preserved and cured as an integral benefit to the patient.
Parallelization of shadow projection in synthetic three-dimensional scenes

Javier Hernandez-Aceituno, Universidad de La Laguna, Departamento de Ingenieria Informatica, Spain

Abstract: The generation of projected shadows in synthetic three-dimensional scenes is a complex procedure which, because of its computational cost, has yet to be perfected. In this work, we present an algorithm that simplifies this process using the basic three-dimensional geometry of three elements: a point cloud which defines the object that casts the shadow, the position of the light source, and a projection plane. Shadows are generated as irregular poligons with as many vertices as the size of their corresponding generative point cloud. The parallelization potential of the resulting algorithm is then studied for real-time applications.
Interaction of spatial solitons with a gapless stripe embedded into a Bragg-grating area

Thawatchai Mayteevarunyoo, Mahanakorn University of Technology, Telecommunication Engineering, Thailand

Boris Malomed, Tel Aviv University, Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Israel

Abstract: It is well known that nonlinear planar waveguides carrying a uniform Bragg grating give rise to a family of gap solitons, both straight and tilted ("moving") ones. We introduce a model in which the grating is absent in a finite-width stripe in the waveguide, thus creating a gapless channel in the gapped medium. The two semi-infinite grating separated by the plain stripe may have a relative phase shift. This system modifies the Bragg bandgap, creating intra-gap trapped modes which are pinned to the gapless channel. Solutions for the trapped modes in the linear system are found analytically. Further, numerical analysis of the full nonlinear system demonstrates that the shape of Bragg solitons and their stability are also strongly affected by the presence of the gapless channel, and by the possible phase shift between the two semi-infinite gratings. In particular, asymmetric and flat-top solitons appear. We identify stability regions of straight solitons pinned to the gapless stripe Interactions ("collisions") of tilted ("moving") gap solitons with the gapless stripe are also studied, by means of direct simulations. The results demonstrate possibilities to control the shape and stability of spatial gap solitons by means of two parameters, the width of the gapless channel, and the size of the phase shift between the two gratings separate by the channel.
Kinematics and Simulation of a Hybrid Mechanism: Matlab / Simmechanics

Mehmet KUTUK, University of Gaziantep, Mechanical Engineering, Turkey

Recep HALICIOGLU, University of Gaziantep, Mechanical Engineering, Turkey

Lale DULGER, University of Gaziantep, Mechanical Engineering, Turkey

Abstract: Researches are directed their interests to hybrid driving systems in recent years. The main principle in hybrid driven systems is to use the conventional motors with a flywheel and the servo motors via a mechanical linkage mechanism. A 2DOF (degree of freedom) link mechanism is driven by a combined input; an ordinary motor with a mechanism coupled to a servo motor adjusting ram motion. While ordinary motor provides high torque, servo motor performs the desired motion scenarios. This is presented as an example in flexible manufacturing systems under the assumption of power optimization which is important for selection of useful mechanism. The hybrid systems include the advantages of both driving systems. As the existence of conventional motor is to obtain power and torque requirement, servo motor is used to make system as a flexible motion provider. Kinematic analysis and simulation of hybrid drive system are addressed in this study. A seven link mechanism with two degrees of freedom is selected as the configuration of the system. Kinematic analysis is performed by loop closure equations and required inputs of servo motor are given to get desired ram motion scenarios. MATLAB/Simmechanics platform is used to model the hybrid driven mechanical system containing its actuators and mechanism characteristics. The simulation results are presented herein.
Weak interaction between two incompressible wakes

José Ignacio Hernández Lopez, Presbiterian Mackenzie University, Mechanical Engineering, Brazil

Abstract: In this work we construct a weak assimptotical interaction between two wakes for an incompressible flow around two side by side circular cylinders. Using the perturbation theory, a theoretical relation between the strouhal number, the cylinder separation number, the Reynolds number and the Landau coefficients in the nonlinear regime (neighbourhood of Andronov-Hopf bifurcation) is derived.
Tunneling times for a double-barrier point potential

Luiz A. Manzoni, Concordia College, Physics, United States

José Lunardi, State University of Ponta Grossa, Mathematics & Statistics, Brazil

Molly Lee, Concordia College, Physics, United States

Erik Nyquist, Concordia College, Physics, United States

Abstract: We consider the scattering of a non-relativistic particle by a double-barrier in one-dimension, with the barriers given by the well-known four-parameter family of point interactions (which can be obtained either by the self-adjoint extensions or by a distributional approach). We calculate the phase time and the stationary Salecker-Wigner-Peres (SWP) clock time for the general barriers and consider the opaque limit for the particular cases of the δ and δ’ potentials. We show that while the phase time presents the generalized Hartman effect, the stationary SWP clock time presents no evidence of such an effect.
Instabilities and Solitons in Long Range Oscillator Chains

Ramaz Khomeriki, Javakhishvili Tbilisi State University, Department of Physics, Georgia

Abstract: Soliton existence and propagation in long-range extension of quartic Fermi-Pasta-Ulam (FPU) chain of anharmonic oscillators has been investigated. We introduce long-range couplings in linear terms, while nonlinear terms are kept short range. It is found that due to the non-analytical nature of long-range dispersion relation low frequency localizations - kink-solitons, characterizing conventional short-range FPU chains, can not be created. However, the high frequency modes can form the envelope solitons which show to be robust while propagation process. The parameters of these solitons are analytically computed and the correspondence with the results of numerical experiments has been checked.
A mathematical recursive model for accurate description of the phase behavior in the near-critical region by Generalized van der Waals Equation

Jibeom Kim, Dongguk Univ., Fusion Energy and Advanced Materials Engineering Dept., Korea, Republic Of

Joonhyeon Jeon, Dongguk University-Seoul, Department of Energy and Advanced Material Engineering, Korea, Republic Of

Abstract: The estimation of equilibrium phase behavior of complex mixtures over broad temperature and pressure ranges is an important problem in chemical process design. Major research has been conducted in these phase equilibria studies, whereby an Equation Of State (EOS), which is a thermodynamic equation describing the state of matter under a given set of physical conditions, has been established by van der Waals. The van der Waals EOS has made significant contributions to the development of novel EOS models, namely, Peng-Robinson (PR), Modified Peng-Robinson (MPR) and Modified Redlich-Kwong (MRK). These famous EOS models were universally used in calculating fluid thermodynamic properties due to their simple form, few parameters and analytical solutions. However, their simplified original forms had limited applicability due to their inaccurate liquid densities, poor representations in the near-critical region and unreliability for fluids with large molecules. In our previous work, it has been reported that a generalized van der Waals (GvdW) accurately reproduces the experimental pressure data in and beyond the critical region as the molecular size of the n-alkanes increases. GvdW has a highly simplified Dieterici's form of P = [RT/(V-b)]-a(b/V)c that is realized by a new model potential construction that describes intermolecular interactions. On the basis of the model potential construction, it is shown that the parameters a, b, and c have physical interpretations as an internal pressure, a void volume, and a dimensionless value that represents an inharmonic intermolecular cell potential, respectively. However, there still remains a problem of determining these parameters to minimize a loss of accuracy in describing saturated vapor densities and vice versa. Recently, related studies have reported that GvdW shows poor representations in the near-critical region of pure fluid substances with non-polar molecules of non-sphere shape. For some reason, there is controversy as to whether GvdW can accurately represent saturated fluid densities of these components in the near-critical region. Hence, the mathematical model of exactly calculating three parameters of GvdW is needed for the estimation of equilibrium phase behavior in describing fluid phase behavior This paper describes a recursive model determining the three parameters of GvdW for accurate representation of pure fluid materials in the near critical region. For the performance evaluation of GvdW in the near critical region, MPR and MRK are also applied together to four pure molecules: alkane (linearity), alkene (aliphatic hydrocarbon with double bond), alkyne (unsaturated hydrocarbon with triple bond) and amine (dipole moment). The comparison results show that in the near-critical region, GvdW provides much more accurate and reliable predictions of pressure than the other EOS models. Especially, it is found that GvdW accurately reproduces the experimental pressure data in the critical point. The calculating model of EOS through this approach gives an additional insight into the physical significance of accurate prediction of pressure in the near-critical region.
MATHEMATICAL MODELING OF A WATER-IN-OIL EMULSION DROPLET BEHAVIOR UNDER THE MICROWAVE IMPACT

Yulia Fatkhullina, Bashkir State University, Institute of Physics and Technology, Russian Federation

Abstract: The formation of high stability of water-in-oil emulsions is one of the negative factors in extracting and processing of oil, it’s preparation and transportation, as well as liquidation/recycling of oil-sludge barns. The usage of microwave radiation is one of the perspective methods for the destruction of water-in-oil emulsions. The problem of microwave electromagnetic radiation impact on a single water-in-oil droplet is considered. The system of heat equations within the droplet and in the surrounding liquid, incompressible Navier-Stokes equations within the droplet and in the surrounding liquid, and equation of state are considered. The drop has the shape of a sphere which does not change in time. The formulated problem is solved numerically using TDMA (Tri-diagonal-matrix algorithm), SIMPLE algorithm and VOF method (volume of fluid method for the dynamics of free boundaries) in Euler coordinates. The results in the form of the dependence of the temperature within the droplet and in the surrounding liquid on the time of microwave impact and streamlines thermal convection are represented; dependence of the velocity of droplet’s moving on the power of the of the microwave impact is shown. The obtained results can help to establish criteria for the efficient applicable of the microwave method for the water-in-oil emulsions destruction.
An interactive programme for weighted Steiner trees

Marcelo Zanchetta do Nascimento, Federal University of Uberlândia, FACOM, Brazil

Abstract: We introduce a fully written programmed code with a supervised method for generating weighted Steiner trees. Our choice of the programming language, and the use of well-known theorems from Geometry and Complex Analysis, allowed this method to be implemented with only 764 lines of effective source code. This eases the understanding and the handling of this beta version for future developments.
Prediction of new 2D materials: after graphene and silicene, now a hint of germanene synthesis

Maria Davila, Instituto de Ciencia de Materiales de Madrid, Nanostructures and Surfaces, Spain

Lede Xian, Nano-Bio Spectroscopy, Departamento de Fisica de Materiales, Unidad de Materiales Centro Mixto CSIC-UPV/EHU, Universidad del Pais Vasco, Avd. Tolosa 72, E-20018 Donostia, , Spain

Seymur Cahangirov, Nano-Bio Spectroscopy, Universidad del Pais Vasco, Fisica de Materiales, Spain

Angel Rubio, Nano-Bio Spectroscopy, Departamento de Fisica de Materiales, Unidad de Materiales Centro Mixto CSIC-UPV/EHU, Universidad del Pais Vasco, Avd. Tolosa 72, E-20018 Donostia, , Spain

Guy Le Lay, CNRS-PIIM UMR, AIX-MARSEILLE UNIVERSITY, France

Abstract: Theoretical calculations by Kyozaburo Takeda and Kenji Shiraishi [1] predicted 20 years ago the possible existence and properties of 2D- new materials, later called : graphene, silicene and germanene. For the experimental discovery of graphene in 2004, Andrei Geim and Konstantin Novoselov were awarded the Nobel Prize in Physics; since then, many experiments by the international community developed different forms of preparation and isolation of this material and their use in nanoelectronic devices. Later, the discovery of silicene by a team of researchers from Germany, Italy and France, with Drs Patrick Vogt, Paola de Padova and Prof. Guy Le Lay occured in 2012 [3]. In the last two years, scientists around the world have demonstrated that this material can be obtained on a few substrates. Now, we will show evidence of the two-dimensional epitaxial growth of germanium in in a honeycomb arrangement, most likely, single layer germanene, a novel synthetic germanium allotrope that does not exist in nature [4]. If true, this will complete the theoretical predictions presented years ago, offering 2D-new materials with exciting properties, with the potential to replace the silicon based traditional CMOS for a number of electronic applications. GLL gratefully acknowledge financial support from the “2D-NANOLATTICES" project of the Future and Emerging Technologies (FET) program within the 7th framework program for research of the European Commission under FET Grant No. 270749. L.X., S.V. and A.R. acknowledge financial support from the European Research Council Advanced Grant DYNamo (ERC-2010- AdG-267374), Spanish Grant (FIS2010-21282-C02-01), Grupos Consolidados UPV/EHU del Gobierno Vasco (IT578-13), Ikerbasque and the European Commission projects CRONOS (Grant number 280879-2 CRONOS CP-FP7). [1] K. Takeda and K. Shiraishi, Phys. Rev. B 50, 14 916 (1994) [2] K.S. Novoselov, A.K. Geim ,S.V. Morozov, D. Jiang , Y. Zhang, S.V. Dubonos, I.V. Grigorieva, A.A. Firsov, Science 306, 666 (2004) [3] P. Vogt,, P. De Padova, C. Quaresima, J. Avila, E. Frantzeskakis, M.C. Asensio, A. Resta, B. Ealet and G. Le Lay PRL 108, 155501 (2012) [4] G. Le Lay et al., to be published
Crank-Nicholson method for rate equations in powder random lasers

Begoña García-Ramiro, University of the Basque Country, Applied Mathematics, Spain

M. Asunción Illarramendi, University of the Basque Country, Applied Physics I, Spain

Joseba Zubia, University of the Basque Country, Communications, Spain

Abstract: In this work, we show the resolution of the rate equations in powder random lasers by using the Crank-Nicholson finite difference method. Light propagation in our powders is described by the model of light diffusion. The generalized time-dependent random laser equations describing our system are formed by three differential coupled equations: two diffusion equations for the pump and emitted light and a rate equation for the density of the dopant molecules in the excited state. The Crank-Nicholson method is widely used to obtain numerical approximations to the diffusion equation due to its accuracy and unconditional stability. The system has been solved for two pumping schemes (one-photon and two-photon excitation) and for a wide range of temporal incident pulses (from femtoseconds to nanoseconds). The theoretical calculations are in good agreement with the experimental results.
Choice of parameter of model in the method of Prony

Maltseva, Institute for Physics Southern Federal University, , Russian Federation

Abstract: With use of the method of Prony which has found recently wide application in various areas of a science and engineering technology, the way of definition of an order of the model is proposed, allowing to exclude false solutions of an equation to search coordinates of a signal source.
Network embedding by ncMCE for link prediction in protein interaction networks

Timothy Ravasi, KAUST, , Saudi Arabia

Abstract: Most functions within the cell emerge thanks to protein–protein interactions (PPIs), yet experimental determination of PPIs is both expensive and time-consuming. PPI networks present significant levels of noise and incompleteness. Predicting inter- actions using only PPI-network topology (topological prediction) is difficult but essential when prior biological knowledge is absent or unreliable. Network embedding emphasizes the relations between net- work proteins embedded in a low-dimensional space, in which protein pairs that are closer to each other represent good candidate inter- actions. To achieve network denoising, which boosts prediction per- formance, we first applied minimum curvilinear embedding (MCE), and then adopted shortest path (SP) in the reduced space to assign like- lihood scores to candidate interactions. Furthermore, we introduce (i) a new valid variation of MCE, named non-centred MCE (ncMCE); (ii) two automatic strategies for selecting the appropriate embedding dimen- sion; and (iii) two new randomized procedures for evaluating predictions. We compared our method against several unsupervised and supervisedly tuned embedding approaches and node neighbourhood techniques. Despite its computational simplicity, ncMCE-SP was the overall leader, outperforming the current methods in topological link prediction.
Stochastic approach to the numerical solution of the non-stationary Parker’s transport equation

Anna Wawrzynczak, Siedlce University, Institute of Computer Sciences, Poland

Abstract: We present the newly developed non-stationary model of the galactic cosmic ray (GCR) particles transport in the heliosphere. Mathematically Parker transport equation (PTE) describing non-stationary transport of charged particles in the turbulent medium is of the Fokker-Planck type. It is the second order parabolic type 5-dimensional (3 spatial coordinates, particles energy/momentum versus time t) partial differential equation. It is worth to mention that, if we assume the stationary case ($\partial f/\partial t =0$) it remains as the 3-D parabolic type problem with respect to the energy E, next, if we fix the energy ($\partial f/\partial E=0$) it still remains as the 3-D parabolic type problem with respect to time. The proposed method of numerical solution is based on the solution of the system of stochastic differential equations (SDEs) being equivalent to the Parker’s transport equation (PTE). We present the method of deriving from PTE the equivalent SDE’s for the forward and backward equations in the heliocentric spherical coordinate system. The SDE’s are solved using different Monte Carlo techniques. The stochastic model’s results are compared with the experimental data. The advantages and disadvantages of the forward and the backward solution of the PTE are discussed.
A hybrid architecture for alert correlation in collaborative intrusion detection system

Vinicius Vassoler Galhardi, Universidade Estadual Paulista "Júlio de Mesquita Filho", , Brazil

Vinicius Ferreira, Universidade Estadual Paulista "Júlio de Mesquita Filho", , Brazil

Adriano Ribeiro, Universidade Estadual Paulista "Júlio de Mesquita Filho", , Brazil

Raphael Silva, Universidade Estadual Paulista "Júlio de Mesquita Filho", , Brazil

Carlos Valêncio, Universidade Estadual Paulista "Júlio de Mesquita Filho", , Brazil

Alex Pinto, Universidade Estadual Paulista "Júlio de Mesquita Filho", , Brazil

Adriano Cansian, Universidade Estadual Paulista "Júlio de Mesquita Filho", , Brazil

Abstract: The growth of the Internet has brought with it an exponential increase in the cyber attacks. Therefore, many intrusion detection methodologies have been researched along the years. The use of these different methodologies in a collaborative way can provide more efficient results in detecting such cyber attacks. This paper addresses the difficulties encountered in this area and presents a hybrid distributed architecture, allowing a multilevel correlation of alerts generated by the integrated methodologies. The result was a significant reduction in the number of redundant or irrelevant alerts, making the analysis easier. Furthermore, the proposed architecture provides a decrease in the amount of messages exchanged between the collaborative systems by means of a selective algorithm, thereby contributing to the reduction of traffic generated in the network.
Silicene, germanene and tinene: Modeling of IR absorbance and topological states

Friedhelm Bechstedt, Friedrich-Schiller-Universitaet Jena, , Germany

Abstract: The graphene-like but Si-, Ge- or Sn -derived group-IV honeycomb crystals [1] have attracted much attention due to their unique properties and their (or their functionalized) realization in recent experiments [2]. We study such electronic and optical properties by means of ab initio electronic-structure calculations. The conical linear bands seems to survive in the case of weak [3] but also strong [2] adsorbate-substrate interaction. These bands have enormous consequences for the properties. Independent of the group-IV element and the degree of hybridization a universal absorbance ruled by the Sommerfeld finestructure constant appears [4,5]. This result is however influenced by spin-orbit coupling (SOC), which opens a fundamental gap [1]. SOC also plays an important role for germanene andd tinene nanoribbons. Topological edge states appear, if the edges are non-magnetic [6]. [1] L. Matthes, J. Phys. CM 25, 395305 (2013) . [2] P. Vogt, PRL 108 , 155501 (2012). [3] S. Kokott, pss RRL 7, 538 (2013). [4] F. Bechstedt, APL 100, 261906 (2012). [5] L. Matthes, PRB 87, 035438 (2013). [6] L. Matthes, PRB (submitted)
Hierarchy of solutions of the NLS equation and multi-rogue waves.

Gaillard Pierre, Université de Bourgogne, Institut de Mathématiques de Bourgogne, France

Abstract: The solutions to the one dimensional focusing nonlinear Schrödinger equation (NLS) is given in terms of determinants. The orders of these determinants are arbitrarily equal to 2N for any nonnegative integer N and generates a hierarchy of solutions which can be written as a product of an exponential depending on t by a quotient of two polynomials of degree N(N+1) in x and t. These solutions depend on 2N-2 parameters and can be seen as deformations with 2N-2 parameters of the (analogue) Peregrine breather PN : when all these parameters are equal to 0, we recover the PN breather whose the maximum of the module is equal to 2N+1. Several conjectures about the structure of the solutions are given.
Soliton dynamics in complex potentials

Yannis Kominis, National Technical University of Athens, School of Applied Mathematical and Physical Science, Greece

Abstract: Soliton propagation dynamics under the presence of complex potentials are studied. A large variety of qualitatively different potentials, including periodic, semi-infinite periodic and localized potentials, is considered. The role of symmetry is investigated in terms of its effect on soliton dynamics. The rich set of dynamical features of soliton propagation, including dynamical trapping, periodic and non-periodic soliton mass variation and non-reciprocal scattering dynamics, are systematically investigated with the utilization of an effective particle phase space approach. Results of the utilized perturbation method are shown in remarkable agreement with direct numerical simulations. The generality of the results enables the consideration of potential applications where the spatial profiles of gain and loss are appropriately designed in order to provide controlled soliton dynamics.
Bundle structures of stretching-energy and nonlinear interactions among modes in elastic wave turbulence

Masanori TAKAOKA, Doshisha University, Mechanical Engineering, Japan

Naoto YOKOYAMA, Kyoto University, Aeronautics and Astronautics, Japan

Abstract: Elastic wave turbulence , which is governed by the F\"{o}ppl-von K\'{a}rm\'{a}n equation, has been studied theoretically, numerically and experimentally, and exhibits various energy spectra in statistically steady states. In our previous work [PRL110, 105501 (2013), PRE89, 012909 (2014)], we have successfully reproduced the variability of the energy spectra by changing the magnitudes of external forces systematically. Coexistence of the weak and strong turbulence spectra has been found, and the analytical expression of the separation wavenumber between them has been proposed and numerically validated for various values of parameters. Recently [submitted to PRE], we analyzed energy budget by using energy decomposition that is enabled by a single-wavenumber representation of nonlinear energy spectrum. All the above analyses were done in the Fourier space. In this talk, we will report properties of wave turbulence in the real space. We find that the bundle structures of ridges appear intermittently in the time evolution of the stretching-energy field, which suggests the existence of active and moderate phases. Based on the results of conditional sampling, we will discuss the relation between the real space dynamics and the nonlinear interactions among modes.
Modeling Mild Collisions

I-Sheng Yang, University of Amsterdam, Physics, Netherlands

Abstract: It is a surprisingly common phenomenon that two objects collide with each other and emerge only mildly altered. We motivate a dynamics-independent, analytical framework to study these mild collisions through two specific examples: (1) Head-on collision between two non-integrable solitons, and (2) Gravitational self-interaction for a collapsing shell of radiation.
Investigation of non-linear transformations of signal spectrum.

Alexander Kosarev, Saint Petersburg Polytechnical University, , Russian Federation

Apushkinskiy, St.Petersburg State Polytechnical University, , Russian Federation

Pavel, Saint-Petersburg Polytechnical University, , Russian Federation

Kirill Maximov, Saint Petersburg Polytechnical University, , Russian Federation

Ekaterina, Saint-Petersburg Polytechnical University, , Russian Federation

Abstract: We consider various echo-processes having different nature and discuss their mathematical models based on special nonlinear transformations in the spectral domain. It is shown that the presence of power polynomial in the spectral domain results in a delay of the external perturbation (signal). The correspondence between the degree of nonlinearity and arising delayed signals is established. The coincidence of numerical results with the experimental data is demonstrated for several external signals.
Variable Separation Solutions and Interacting Waves of a Coupled System of the Modified KdV and Potential Blmp Equations

Xiaoyan Tang, East China Normal University, Institute of Systems Science, China

Zufeng Liang, Hangzhou Normal University, Physics Department, China

Abstract: Variable Separation Solutions and Interacting Waves of a Coupled System of the Modified KdV and Potential Blmp Equations Abstract. The multilinear variable separation approach (MLVSA) is applied to a coupled modified Korteweg de-Vries and potential Boiti-Leon-Manna-Pempinelli equations, as a result, the potential fields uy and vy are exactly the universal quantity applicable to all multilinear variable separable systems. The generalized MLVSA is also applied, and it is found uy (vy) is rightly the subtraction (addition) of two universal quantities with different parameters. Then interactions between periodic waves are discussed, for instance, the elastic interaction between two semi-periodic waves and non-elastic interaction between two periodic instantons. An attractive phenomenon is observed that a domion moves along a semi-periodic wave.
Oscillations at the Si/electrolyte contact: Relation to Quantum Mechanics

Jürgen Grzanna, Helmholtz Zentrum Berlin, , Germany

Hans Lewerenz, California Institute of Technology, Joint Center for Artificial Photosynthesis, United States

Abstract: The basic process at the surface of the Si electrode is characterized by a cyclic oxidation of a thin silicon layer and the subsequent removal of the oxide by etching. Here, the oxide thickness evolves not uniformly due to cracks and nanopores. The mathematical model used to describe the phenomenon is based on a sequence of time dependent (oxide thickness) oscillator density functions that describes the passing of the (infinitesimal) oscillators through their minimum at each cycle. Two consecutive oscillator density functions are connected by a second order linear integral equation representing a Markov process. The kernel of the integral equation is a normalized Greens Function and represents the probability distribution for the periods of the oscillators during a cycle. Both, the oscillator density function and the two-dimensional probability density for the periods of the oscillators, define a random walk. A relation between the oscillator density functions and solutions of the Fokker-Planck equation can be constructed. This allows a connection of the oscillations, originally considered only for the description of a photo-electrochemical observation to the Schrödinger equation. In addition, if the trajectory of an imaginary (virtual) particle, located at the silicon oxide electrode surface is considered during one oscillatory cycle, then it can be shown that the displacement of the particle measured at the electrode surface performs a Brownian motion.
Model of √3x√3 phases of silicene and its multilayers

Seymur Cahangirov, Nano-Bio Spectroscopy, Universidad del Pais Vasco, Fisica de Materiales, Spain

Abstract: Silicene, a monolayer of silicon atoms arranged in a honeycomb structure, received an enormous interest for being a candidate two-dimensional material that could bring the exotic electronic structure of graphene to the well-developed silicon-based technology.1-2 Experiments have shown that silicene synthesized on Ag substrates can acquire various reconstructions. In particular, structures having √3x√3 reconstruction have been frequently observed but yet poorly understood.3-5 Here we provide first-principles calculations that show the existence of a particular two-dimensional arrangement of silicon atoms that, gives rise to a phase with √3x√3 periodicity. We propose a new mechanism for explaining the spontaneous and consequential formation of this phase. The atomic structure of this phase is in excellent agreement with all STM experiments reported on √3x√3 phases so far. We show that unlike others the √3x√3 reconstruction is intrinsic and is not dictated by the interaction with the Ag substrate.3 The proposed mechanism opens the path to the understanding of multilayer silicon.3,5 References [1] S. Cahangirov et al., Phys. Rev. Lett. 102 (2009) 236804 [2] P. Vogt et al., Phys. Rev. Lett. 108 (2012) 155501 [3] B. Feng et al., Nano letters 12 (2012) 3507-3511 [4] L. Chen et al., Phys. Rev. Lett. 109 (2012) 056804 [5] P. De Padova et al., Appl. Phys. Lett. 102 (2013) 163106
Combining a reactive potential with an harmonic approximation for molecular dynamics simulation of fracture

Ignacio G Tejada, Université Paris-Est, Laboratoire Navier (UMR 8205), CNRS, ENPC, IFSTTAR, France

Laurent Brochard, Université Paris-Est, Laboratoire Navier (UMR 8205), CNRS, ENPC, IFSTTAR, France

Gabriel Stoltz, Université Paris-Est, CERMICS, École des Ponts ParisTech (ENPC), France

Frédéric Legoll, Université Paris-Est, Laboratoire Navier (UMR 8205), CNRS, ENPC, IFSTTAR, France

Tony Lelievre, Université Paris-Est, CERMICS, École des Ponts ParisTech (ENPC), France

Eric Cancès, Université Paris-Est, CERMICS, École des Ponts ParisTech (ENPC), France

Abstract: Molecular dynamics simulation is a technique for computing the motion of atoms and molecules and can be used to study fracture failure in solids, provided the energy potential considered is able to account for the complex atomic mechanisms at failure. Reactive potentials trained on ab initio results or on experimental values, have the ability to adapt to any complex atomic arrangement and, therefore, are suited to simulate fracture. However the use of reactive potentials, as well as the size of the systems considered, makes the simulations computationally expensive: with reactive potentials nearest-neighbor pair interactions depend not only on the distance between atoms but also on their local atomic environment, and the vast majority of the time is spent in evaluating such interactions. In order to improve the efficiency of these simulations, simpler harmonic potentials can be used in the regions of the system where the system is close to its minimum of energy and an harmonic approximation fits reasonably the actual reactive potential. The use of the reactive potentials can be limited in small regions around the crack tips (where irreversible phenomena are produced). However an approach to establish such a coupling of the potentials has to be researched in depth to establish its validity and its precision. In this work, we analyze the fracture of a crystalline two-dimensional material (graphene) with the reactive empirical bond-order potential (REBO) coupled with harmonic potentials. The harmonic potentials consist of bond and angle springs that are the closest, in a mathematical sense, to the Hessian of the reactive potential, in the targeted region. We research some important features of the cracking that may be affected by the coupling, and we pay a special attention to the change in the mechanical behavior and in the phonon dispersion curves.
Discrete Scale-Invariance in Cross-Correlations Between Stock Markets

Huijie Yang, University of Shanghai for Science and Technology, Business School, China

Abstract: The de-trended cross-correlation analysis (DCCA) is converted to a new form to evaluate discrete-scale long-range correlations embedded in time series. It is used to estimate long-range correlation behaviors in the main stock markets distributing in different continents. It is found that the cross-correlations obey the log-periodic power law distribution. The results may be helpful for us to evaluate financial state in a global way.
Study on durability and stability of an aqueous electrolyte solution for Zinc Bromide Flow Batteries

Joonhyeon Jeon, Dongguk University-Seoul, Department of Energy and Advanced Material Engineering, Korea, Republic Of

Donghyeon Kim, Dongguk University - Seoul, Department of Energy and Advanced Material Engineering, Korea, Republic Of

Abstract: Flow battery technology is of high interest to energy storage system users in that the flow battery is cost effective and eliminates the limitation of traditional battery systems associated with the decoupling of the power and energy components of the system. A key component of RFBs is the ability to separate power and energy. The power is controlled by the stack while the energy is stored within the separated reactants. Thus, one can optimize over a greater range of variables and storage (i.e., a predominantly aqueous electrolyte solution) can be increased with relatively ease and minimal cost compared to the stack. Zinc-Bromine Flow Battery (ZBB) is a type of hybrid flow battery and has the advantage of higher power density than Vanadium Flow Battery. However, ZBB development has been hindered by issues related to the formation of zinc dendrites upon deposition and the high solubility of bromine in the aqueous zinc bromide electrolyte. A uniform current distribution is preferred to mitigate dendrite growth. In addition, ZBBs involving the evolution of hazardous gases leads to health and environmental concerns. Issues in performance, reliability, and durability of zinc bromide electrolyte still remain. This paper focuses on providing a homogeneous aqueous solution for durability and stability of zinc bromide electrolyte. Performance experiments are carried out with cyclic voltammetry (CV) in aqueous electrolyte solutions which consist of ZnBr2 and various salt compounds (i.e., KCl, NaCl, ZnCl2, LiClO4, NaClO4, KClO4, Zeolite-Y and so on). Then, the effects of various salt compounds and their combinations on electrolyte conductivity and dendrite formation in 2.0 M ZnBr2 are evaluated at various concentrations. These results are shown to provide a strong electrolyte solution for high energy efficiency of ZBBs and also give new insights into the understanding of the electrochemical characteristics between resistivity and dendrite in a zinc bromide electrolyte with salt compounds .
Interaction of silicene and germanene with non-metallic substrates

Michel Houssa, University of Leuven, , Belgium

Abstract: Silicene, the silicon counterpart of graphene, has recently attracted a lot of attention as an alternative 2D materials to graphene for nanoelectronic devices. So far, the likely existence of silicene on Ag(111) surfaces has recently been reported, by combining experimental and first-principles simulations [1,2]. The growth of silicene has also been reported on other metallic substrates, like (0001) ZrB2 [3] and (111)Ir [4]. However, the characterization of the electronic and electrical properties of silicene on metallic substrates is very challenging, since these properties can be largely dominated by the substrates. In addition, potential applications of silicene in nanoelectronic devices will also require its growth on non-metallic substrates. We report here on the theoretical study of the interaction of silicene and germanene (2D Ge counterpart of graphene) with non-metallic substrates, using first-principles simulations. We first studied the weak (van der Waals) interaction between silicene or germanene with metal chalcogenide substrates [5,6]. The buckling of the silicene/germanene layer is found to be correlated to the in-plane lattice mismatch between the free-standing silicene or germanene layer and the metal chalcogenide layer. Highly buckled silicene (e.g. on MoS2) is predicted to be metallic, while low buckled silicene (on e.g. GaSe) is predicted to have Dirac cones at the K-points. We next investigated the interaction between silicene or germanene with (0001) ZnS or (0001) ZnSe surfaces [7,8]. In this case, part of the Si (Ge) atoms form covalent bonds with the substrate, leading to the opening of a gap in their energy band structure. Very interestingly, the value of this energy gap can be controlled by an out-of-plane electric field, leading to field-driven semiconductor to metal transitions at these interfaces – which could be very promising for the potential use of silicene and germanene in field effect transistors. Part of this work has been financially supported by the European Project “2D Nanolattices” within the Future and Emerging Technologies (FET) program of the European Commission, under FET-grant number 270749, as well as the KU Leuven Research Funds, project GOA/13/011. References 1. P. Vogt et al., Phys. Rev. Lett. 108, 155501 (2012). 2. D. Chiappe et al., Adv. Mat. 24, 5088 (2012). 3. A. Fleurence et al., Phys. Rev. Lett. 108, 245501 (2012). 4. L. Meng et al., Nano Lett. 13, 685 (2013). 5. D. Chiappe et al., Adv. Mat., in press (2014). 6. E. Scalise et al., 2D Materials, in press (2014). 7. M. Houssa et al., Phys. Chem. Chem. Phys. 15, 3702 (2013). 8. M. Houssa et al., Appl. Surf. Sci. 291, 98 (2014).
Modeling indirect detectors for performance optimization of a digital mammographic detector for dual energy applications

Niki Martini, University of Patras, Medical Physics, Greece

Vaia Koukou, University of Patras, Medical Physics, Greece

Nektarios Kalyvas, Technological Educational Institute of Athens Greece, Biomedical Engineering, Greece

Panagiota Sotiropoulou, University of Patras, Medical Physics, Greece

Christos Michail, Technological Educational Institute of Athens Greece, Biomedical Engineering, Greece

Ioannis Valais, Technological Educational Institute of Athens Greece, Biomedical Engineering, Greece

Ioannis Kandarakis, Technological Educational Institute of Athens Greece, Biomedical Engineering, Greece

George Nikiforidis, University of Patras, Medical Physics, Greece

George Fountos, Technological Educational Institute of Athens Greece, Biomedical Engineering, Greece

Abstract: Dual Energy imaging is a promising method for visualizing masses and microcalcifications in digital mammography. The advent of two X-ray energies (low and high) requires a suitable detector. The scope of this work is to determine optimum detector parameters for dual energy applications. The detector was modeled through the linear system theory. It was assumed that a phosphor material was coupled to a CMOS photodetector (indirect detection). The pixel size was set equal to 22.5µm. The phosphor thickness was allowed to vary between 20mg/cm2 and 160mg/cm2. The phosphor materials examined where Gd2O2S:Tb and Gd2O2S:Eu. A 35kV Pd (100 µm) and a 70kVp Yb (800 µm) filtered spectrum corresponding to low and high energy were assumed to incident on the detector. For each combination the contrast-to-noise ratio (CNR) and the detector optical gain (DOG), showing the sensitivity of the detector, were calculated. The 40mg/cm2 and the 70mg/cm2 Gd2O2S:Tb exhibited the higher DOG values for the low and the high energy correspondingly. Higher CNR between microcalcification and mammary gland exhibited the 70mg/cm2 and the 100mg/cm2 Gd2O2S:Tb for the low and the high energy correspondingly.
Optimization of breast cancer detection in Dual Energy X-ray Mammography using a CMOS imaging detector

Vaia Koukou, University of Patras, Medical Physics, Greece

George Fountos, Technological Educational Institute of Athens Greece, Biomedical Engineering, Greece

Niki Martini, University of Patras, Medical Physics, Greece

Panagiota Sotiropoulou, University of Patras, Medical Physics, Greece

Christos Michail, Technological Educational Institute of Athens Greece, Biomedical Engineering, Greece

Nektarios Kalyvas, Technological Educational Institute of Athens Greece, Biomedical Engineering, Greece

Ioannis Valais, Technological Educational Institute of Athens Greece, Biomedical Engineering, Greece

Ioannis Kandarakis, Technological Educational Institute of Athens Greece, Biomedical Engineering, Greece

George Nikiforidis, University of Patras, Medical Physics, Greece

Abstract: Dual Energy Mammography has the ability to improve the detection of microcalcifications leading to early diagnosis of breast cancer. In this simulation study, a prototype dual energy mammography system using a CMOS based imaging detector with different X-ray spectra was modeled. The device consists of a 33.91 mg/cm2 Gd2O2S:Tb scintillator screen, placed in direct contact with the sensor, with a pixel size of 22.5μm. Various filter materials and tube voltages of a Tungsten (W) anode for both the low and high energy were examined. The selection of the filters applied to W spectra was based on their K-edges (K-edge filtering). Hydroxyapatite (HAp) was used to simulate microcalcifications. Calcification signal-to-noise ratio (SNRtc) was calculated for entrance surface dose within the acceptable levels of conventional mammography. Optimization was based on the maximization of SNRtc while minimizing the entrance dose. The best compromise between SNRtc value and dose was provided by 35kVp with added beam filtration of 100μm Cd and 70kVp Yb filtered spectrum of 800μm for the low and high energy, respectively. Computer simulation results show that a SNRtc value of 3.6 can be achieved for a calcification size of 200μm. Compared with previous studies, this method can improve detectability of microcalcificatons.
Approximate method оf free energy calculation for spin system with arbitrary connection matrix

Boris Kryzhanovsky, Scientific Research Institute for System Analysis RAS, , Russian Federation

Leonid Litinskii, Scientific Research Institute for System Analysis of the Russian Academy of Sciences, , Russian Federation

Abstract: The proposed method of the free energy calculation is based on the approximation of the energy distribution in the microcanonical ensemble by the Gaussian distribution with the beforehand calculated values of the first two momentums. We hope that our approach will be effective for the systems with long-range interaction, where large coordination number ensures the correctness of the central limit theorem application. However, the method provides good results also for systems with short-range interaction when the number of the nearest neighbors q ~ 4. When comparing with the known results for the Ising model on planar and cubic lattices, and on the Bethe lattice, we see that our method provides good results for qualitative and quantitative description of the behavior of these spin systems. The error in the estimate of the critical temperature is ~10% for q=4, and it decreases up to 3% for q=6. The difference of the free energy from its exact value manifests itself only in the narrow vicinity of the critical temperature. It does not exceed 3% for q=4 and it decreases as 1/q.
Multiwavelet analysis in identifying critical states in simple non-linear oscillating systems

Kamila Jarczewska, Wroclaw University of Technology, Civil Engineering, Poland

Abstract: This paper aims at proving the efficiency of multiwavelet analysis and multiwavelet packet analysis in the qualitative assessment of the chaotic character of response from the analysed system. I will determine the ranges of variability for parameters describing the mathematical model of the system which will make the chaos appear; the response of the system with these parameters applied will be subject to multiwavelet analysis and multiwavelet packet analysis. The example of a one-degree-of-freedom non-linear system will show how the shift form a non-chaotic state to the chaotic state affects the size and arrangement in time of wavelet coefficients at various levels of perception of the system response. I will calculate the value of the accumulated energy of the analysed signal wavelet aproximation in order to differentiate between chaotic and non-chaotic signals. The results of multiwavelet analysis in identifying the system's critical states will be compared with results of traditional wavelet analysis as well as other known methods for assessing chaos. The presented approach is to be an alternative to other methods of qualitative identification of chaotic states, it is also to provide a generalisation to the method in analysing complex systems.
Water in glass for biomedicine: atomistic simulations

Antonio Tilocca, University College London, Chemistry, United Kingdom

Abstract: The interaction with water is central for the biodegradation and the performance of bioactive and bioinert glasses in a biological medium. In the case of bioactive glasses, this interaction eventually leads to release of key soluble species such as calcium, phosphate and silica, which play a role in both the bone-bonding and the activation of osteogenic cells. In the case of glasses for in-situ radiotherapy, the glass corrosion in the aqueous physiological medium can lead to unwanted release of radioactive ions in the bloodstream. Understanding the water-bioactive glass interaction at a fundamental level can support a more thorough understanding of how these biomaterials work. Moreover, detailed data on the fate of water molecules absorbed in bioactive glasses can provide precious insight into the effects of sol-gel processing on the atomic-scale glass structure. We discuss ab-initio Molecular Dynamics simulations aimed to investigate the interaction of bioglass surfaces with water monomers, in order to probe the activity of individual surface sites, as well as with an aqueous contact medium. This information allows us to build and analyse large models of the surface of bioglasses of different composition, thus revealing links between surface structure and bioactivity. We also discuss the effect of hydration on structural properties of aluminosilicate glass vectors for radiotherapy, based on atomistic model of the hydroxylated substrates produced by classical Molecular Dynamics simulations.
Chiral Logarithmic Sigma Model at Finite Temperature and Baryonic Chemical Potential

Mohamed Abu-shady, Faculty of science, Menoufia University, Applied Mathematics, Faculty of science, Menoufia University, Egypt

Abstract: A logarithmic potential is suggested to study the chiral phase transition, a critical temperature, and meson masses. The potential is satisfied some aspects of quantum chromodynamic (QCD) theory. The model has been solved in the mean-field approximation. We found that the behavior of meson masses has the similar behavior as in the original sigma model and the Nambu-Jona-Lasinio model. The critical temperature is in agreement with the original sigma model and it is acceptable agreement with lattice QCD. The chiral phase transition is crossover in the cases of chiral limit and explicit breaking symmetry. The condition of spontaneous-breaking symmetry is necessary to satisfy the Goldstone's Theorem, in which the meson mass is massive and pion mass is massless at low temperatures. Our conclusion indicates that the present model successfully predicts the phase transition and the critical temperature as well as in the original quark sigma model and the Nambu-Jona-Lasinio model.
Generalization of Zernike polynomials for regular portions of circles and ellipses

Jose Luis, Universidad Publica de Navarra, Ingenieria Matematica e Informatica, Spain

Abstract: Zernike polynomials are commonly used to represent the wavefront phase on circular optical apertures, since they form a complete and orthonormal basis on the unit circle. Here, we present a generalization of this Zernike basis for a variety of important optical apertures. On the contrary to ad hoc solutions, most of them based on the Gram-Smith orthonormalization method, here we apply a diffeomorphism (mapping that has a differentiable inverse mapping) that transforms the unit circle into an angular sector of an elliptical annulus. In this way, other apertures, such as ellipses, rings, angular sectors, etc. are also included as particular cases. This generalization, based on in-plane warping of the basis functions, provides a unique solution and what is more important, it guarantees a reasonable level of invariance of the mathematical properties and the physical meaning of the initial basis functions. Both, the general form and the explicit expressions for most common, elliptical and annular apertures are provided.
Solitons in an extended nonlinear Schrödinger equation with stimulated scattering on damping low-frequency waves and nonlinear dispersion

Gromov Evgeny, National Research University Higher School of Economics, , Russian Federation

Abstract: Dynamics of solitons is considered in an extended nonlinear Schrödinger equation (NLSE), including a pseudo-stimulated-Raman-scattering (pseudo-SRS) term (scattering on damping low-frequency waves, nonlinear dispersion and inhomogeneity of the spatial second-order dispersion (SOD). It is shown that wave-number downshift by the pseudo-SRS may be compensated by upshift provided by spatially increasing SOD with taking into account nonlinear dispersion. The analytical solutions are verified by comparison with numerical results
The random interaction field method: magnetic phase transitions in thin films

Valery Belokon, Far Eastern Federal University, Department of Theoretical and Experimental Physics, The School of Natural Sciences, Russian Federation

Olga Dyachenko, Far Eastern Federal University, Department of Theoretical and Experimental Physics, The School of Natural Sciences, Russian Federation

Abstract: In recent years, the physical phenomena in a periodic structures consisting of alternating layers of different metals have been widely studied theoretically [1 - 3] and experimentally [4 , 5]. The interest in such systems is largely because the thin film elements used in microelectronics are often represent multilayer system [6, 7]. On the other hand, the metal films having different physical properties can be combined, then it is possible to obtain wires with fundamentally new physical properties which can not be implemented in a homogeneous conductors. Thus, in particular, multilayers consisting of alternating layers of magnetic and non-magnetic metals have giant magnetoresistance, which manifest themselves in changing the conductivity by tens of percent when there is the weak external magnetic field [8 - 10]. This effect is perhaps the most striking example of the unusual properties of nanostructured materials. The systems of Co / Cu and Co / Pd are the most interesting in this field. Extremely low mutual solubility of the components of these systems allows to obtain well- differentiated layers or other type of structure in the film version. The unusual magnetic properties, such as spin glass srate[6] or quasicrystals [7] can be observed. This explains the increased interest and a huge amount of work on the films of Co / Cu and Co / Pd of different composition which exist in Russian and international scientific journals. However, remain open questions , and literature in this group of materials is not terminated In particular, some experimental works have difficulties in interpreting results within existing theories, different experiments demonstrate various oscillation periods , etc. Apparently, the direct exchange determines the Curie point and the temperature behavior of the spontaneous magnetization of Co, while relatively weaker RKKY interaction between spins of cobalt layers affects the relative orientation of the magnetization vectors and determines the energy of the interlayer interaction. In our view, many of the properties of such structures can be consistently explained using the mrandom interaction fields method developed in our studies [11-15]. Under this method, in this paper carried out: 1. Evaluation of the interaction energy of cobalt layers and the oscillation period, depending on the thickness of the nonmagnetic layer; 2. Assessing the impact of the cobalt layer thickness on the average effective field RKKY interaction. Further, a possible explanation of the superparamagnetic properties of such systems is offered. 1. Dimmich R. Electronic transport properties of metallic multi-layer films// J. Phys F: Met. Phys.– 1985.– Vol. 15, № 12. – P. 2477- 2487. 2. Chu-Xing Chen. Electrical conductivity of multilayered metallic thin films // Appl. Phys A.–1986.–Vol. 40, № 1.– P. 37- 40. 3. Dimmich R. Optical properties of metallic multilayer films // Phys. Rev. B. – 1992.– Vol. 45, № 7.– P. 3784-3791. 4. Protsenko I., Odnodvoretz L., Chornous A. Electroconductivity and tensosensibility of multi-layer films //Металлофиз. новейшие технолог.– 1998. – Vol. 20, № 1.– Pp. 36- 44. 5. Nakai H., Fudaba K., Shinzawa K., Hashimoto M. Electrical property on copper thin films with chromium under-layer//Thin Solid films.–1998.– Vol. 317. – P. 202-205. 6. Fenn M., Petford-Long A.K., Donovan P.E. Electrical resistivity of Cu and Nb thin films and multilayer // JMMM.– 1999.– Vol. 198-199.- P. 231-232. 7. Svalov A.V., Savin P.A., Kurland G., I. Gutierrez, Vas'kovsky VO Spin-valve magnetoresistive structures based on multilayer films Co / Tb // JETF. - 2002. - Vol. 72, 8. - P.54-57. 8. Frolov G.I. Film carriers for memory devices with superdense magnetic recording // Technical Physics - 2001. - Vol. 71, 12. - Pp. 50-57. 9. Baibich M.N., Broto J.M., Fert A., Nguyen Van Dau F., Petroff F., Eitenne P., Creuzet G., Friederich A., Chazelas J. Giant magnetoresistance of (001) Fe/ (001) Cr magnetic superlattices // Phys. Rev. Lett. – 1988. – Vol. 61, № 21. – P. 2472-2475. 10. Camley R.E., Stamps R.L. Magnetic multilayers: spin configurations, excitations and giant magnetoresistance // J. Phys.: Condens. Matter. – 1993. –Vol. 5. – P. 3727-3786. 11. Belokon', V.I., Nefedev, K.V., Goroshko, O.A., Tkach, O.I. Superparamagnetism in the 1D Ising model ё(2010) Bulletin of the Russian Academy of Sciences: Physics 74 (10) PP. 1413 - 1416 12. Belokon, V.I., Nefedev, K.V., Dyachenko, O.I. Concentration phase transitions in two-sublattice magnets (2012) Advanced Materials Research 557-559 PP. 731 - 734 13. Belokon, V.I., Nefedev, K.V., Dyachenko, O.I. Phase transitions in the binary alloys with annealed magnetic impurities (2013) Applied Mechanics and Materials 328 PP. 789 – 793 14.Belokon, V.I., Nefedev, K.V., Kapitan, V.Y., Dyachenko, O.I. Magnetic states of nanoparticles with RKKY interaction (2013) Advanced Materials Research 774-776 PP. 523 - 527 15. Belokon, V.I., Kapitan, V.Yu., Dyachenko, O.I Concentration of magnetic transitions in dilute magnetic materials Journal of Physics: Conference Series Volume 490, Issue 1, 2014
Viable model for f(R) gravity unifying early time inflation with late time acceleration

Luis Granda, Universidad del Valle, Physics, Colombia

Abstract: We propose a model for modified gravity that meet the conditions of viability. The model has stable constant curvature solution in absence of matter and for an special case contains flat space time solution. The model also leads to matter stability under small perturbations of scalar curvature. We give an example of restrictions on the parameters that respect the local systems requirements of viability and give large enough scalaron mass to avoid measurable corrections to the Newton law. This correction to the Einstein gravity has an interesting symmetry that allows to describe inflation and late time accelerated expansion with an effective cosmological constant for the inflationary epoch and small effective cosmological constant for the current accelerated phase.
An application of Prekopa’s theorem on the logconcavity of warranty reserves in reliability engineering

Evamaria Ortega, Res. Universit. Oblats., , Spain

José Alonso, Clínica Virgen de la Caridad, Servicio Radiología, Spain

Abstract: The log-concavity of the expected refund rate for an item with a nonrenewing pro-rata rebate warranty policy, and of the expected total reserve to service the warranty over the item life cycle under the same policy are proved. Upper bounds of warranty reserves are derived.
Calculating Conductance of Ion Channels - Linking Molecular Dynamics and Electrophysiology

Andrew Pohorille, NASA Ames Research Center, , United States

Michael Wilson, University of California San Francisco, Pharmaceutical Chemistry, United States

Abstract: Ion channels are pore-forming assemblies of transmembrane proteins that mediate and regulate ion transport through cell walls. They are ubiquitous to all life forms. In humans and other higher organisms they play the central role in conducting nerve impulses. They are also essential to cardiac processes, muscle contraction and epithelial transport. Ion channels from lower organisms can act as toxins or antimicrobial agents, and in a number of cases are involved in infectious diseases. Because of their important and diverse biological functions they are frequent targets of drug action. Also, simple natural or synthetic channels find numerous applications in biotechnology. For these reasons, studies of ion channels are at the forefront of biophysics, structural biology and cellular biology. In the last decade, the increased availability of X-ray structures has greatly advanced our understanding of ion channels. However, their mechanism of action remains elusive. This is because, in order to assist controlled ion transport, ion channels are dynamic by nature, but X-ray crystallography captures the channel in a single, sometimes non-native state. To explain how ion channels work, X-ray structures have to be supplemented with dynamic information. In principle, molecular dynamics (MD) simulations can aid in providing this information, as this is precisely what MD has been designed to do. However, MD simulations suffer from their own problems, such as inability to access sufficiently long time scales or limited accuracy of force fields. To assess the reliability of MD simulations it is only natural to turn to the main function of channels - conducting ions - and compare calculated ionic conductance with electrophysiological data, mainly single channel recordings, obtained under similar conditions. If this comparison is satisfactory it would greatly increase our confidence that both the structures and our computational methodologies are sufficiently accurate. Channel conductance, defined as the ratio of ionic current through the channel to applied voltage, can be calculated in MD simulations by way of applying an external electric field to the system and counting the number of ions that traverse the channel per unit time. If the current is small, a voltage significantly higher than the experimental one needs to be applied to collect sufficient statistics of ion crossing events. Then, the calculated conductance has to be extrapolated to the experimental voltage using procedures of unknown accuracy. Instead, we propose an alternative approach that applies if ion transport through channels can be described with sufficient accuracy by the one-dimensional diffusion equation in the potential given by the free energy profile and applied voltage. Then, it is possible to test the assumptions of the equation, recover the full voltage/current dependence, determine the reliability of the calculated conductance and reconstruct the underlying (equilibrium) free energy profile, all from MD simulations at a single voltage. We will present the underlying theory, model calculations that test this theory and simulations on ion conductance through a channel that has been extensively studied experimentally. To our knowledge this is the first case in which the complete, experimentally measured dependence of the current on applied voltage has been reconstructed from MD simulations.
Interactions of elliptical astigmatic solitary beams in nonlinear saturable media

Panagiotis Papagiannis, National Technical University of Athens, , Greece

Abstract: The dynamics and interactions of elliptical astigmatic optical beams in a medium with third and fifth order nonlinear refractive index are considered. These beams carry orbital angular momentum that is conserved throughout propagation. We apply the variational technique to identify the range of existence in parameter space for Gaussian initial conditions in the case of a single beam and also for coupled beams. From the two theoretical branches only the one, where the beams have high power and carry large orbital angular momentum, can support stable rotating beams. We study numerically their asymptotic behavior, revealing stable propagation and beam splitting scenarios. The initial elliptical Gaussian intensity distribution evolves in flat top elliptical beams which are also astigmatic. Especially in the case of coupled beams with the same center of mass we identify two characteristic configurations (coaxial, orthoaxial) depending on the initial orientation of the semi-axes of their intensity cross-sections. Splitting of the beams is promoted by large asymmetry in the angular momentum density due to large values in ellipticity and/or large initial astigmatism. When vector beams split the derivative beamlets that occur, are also coupled and come in different forms, depending on initial conditions. Emphasis is given in coupled non-concentric beams with separation distances comparable to the beams waist. One can identify initial parameters which lead to stably spiraling beams around the total center of mass with asymmetric intensity cross-sections. With the help of numerical simulations an interchange between the beams eigen-angular momentum and the systems angular momentum, due to their mutual revolution around the axis of propagation, is observed.
Classification of finger movement using singular spectrum transformation

Yuichi Tamura, Konan University, Dept. Information and Informatics, Japan

Abstract: The purpose of this study is to detect finger movement and classify its meaning using singular spectrum transformation (SST) method. Human gesture recognition is one of the most important matter for realizing natural user interfaces. However, it is very difficult to make an interface which has the robustness of recognition and is easy to install. We propose a finger movement detection and classification method using singular spectrum transformation. This method can robustly classify gestures and behavior.
Soliton ratchets

Niurka R. Quintero, Universidad de Sevilla, Física Aplicada I, Spain

Abstract: The transport of particles or solitons under zero-average forces (i.e., ratchet transport) has been extensively investigated in the last decade. This phenomenon has been predicted by means of the symmetries of the systems and explained using specific theories for each particular physical system. Moreover, net motion has been observed in experiments and simulations in non-linear systems where spatio-temporal symmetries have been properly broken. The ratchet effect was first studied in particle systems and afterward generalized to soliton (solitary waves) systems. In this talk we will present an overview of the soliton ratchets in the driven and damped sine-Gordon equation and related systems. Soliton ratchets induced by the breaking of spatial, temporal and field symmetries are discussed. Analytical methods, such as collective coordinates theory and symmetry analysis, are presented, together with their comparison with numerical simulations. Symmetry analysis, based on the time-shift invariance of the average velocity of solitons, explains, in an unified way, intrinsic phenomena of the rocking ratchets, such as: the control of reversal currents by means of the amplitudes and phases of the drivers, the motion induced by damping, and the suppression of the current when certain symmetries of the forces hold.
MATHEMATICAL MODELING OF A WATER-IN-OIL EMULSION DROPLET BEHAVIOR UNDER THE MICROWAVE IMPACT

Liana Kovaleva, Bashkir State University, , Russian Federation

Abstract: The formation of high stability of water-in-oil emulsions is one of the negative factors in extracting and processing of oil, it’s preparation and transportation, as well as liquidation/recycling of oil-sludge barns. The usage of microwave radiation is one of the perspective methods for the destruction of water-in-oil emulsions. The problem of microwave electromagnetic radiation impact on a single water-in-oil droplet is considered. The system of heat equations within the droplet and in the surrounding liquid, incompressible Navier-stokes equations within the droplet and in the surrounding liquid, and equation of state are considered. The formulated problem is solved numerically using TDMA (Tri-diagonal-matrix algorithm), SIMPLE algorithm and VOF method (volume of fluid method for the dynamics of free boundaries) in Euler coordinates. The results in the form of the dependence of the temperature within the droplet and in the surrounding liquid on the time of microwave impact and streamlines thermal convection are represented; dependence of the velocity of droplet’s moving on the power of the of the microwave impact is shown. The obtained results can help to establish criteria for the efficient applicable of the microwave method for the water-in-oil emulsions destruction.
Feasibility study of a cosmetic cream added with aqueous extract and oil from date (Phoenix dactylifera L.) fruit seed using experience design

Fatma Lecheb, Laboratory Research in Food Technology, University M'hamed Bougara of Boumerdès, 35000, , Algeria

Benamara Salem, University M'hamed Bougara of Boumerdès, Department of Food Technology, Algeria

Abstract: The present paper reports about the feasibility study of a cosmetic cream added with aqueous extract and oil from date (Phoenix dactylifera L.) fruit seed using experience design (MINITAB 15 software). First, the mixture design was applied to optimize the cosmetic formula; the responses are the spreadibility (YSp) and viscosity (YVis), the independent variables being the weight proportions of the fatty phase (X1), the aqueous date extract (X2) and the beeswax (X3). Secondly, the cosmetic stability study is approached by applying a full factorial design; here, three responses are considered (spreadability, viscosity, and peroxide index (PI)), the independent variables being the concentration of the date seed oil (DSO), storage temperature and storage time. Results show that in the case of mixture design, the second-order polynomial equations correctly describe experimental data. Globally, experimental data demonstrate that there is a wide composition range of ingredients allowing to obtain a suitable cosmetic cream from point of view of spreadability and viscosity, knowing that for a moisturizing cream the values of these two criteria are required to be of 15,19 cm2 and 7.16-88,00 Pa·s, respectively. Regarding the cosmetic stability, the storage time was found to be the most influential factor on the both viscosity and peroxide index. Results revealed also that the DSO present a protective effect against the oxidation process but it negatively influences the viscosity of the final product.
Wormhole Dynamics

Hisa-aki Shinkai, Osaka Institute of Technology, Faculty of Information Science & Technology, Japan

Takashi Torii, Osaka Institute of Technology, Faculty of Engineering, Japan

Abstract: Wormholes are theoretical products in general relativity, and are popular tools in science fictions. We know numerically the four-dimensional Ellis wormhole solution (the so-called Morris-Thorne's traversable wormhole) is unstable against an input of scalar-pulse from one side [1]. We investigate this feature for higher-dimensional versions, both in $n$-dimensional general relativity and in Gauss-Bonnet gravity. We derived Ellis wormhole solutions in $n$-dimensional general relativity, and found an existence of unstable mode in its linear perturbation analysis [2]. We also evolved it numerically in dual-null coordinate system, and confirmed its instability. The wormhole throat will change into black-hole horizon for the input of (relatively) positive energy from one side, while it will change into inflationary expansion for (relatively) negative energy input. If we add Gauss-Bonnet terms (higher curvature correction terms in gravity), then wormhole tends to expand (or change to black-hole) after an input of ghost-scalar pulse if the coupling constant $¥alpha$ is positive (negative). Refs: [1] H. Shinkai & S.A. Hayward , Fate of the first traversible wormhole: black-hole collapse or inflationary expansion Physical Review D 66 (2002) 044005 (9 pages) [2] T. Torii & H. Shinkai, Wormholes in higher dimensional space-time: Exact solutions and their linear stability analysis Physical Review D 88, 064027 (2013) (6 pages)
Modeling of the magnetization process of the superparamagnetic core/shell nanoparticles

Sergei Anisimov, Far-Eastern Federal University, , Russian Federation

Leonid Afremov, Far Eastern Federal University, Department of theoretical and experimental physics, Russian Federation

Ilia Iliushin, FEFU, School of Natural Sciences, Russian Federation

Abstract: Modeling of the magnetization of Fe/Fe3O4 core/shell nanoparticles has been carried out by means of following model: uniformly magnetized ellipsoid-shaped nanoparticles contains uniformly magnetized ellipsoidal core. Modeling states of magnetic moments of the phases showed that core/shell nanoparticles can be in one of four states: with parallel or antiparallel orientation of magnetic moments. Every of these states are described by the population vector. Based on the model, values of population vector for Fe/Fe3O4 core/shell nanoparticles were calculated. These values were used to calculate and plot hysteresis loops to analyze magnetic properties of Fe/Fe3O4 core/shell nanoparticles of different sizes afterwards. Numerical values of coercive field and spontaneous magnetization are presented for Fe/Fe3O4 nanoparticles of different sizes.
The motion of spinning particles in the Kerr spacetime

Georgios Loukes-Gerakopoulos, TPI, FSU Jena, , Germany

Abstract: We investigate the Mathisson-Papapetrou equations with two different spin supplementary conditions (SSC), i.e., the Tulczyjew SSC and the Newton-Wigner SSC. We compare these two cases analytically and numerically. For the Newton-Wigner SSC we compare the Mathisson-Papapetrou Lagrangian formalism with the corresponding approximate Hamiltonian function provided in [Barausse, Racine, and Buonanno, PRD, 80, 104025].
Finite element simulation of phase separation in nanowires, core-shell nanowires and the free surface effect

Lu Liangxing, Institute of High Performance Computing, , Singapore

Bharathi Srinivasan, Institute of High Performance Computing, Engineering Mechanics, Singapore

Yong Wei Zhang, Institute of High Performance Computing, EM, Singapore

Abstract: Phase field method is widely used in simulations of morphologic evolutions. But phase field models are usually calculated by Fast Fourier Transformation (FFT) method with periodic boundary conditions which limited its application in real deformation constrains. Here, we have established a finite element phase field model and have programmed it as a UEL subroutine in ABAQUS. Using this model and subroutine we can easily treat all the complexities at the same time. Examples of spinodal decomposition in nanowires and core-shell nanowires combine with the polycrystalline structure, anisotropic and inhomogeneous elastic modules are given. Results show a clear difference between morphologies developed in different boundary conditions. In constrained condition, which is usually applied in FFT phase field simulations, surface points cannot deform freely, uniform morphology obtained. In the free surface condition, morphology near the surface will align perpendicular to the surface. The influences of boundary condition are not only on the thermodynamics but also on the kinetic process.
Fuzzy Clustering of Color Textures using Skew Divergence and Compact Histograms: Segmenting Thin Rock Sections

Hélio Siebra, Universidade Federal do Rio Grande do Norte, Department of Informatics and Applied Mathematics, Brazil

Bruno Motta de Carvalho, UFRN, Department of Informatics and Applied Mathematics, Brazil

Edgar Garduño, Universidad Nacional Autónoma de México, Instituto de Investigaciones en Matemáticas Aplicadas y Sistemas, Mexico

Abstract: Digital image segmentation is the process of assigning distinct labels to different objects in a digital image, and clustering techniques can be used to achieve such segmentations. However, many traditional segmentation algorithm fail to segment objects that are characterized by textures whose patterns cannot be successfully described by simple statistics computed over a very restricted area. In this paper we present a fuzzy clustering algorithm that achieves the segmentation of images with color textures by employing a distance function based on the Skew Divergence, that is based on the well-known Kullback-Leibler Divergence. In order for such a distance to produce good results when applied to color images, we reduced the dimensionality of the image's histogram, thus eliminating the sparsity of the color histogram and speeding up the execution of the algorithm. We performed experiments on thin rock sections and compared our results to the segmentations obtained by the Fuzzy C-Means and by another fuzzy segmentation technique, showing the superiority of our approach.
Perceiving light rays above and below the horizon of a black hole in Schwarzschild spacetime

Alicja Siwek, Wrocław University of Technology, Institute of Physics, Poland

Bartosz Kuśmierz, Wrocław University of Technology, Institute of Physics, Poland

Paweł Gusin, University of Wrocław, Institute of Theoretical Physics, Poland

Jan Masajada, Wrocław University of Technology, Institute of Physics, Poland

Andrzej Radosz, Wrocław University of Technology, Institute of Physics, Poland

Abstract: We consider a novel kind of plot for presenting the behaviour of null geodesics in Schwarzschild spacetime. Our diagram depicts various features of the light rays as recorded by different classes of observers. The idea stems from the use of phase portraits for illustrating the null geodesics in Schwarzschild spacetime, above and below the horizon of a black hole, but they reveal unphysical characteristics. The plots we propose are free from such anomalies. Moreover they allow us to discover new under-horizon features - one of them is a photon-sphere-analogue.
Multi objective Optimization of Line Pack Management of Gas Pipeline system

Chebouba Ammar, Boumerdes University, Laboratory of reliability of the oil equipments and the materials, Faculty of Hydrocarbon and Chemistry, Algeria

Abstract: This paper addresses the Line Pack Management of the “GZ1 Hassi R'mell-Arzew" gas pipeline. This pipeline is constituted of five compressor stations which are constituted by several identical turbo compressors, installed in parallel. For a gas pipeline system, the decision-making on the gas line pack management scenarios usually involves a delicate balance between minimization of the fuel consumption in the compression stations and maximizing gas line pack. In order to select an acceptable Line Pack Management of Gas Pipeline scenario from these two angles for “GZ1 Hassi R'mell-Arzew" gas pipeline, the idea of multi-objective decision-making has been introduced. The first step in developing this approach is the derivation of a numerical method to analyze the flow through the pipeline under transient isothermal conditions. In this paper, the solver NSGA-II of the modeFRONTIER, coupled with a matlab program was used for solving the multi-objective problem.
Toward the estimation of background fluctuations under newly-observed signals in particle physics

Federico Colecchia, Brunel University London, Information Systems, Computing & Mathematics, United Kingdom

Abstract: When the number of events associated with a signal process is estimated in particle physics, it is common practice to extrapolate background distributions from control regions to a predefined signal window. This allows accurate estimation of the expected, or average, number of background events under the signal. However, in general, the actual number of background events can deviate from the average due to fluctuations in the data. Such a difference can be sizable when compared to the number of signal events in the early stages following the observation of a new particle, as well as in the analysis of rare decay channels. We report on the development of a data-driven technique that aims to estimate the actual, as opposed to the expected, number of background events under a signal. We discuss results on toy Monte Carlo data and provide a preliminary estimate of systematic uncertainty.
Spin transport in the two dimensional quantum disordered anisotropic Heisenberg

Leonardo dos Santos Lima, Centro Federal de Educacao Tecnológica de Minas Gerais, Departamento de Fisica e Matemática, Brazil

Abstract: We use the Self Consistent Harmonic Approximation together with the Linear Response Theory to study the effect of nonmagnetic disorder on spin transport in the quantum diluted two-dimensional anisotropic Heisenberg model with spin S = 1 in a square lattice. The model has a BKT transition at zero dilution. We calculate the regular part of the spin conductivity σ_reg (ω) and the Drude weight D_S (T) as a function of the non magnetic concentration, x. Our calculations show that the spin conductivity drops abruptly to zero at x_c^SCHA≈0.5 indicating that the system changes from an ideal spin conductor state to an insulator. This value is far above the site percolation threshold x_c^site≈0.4 Although the SCHA fails in determining precisely the percolation threshold, both the spin conductivity and the Drude weight show a quite regular behavior inside 0≤x≤x_c^SCHA indicating that the transition stays in the same universality class all long the interval.
Calculation of infinite series through Polygamma functions algorithms

Hector Luna, Universidad Autonoma Metropolitana-Unidad Azcapotzalco, Ciencias Basicas, Mexico

Abstract: Here is introduced some novel algorithms which made use of polygamma functions to get the exact limits of a broad class of infinite series. Moreover, Laplace transform is used to find the sum of many convergent infinite series. These exact limits are found in different branches of physics for some special cases series and are in complete agreement with the values found by other authors. Moreover, the methods presented here are generalized and applied to other wide variety of sums, including alternating series. Finally, these methods are simple and quite powerful to calculate the limits of many convergent series as you can see from the examples included.
Numerical study on natural convection and entropy generation in corrugated cavities

Amina Sabeur, USTO-MB, Faculty of Mechanical Engineering, Algeria

Abstract: The present work deals with the study of the entropy generation in the natural convection process in square cavities with hot wavy walls through numerical simulations for different undulations and Rayleigh numbers, while keeping the Prandtl number constant. The results show that the hot wall geometry affects notably the heat transfer rate in the cavity. It has been found in this investigation that the mean Nusselt number in the case of heat transfer in a cavity with wavy walls is lower, as compared to heat transfer in a cavity without undulations. Based on the obtained dimensionless velocity and temperature values, the distributions of the local entropy generation due to heat transfer and fluid friction, the local Bejan number, and the local entropy generation are determined and plotted for different undulations and Rayleigh number. The study is performed for Rayleigh number 103
Strong large deviations principles of Non-Freidlin-Wentzell Type.Optimal Control Problem with Imperfect Information. Jumps Phenomena in Financial Markets

Jaykov Foukzon, Israel Institute of Technologies, Department of Mathematics, Haifa, Israel, , Israel

Abstract: The paper presents, a new large deviations principles (SLDP) of non-Freidlin-Wentzell type, corresponding to the solutions Colombeau-Ito’s SDE. Using SLDP we present a new approach to construct the Bellman function
Modeling of the transitions between magnetic states of core/shell nanoparticles

Ilia Iliushin, FEFU, School of Natural Sciences, Russian Federation

Leonid Afremov, Far Eastern Federal University, Department of theoretical and experimental physics, Russian Federation

Sergei Anisimov, Far-Eastern Federal University, , Russian Federation

Abstract: Core/shell nanoparticles can be used in industry, medicine and biophysics, due to their unique properties. Theoretical studies of core/shell nanoparticles are mainly based on the Stoner-Wohlfarth model, and the Monte-Carlo simulation is mostly used the Metropolis algorithm. This method is an extension of one-phase nanoparticle model and not entirely correct for solving the magnetic states of core/shell nanoparticles, which represents a magnetic core covered with a magnetic or nonmagnetic shell. We developed a model of core/shell nanoparticles based on the analysis of total energy consisting of anisotropy energy Ea, magnetostatic interaction energy Em, exchange interaction energy Eex and energy of magnetic moment of the grain in external magnetic field Eh: E=Ea+Em+Eex +EH. Modeling states of magnetic moments of the phases showed that core/shell nanoparticle can be in one of four states: with parallel or antiparallel orientation of magnetic moments. Within this model were solved the problems of finding the ground and metastable states and defined algorithms of search of the energy barriers between them. It was found that transitions between equilibrium states may be committed by the independent rotation of the magnetic moments of phases as well as due to their simultaneous reversal magnetization. Based on the simulation, it was shown that transition trajectory of the magnetic moment from one equilibrium state to another may pass through a maximum as the energy and through the saddle point Based on the simulation, it was shown that the trajectory of the magnetic moment of the transition phase from one equilibrium state to another may pass through a maximum of the energy and through the saddle point. Developed transition trajectory of magnetic moment from one equilibrium state to another search algorithm allowed to calculate energy barriers and probabilities of transition between equilibrium states. Knowing of transition probabilities between equilibrium states allows to calculate the population of above-mentioned equilibrium states and study the magnetic properties of ensembles of core/shell nanoparticles.
Modeling of the size effect on the hysteresis characteristics of core/shell (Co/Au) nanoparticles

Maria Chernova, FEFU, Theoretical and experimental physics, Russian Federation

Leonid Afremov, Far Eastern Federal University, Department of theoretical and experimental physics, Russian Federation

Abstract: Study of nanoparticles led to the emergence of new structures, so-called core/shell nanoparticles. Notable among these are the Co/Au nanoparticles, which are due to the unique properties widely used in biomedicine . Feature of the magnetic properties of Co/Au nanoparticles is determined by the exchange interaction at the core/shell boundary. For investigation of hysteresis characteristics of Co/Au nanoparticles a model of two-phase nanoparticles was used: Ellipsoid-shaped Co/Au nanoparticle contains uniformly magnetized ellipsoidal cobalt core with long axis coincides with the long axis of the core/shell nanoparticle oriented along an axis Oz; It's considered that the cristalography anisotropy axis of cobalt parallel to the axis Oz, and spontaneous magnetization vectors of both phases Is(Au) and Is(Co) are located in one plane yOz which contain long axes of phases; External magnetic field H is applied along axis Oz. Modeling of the magnetization process of Co/Au nanoparticles revealed that coercive field and spontaneous magnetization is reduced with size, due to the increased role of thermal fluctuations in the system. Obtained results are in good agreement with an experiment.
Multiscale Analysis of the Wnt/b-catenin Signaling Pathway

Dimitris Maris, NTUA, Department of Mechanics NTUA, Greece

Abstract: The Wnt/β -catenin signaling pathway is a transduction pathway consisting of proteins that pass signals through surface receptors inside the cell and plays an important role in oncogenesis and development. Ethan Lee and his team introduced in 2003 a detailed mathematical model of the Wnt/β -catenin signal transduction pathway, consisting of a system of 15 differential equations. Their model incorporates the kinetics of protein-protein interactions, protein synthesis/degradation, and phosphorylation/dephosphorylation. The fast/slow dynamics of Lee’s system are examined, by employing the Computational Singular Perturbation (CSP) method, which provides in an algorithmic fashion everything the traditional Singular Perturbation technique does. The success of CSP relies on the existence of fast dissipative time scales in the dynamics of the model which are much faster than the rest. Considering a N-dimensional system of differential equations, the solution is attracted on a N-M Slow Invariant Manifold (SIM) under the action of M-fast dissipative time scales. On the SIM, the evolution of the process is governed by a reduced model which is free of the fast time scales, so that the motion is characterized by the slow time scales. CSP provides the SIM and the reduced model, along with a number of diagnostics which reveal the physical mechanisms involved in the formation of the SIM and in the slow motion along it. Considering the Wnt/b -catenin signaling pathway, CSP analysis reveals that the dimensions of the SIM reduces with time. As a result, the reactions that drive the evolution of the process vary with time. The identification of these reactions is very important when it is desired to control the evolution of the process.
Dynamics of HNLS Solitons using Compact Split Step Padé scheme

Moussa Smadi, Université El Hadj Lakhdar de Batna, Sciences de la Matière, Algeria

Derradji Bahloul, Université El Hadj Lakhdar de Batna, Sciences de la Matière, Algeria

Abstract: This communication can be divided into two main parts. In the first parts, we propose a compact split step Padé scheme (CSSPS) to solve the scalar higher-order nonlinear Schrödinger equation (HNLS) with higher-order linear and nonlinear effects such as the third and fourth order dispersion effects, Kerr dispersion, self-steepening, stimulated Raman scattering and power law nonlinearity. The second part, consisting of two sections, the first one is dedicated to the study numerically the impact of higher-order linear and nonlinear effects on the dynamic of solitons in optical fibers. In the second section we study the stabilization of solitons propagation in optical channels by compensation or by the interplay of higher order nonlinearity - especially quintic nonlinearity- and the fourth order dispersion.
The Effect of a Non-Isotropic Flux of Very High Energy Cosmic Rays on the values of mean shower maxima

Pantea Davoudifar, Research Institute for Astronomy and Astrophysics of Maragha, Astroparticle Physics, Iran (Islamic Republic of)

Keihanak Rowshan Tabari, Research Institute for Astronomy and Astrophysics of Maragha, , Iran (Islamic Republic of)

Abstract: In our previous works we described a statistical method to interpret the results of extensive air shower simulations. For an isotropically distributed flux of cosmic rays, we used this method to deduce diagrams of mean values of shower maxima versus energy decades. To have a more realistic result, we considered the effect of a non-isotropic flux of cosmic rays at very high energies. This effect was considered as a weight factor deduced from the observation. We discussed about the effect of this weight factor on our final resulted diagrams of mean shower maxima and for different interaction models compared the resulted distributions of very high energy cosmic ray's mass composition.
The initiation of methane/air autoignition: the important chemical components for various initial conditions

Dimitris Manias, National Technical University of Athens, Department of Mechanics, Greece

Abstract: Reactive systems introduce a wide range of time scales, the fastest of which (i) are of dissipative character and (ii) tend to constrain the evolution of the system along a low-dimensional surface in phase space, introduced as a slow invariant manifold (SIM). On this surface, the system is characterized by slower timescales. The influence of these time scales can be assessed only when it is possible to construct the reduced (non-stiff) system that governs the flow on the SIM. In the past, this reduced system was constructed with the traditional singular perturbation techniques, so only simple reactive systems were analyzed. Nowadays, the reduced system is constructed by algorithmic methodologies so that the complexity of the reactive system is not an obstacle anymore. Here, a reactive system will be considered, the slow dynamics of which is characterized by slow time scales that are of explosive character; i.e., the components of the system that generate them lead the system away from equilibrium. In particular, the initiation of the methane/air mixture autoignition will be considered and the reactions that are responsible for the generation of the explosive timescales will be identified. The analysis will be based on the Computational Singular Perturbation algorithm, which will be employed for the construction of the SIM and the reduced system. It will be demonstrated that an excellent agreement with the existing literature is obtained.
Energy Spectrum of the Detectible Particles in Neutron Interaction with 10B5

Djelloul Benzaid, Khemis Miliana University , Faculté des Sciences et de la Technologie, Algeria

Abdeslam Seghour, CENTRE DE RECHERCHE NUCLEAIRE D'ALGER, , Algeria

Abstract: When boron is exposed to neutrons, the (n,α) reaction on 10B is the leading process. The Q value of this reaction is 2.789 MeV. This reaction is of special interest because (n,α) reactions with slow neutrons do not occur very frequently. In intermediate and heavy nuclei, neutrons produce elastic scattering or capture (and in some cases fission). The occurrence of (n,α) reactions is usually excluded because of the preventive effect of the Coulomb barrier. In the case of boron, however, the favourable Q value and the Coulomb barrier (about 2.5 MeV) between 7Li and an alpha-particle make it possible that an alpha-particle is emitted by the compound nucleus with considerable probability. Alpha-particle emission competes successfully against neutron capture; the radiative capture cross section is less than 10-5 of the (n,α) cross section. The (n,α) reaction on 10B can be considered a neutron-induced fission of boron into 7Li and 4He. In this work we aim to reproduce the experimental energy spectrum of the produced charged particles, α and 7Li, using a mono-energetic beam of neutrons bombarding a target of boron 10B. The bulk of the work consists of modelling the interaction of the incident neutrons with the target nucleus using rejection method of VON NEUMANN. Results are compared to experimental data.
NLED Gedankenexperiment using Magnetic Mass for review and confirmation of validity of Inverse Square law of Gravity

Andrew Beckwith, Chongqing University department of physics( visitor), , China

Abstract: Using an NLED Lagrangian proposed by Dupay’s et.al (2008), as well as some of the ideas of Feynman’s chapter 28 (2nd volume of Feynman Lectures of physics) of magnetic mass, we review methodology given by Paik et.al (1988) as to come up with a new set of parameters for testing the inverse square law of gravity, which would give an electromagnetic input into the admissible force range for confirmable deviations from the inverse square law of gravity. In doing so, we stress that the ideas present are a gedankenexperiment, and that confirmation of the feasibility of such an experiment would await resolution of certain key experimental details. I.e. first, is the initial state of the universe rotating or stationary?.The primary value we will be looking at is the force range parameter , and our analysis will in part reflect what the NLED analysis, in part borrowed from Dupays gives us as far as inputs into the mass M (as a fill in of detail from the Feynman 2nd volume analysis of magnetic mess).
Calculation of deposited energy of proton pencil beam in the spherical water phantom with using OK3 and GEANT4 codes

Hamid Reza Abdi Roknabadi, Yazd University, Physics, Iran (Islamic Republic of)

Abstract: The goal of radiotherapy is to maximize the dose to the tumor tissue and to protect the adjacent normal tissue as far as possible. Determination of the particle’s deposited energy is very important in radiotherapy and medical physics. OK3 and GEANT4 code reused for considering this effect. Simulation results help us to determine the physical parameters exactly. in this research we have calculate the 3D energy deposition curve for proton pencil beam in the spherical water phantom. The results of two Monte Carlo codes have a good agreement with them.
Spin and Anti-Spin Solutions Existing in Schrödinger Equation

Ming-Hsien Hsia, National Cheng Kung University, Taiwan, Department of Aeronautics and Astronautics, Taiwan, Province of China

Abstract: The spin dynamics inherent in the Schrödinger equation has long been overlooked since the inception of quantum mechanics. This paper aims to report the discovery that the hydrogen s-state wavefunctions solved from the original Schrödinger equation without any correction from Pauli or Dirac theory clearly demonstrates the existence of the electron motion with angular momentum ±ħ/2 when the orbital angular momentum L^2 is zero. It is revealed that the well-known spinless mode in the usual interpretation of the Schrödinger equation is only one of the three spin modes contained in the hydrogen s-state, while the remaining two modes inherent in the Schrödinger equation, namely, the spin-down mode with angular momentum -ħ/2 and the spin-up mode with angular momentum ħ/2, were not reported before in the literature. Making use of first principle of Hamilton mechanics, in this paper we represent spin dynamics by Hamilton equations of motion, prove that the spin dynamics is just the zero dynamics of orbital angular momentum, analyze the force interaction and the energy allocation involved in spin dynamics, and show how the orbital, spin, and total angular momentum operators can be derived directly from the Hamilton equations of motion. For each spin solution, we show that there is an accompanying anti-spin solution to the Schrödinger equation such that the spin and anti-spin solutions constitute a complete solution to the Schrödinger equation. Quantum Hamilton equations of motion indicate that the electrons in the spin and anti-spin solutions have equal angular momentum anti-parallel to each other.
Nonlinear three-dimensional modal analysis of isotropic parallelepipeds by Ritz method

Francisco J. Nieves, Universidad de Sevilla, Física Aplicada II, Spain

Abstract: The applicability and consistency of Ritz method to a nonlinear three-dimensional modal analysis of isotropic parallelepipeds is studied. Only geometric nonlinearities are considered, and an iterative method is used to choice the best set of basis polynomials as displacement functions.
First-principles study of hydrogen diffusion in transition metal Rhodium

Wulijibilige Bao, School of Physical Science and Technology, Inner Mongolia University, Department of Physics, China

Xin Cui, School of Physical Science and Technology, Inner Mongolia University, Department of Physics, China

ZhiPing Wang, School of Physical Science and Technology, Inner Mongolia University, Department of Physics, China

Abstract: In this study, the diffuse pattern and path of hydrogen in transition metal rhodium are investigated by the first-principles calculations. Density functional theory is used to calculate the system energy of hydrogen atom occupying different positions in rhodium crystal lattice. The results indicate that the most stable position of hydrogen atom in rhodium crystal lattice locates at the octahedral interstice, and the tetrahedral interstice is the second stable site. The activation barrier energy for the diffusion of atomic hydrogen in transition metal rhodium is quantified by determining the most favorable path, i.e., the minimum-energy pathway for diffusion, that is the indirect octahedral-tetrahedral-octahedral (O-T-O) pathway, and the activation energy is 0.8345eV.
First-principle study of the electronic band structure and the effective mass of GaxIn1-xP ternary alloy

H.Q.Yang, Inner Mongolia University, Physical Science and Technology, China

Tie Lei Song, Department of Physics, School of Physical Science and Technology, Inner Mongolia University, , China

Xi Xia Liang, Inner Mongolia University, Department of Physics, School of Physical Science and Technology, , China

Guo Jun Zhao, Inner Mongolia University, Department of Physics, China

Abstract: The group III-V semiconductors and their alloys are of practical interest and the range of technical applications of such semiconductors is extremely wide. As a kind of ternary alloys, GaxIn1-xP, has been widely applied in optoelectronic and electronic devices. The effect of the alloy composition on physical properties is important and should been investigated in detail. In this work, the electronic band structure and the effective mass of GaxIn1-xP ternary alloy are studied by the first principle calculations. The software QUANTUM ESPRESSO and the generalized gradient approximation (GGA) for the exchange correlations have been used in the calculations. We present the calculated results of the equilibrium lattice parameter, band gap and effective mass of GaxIn1-xP for the Ga composition x varying from 0.0 to 1.0 by the step of 0.125. The effect of the Ga composition on the lattice parameter and the electronic density of states are discussed. The results show that the lattice parameter varies with the composition almost linearly following the Vegard’s law. A direct-to-indirect band-gap crossover is found to occur close to x = 0.7. The effective masses are also calculated along Γ (000) symmetry point. The results show that the band gap and the electron effective mass vary nonlinearly with composition x.
Improvements in the sensibility of MSA-GA tool using COFFEE objective function

Anderson Rici Amorim, São Paulo State University, UNESP, Department of Computer Science and Statistics (DCCE), Brazil

Geraldo Francisco Donega Zafalon, Sao Paulo State University - UNESP/SJRP, Computer Science and Statistics - DCCE, Brazil

Leandro Alves Neves, São Paulo State University (UNESP), Department of Computer Science and Statistics - DCCE, Brazil

Alex Pinto, Universidade Estadual Paulista "Júlio de Mesquita Filho", , Brazil

Carlos Valêncio, Universidade Estadual Paulista "Júlio de Mesquita Filho", , Brazil

José Machado, São Paulo State University, UNESP, Department of Computer Science and Statistics (DCCE), Brazil

Abstract: The sequence alignment is one of the most important task in Bioinformatics, playing an important role in the sequences analysis. There are many strategies to perform sequence alignment, since those use deterministic algorithms, as dynamic programming, until those ones which use heuristic algorithms, as Progressive, Ant Colony (ACO), Genetic Algorithms (GA), Simulated Annealing (SA), among others. The heuristic approaches aim to reduce the disadvantages of deterministic ones, specially in relation to the computational complexity. Although the heuristic approaches have a lower computational complexity, they try to keep the quality in the final results. In this work, we have implemented the objective function COFFEE in the MSA-GA tool, in substitution of Weighted Sum-of-Pairs (WSP), to improve the final results. The MSA-GA is a multiple sequence alignment tool, which uses Genetic Algorithm as its base. This tool presents a lower computational complexity approach when compared with other tools, keeping very good results. Moreover, its modularity allows the implementation of new objective functions on it. The improvement presented in this work describes that the using of an appropriated objective function, generally, results in alignments with more biological significance. The COFFEE function here implemented shows, for the most of tests, good results for sets with lower similarity, which is commonly desired in alignment problems. In the tests, we were able to verify the approach using COFFEE function achieved better results in 81% of the lower similarity alignments when compared with WSP approach. Moreover, even in the tests with more similar sets, the approach using COFFEE was better in 43% of the times.
Nematodynamics modelling under extreme mechanical and electric stresses

Antonino Amoddeo, Università 'Mediterranea' Reggio Calabria, Department of Civil, Energy, Environmental and Materials Engineering, Italy

Abstract: Nematic liquid crystals confined in asymmetric Pi-cells and subjected to intense electrical and mechanical stresses undergo strong distortions which can be relaxed by means of the order reconstruction, a fast switching mechanism connecting topologically different textures, assuming bulk and/or surface characteristics depending on both the amplitude of the applied electric fields and the anchoring angles of the nematic molecules on the confining surfaces. In the frame of the Landau-de Gennes order tensor theory, we provide a numerical model implemented with a moving mesh finite element method appropriate to describe the nematic order dynamics, allowing to map the switching properties of the nematic texture.
Surface Tension, Pressure Difference and Laplace Formula for Membranes

Hiroshi Koibuchi, National Institute of Technology, Ibaraki College, Mechanical and Systems Engineering, Japan

Andrey Shobukhov, Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics, Russian Federation

Abstract: The surface tension $\gamma$ and the pressure difference ${\it\Delta}p$ for spherical membranes are calculated by Monte Carlo simulations. We study the so-called tethered and fluid surface discrete models, which are defined on the fixed-connectivity and dynamically triangulated lattices, respectively. Hamiltonians of the models include a self-avoiding potential, which makes the enclosed volume well defined. The surface tension $\gamma$ is usually calculated on the surface with a boundary $\Gamma$ ($\subset {\bf R}^2$). The area of such surface is called the projected area and is denoted as $A_p$. This area is well defined and its usage of $A_p$ implies that $\gamma$ can be obtained only on the surfaces with a boundary. Hence it also implies that we've got no numerical technique to obtain $\gamma$ for spherical membranes without boundaries. In this study, we use the real area $A$ instead of $A_p$ to calculate $\gamma$ for spherical membranes and check whether this replacement of $A_p$ by $A$ is acceptable or not. We find that there is a reasonable accuracy in the technique for the calculation of $\gamma$ using the real area $A$ in the whole region of bending rigidity $\kappa$ except for $\kappa\!\to\!0$. At the small $\kappa$ region, where the surface highly fluctuates, we see a discrepancy in some data corresponding to $\gamma$ and ${\it\Delta}p$. However this discrepancy comes only from the large deviation of $A$ from $A_p$ at the small $\kappa$ region. Thus, our results show that the calculation of $\gamma$ using $A$ is sufficiently accurate in the non-zero $\kappa$ region. We also find that $\gamma$ becomes constant in the limit of $A/N\to \infty$ both in the tethered and fluid surfaces. The property $\lim_{A/N\to \infty}\gamma={\rm const.}$ corresponds to certain experimental results in cell biology.
Approximate analytical channel potential model of poly-Si thin film transistors operated in the strong inversion region under the high gate and low drain biases

Zhen Zhu, Suzhou Vocational University, , China

Junhao Chu, East China Normal University, , China

Abstract: An approximate analytical channel potential model of polycrystalline silicon thin film transistors operated in the strong inversion region under the high gate and low drain biases is proposed. Thus, the linear relationship between the channel potential and the drain voltage is derived in the strong inversion region under the above bias condition when the polysilicon layer is ultrathin. This model agrees with the two-dimensional-device simulation results under different gate voltages, different drain voltages and different channel lengths. By comparing the relative errors between the model and the simulation results, it presents that this model is more suitable under the higher gate voltage Vg or the lower drain voltage Vd, regardless of the channel length. And this approximate analytical model is helpful in solving the two-dimensional-device problem by one-dimensional Poisson’s equation since the drain bias is taken into account in the channel potential.
First-principle studies of phonons and thermal properties of AlN in wurtzite Structure

J.Q. Fu, Inner Mongolia University, Physical Science and Technology, China

Tie Lei Song, Department of Physics, School of Physical Science and Technology, Inner Mongolia University, , China

Xi Xia Liang, Inner Mongolia University, Department of Physics, School of Physical Science and Technology, , China

Guo Jun Zhao, Inner Mongolia University, Department of Physics, China

Abstract: Group-III nitrides have attracted considerable attention during the past decade due to technological applications in the optoelectronic and electronic devices. Aluminum nitride is one of the important materials among them. It has high thermal conductivity, high melting point, large bulk modulus, and large band gap. In this work, we calculate the band structure, density of states, phonon dispersion and thermodynamic properties of A1N in wurtzite structure based on the first-principle with the software QUANTUMESPRESSO. The local density approximation (LDA) and the generalized gradient approximation (GGA) exchange- correlation potentials are applied in the calculations. The results show that A1N belongs to direct band gap semiconductor. The phonon dispersion characteristics and thermodynamic properties are discussed in detail. The obtained results for the entropy S and the constant-volume specific heat CV as functions of the temperature T based on GGA and LDA are given. CV and S increase with the increasing T. Both the values of S and CV by LDA are slightly lower than those by GGA. The calculated values are in agreement with available experimental data.
On Modelling Quantum Potential Flow

KUO CHUNG HSUAN, Department of Aeronautics and astronautics, NCKU, , Afghanistan

Abstract: In this paper, a new hydrodynamic formulation of complex-valued quantum mechanics is derived to reveal a novel analogy between the probability flow and the potential flow on the complex plane. For a given complex-valued wavefunction , , we first define a complex potential function with and then prove that the streamline lines and the potential lines in the potential flow defined by are equivalent to the constant-probability lines and the constant-phase lines in the probability flow defined by . The discovered analogy is very useful in visualizing the unobservable probability flow on the complex plane by analogy with the 2D potential flow on the real plane, which can be visualized by using dye streaks in a fluid laboratory.
THE PROBLEM BY CHOICE OF PRECEDENT WITH EXAMPLE OF DATA ENCRYPTION ALGORITHMS

Ayman Iskakova, L.N. Gumilyov Eurasian National University, Department of Mechanical and Mathematics, Kazakhstan

Abstract: In this work the process of operational withdrawal of knowledge matrix on precedent described situational vectors realization of computing technique is presented. The new method of withdrawal precedent and its application in data encryption algorithms are presented.
Risk management mechanism of payment transactions

Ayman Iskakova, L.N. Gumilyov Eurasian National University, Department of Mechanical and Mathematics, Kazakhstan

Abstract: The mechanism of protection of smart card software from unauthorized copying based authentication based on symmetric has presented
Group theory Analysis of the Magnetic Structures in Rare Earth Iron Garnets revisited

Mahieddine LAHOUBI, Badji Mokhtar-Annaba University, Faculty of Sciences , Physics, Laboratory, L.P.S., Algeria

Abstract: The rare earth iron garnets with general formula REIG (where RE is a trivalent rare earth ion or the yttrium) discovered by Bertaut and Forrat [1] have been extensively studied during the last decades for the large application as well as fundamental works. Nevertheless, it appears up today that the magnetic and dielectric properties of these ferrimagnets are not achieved as indicated by the large magnetodielectric (MD) effects in low external magnetic fields and at low temperatures revealed by Hur et al. [2] and Song et al. [3] respectively in TbIG and DyIG. The magnetic ions are distributed over the three crystallographic sites of the paramagnetic space group (G) Ia-3d No. 230, RE ions in dodecahedral {24c} sites, and the iron Fe in both octahedral [16a] and tetrahedral (24d) sites respectively. According to the Néel theory of ferrimagnetism [4], the magnetic moments of the RE ions form below the Néel temperature (TN) (which is the same in all REIG (≈ 560 K) [5]) a collinear arrangement antiparallel to the resultant Fe magnetization along the [111] crystallographic direction which is the easy axis of magnetization in a given domain without external magnetic field. At low temperatures, due to the competition between three types of anisotropies (spin-orbit coupling, crystalline field and RE–Fe superexchange interactions) complicated noncollinear arrangement appears with the rhombohedral distortion from the space group cubic G to its highest subgroup (G’) R-3c No. 167. The ''representation analysis'' devised and developed by Bertaut for the determination of magnetic structures [6, 7] and the generalized identification method of Olbrychski [8, 9] of the irreducible representations (irreps) of G and G’ are applied here. These elegant group theoretical techniques are used in the interpretation of our recent neutron powder diffraction studies of the temperature evolution of the ''double umbrella'' magnetic structure observed in TbIG and DyIG [10-12] and the occurrence of the MD effects in these compounds is discussed. According to the concept of the single irrep developed by Izyumov [13] and to the fact that the third power of the three-dimensional irrep of G, (Г4g = T1g)3 contains always the identity representation [14], one can conclude that the magnetic anomaly at the so called low-temperature point of Belov (TB = 54 K) cannot be a second order phase transition, despite the low-T symmetry is a subgroup of the high-T symmetry. [1] E. F. Bertaut, and F. Forrat, C. R. Acad. Sc. Paris, vol. 242 (1956) 382. [2] N. Hur, S. Park, S. Guha, A. Borissov, V. Kiryukhin, and S.-W. Cheong, Appl. Phys. Lett., vol. 87, (2005) 042901. [3] K. M. Song, Y. A. Park, K. D. Lee, B. K. Yun, M. H. Jung, J. Cho, J. H. Jung, and N. Hur, Phys. Rev. B 83 (2011) 012404. [4] L. Néel, Ann. Phys., t. 3 (1948) pp. 137-198. [5] R. Pauthenet, Thesis Grenoble, France, n°. Ordre 81, pp.1-38, 1958. [6] E. F. Bertaut, Acta Cryst. A. 24 (1968) 217. [7] E. F. Bertaut, J. Phys. Colloque C1, suppl. n°. 2-3, vol. 32 (1971) C1- 462. [8] E. F. Bertaut, C. R. Acad. Sc. Paris, vol. 268 (1969) 281. [9] K. Olbrychski, Phys. Stat. Sol., 3, (1963) 2143. [10] M. Lahoubi, “Temperature evolution of the double umbrella magnetic structure in terbium iron garnet”, in Neutron Diffraction, (Ed) I. Khidirov, (2012) Chap. 10, pp. 203-230. [11] M. Lahoubi, Journal of Phys. Conf. Ser., 340 (2012) 012068. [12] M. Lahoubi, W. Younsi, M.-L. Soltani, and B. Ouladdiaf, Journal of Phys. Conf. Ser., 200 (2010) 082018. [13] Yu. A. Izyumov, Physics–Uspekhi, vol. 23, 356−274, 1980 [14] L. D. Landau, and E. M. Lifshitz, Statistical physics, Pergamon Press, 1969.
An Axisymmetric Contact Problem for an Elastic Layer Subjected to a Tensile Stress Applied Over an Annular Region

Kebli Belkacem, Ecole Nationale Polytechnique, Mechanical Engineering, Algeria

Abstract: The study is concerned with an axisymmetric contact problem for an elastic layer on which a tensile uniform stress is applied on the bottom over an annular hole while the lower surface is rigidly clamped. By using the Hankel integral transforms method we reduce the three-part mixed boundary value problem to a system of triple integral equations. With the help of the Gegenbauer formula and some integral representations of the Bessel function, we get an infinite system of algebraic equations for determining the unknown function. The expressions of the stress intensity factors are given analytically. Some quantities of physical interest are shown graphically followed by a discussion of the effect of the radii of the hole as well as the medium thickness on the layer deformation.
Precise Approximated Solution for the Bohm Sheath Potential

Pablo Martin, Antofagasta University, Physics, Chile

Luis Antonio Cortes Vega, Antofagasta University, Mathematics , Chile

Abstract: The Poisson equation for the plasma sheath potential near a wall, leads to a non-lineal differential equation, whose analytic solution is not know. The usual approximation taking only the first term does not give good accuracy. Other approximations taken two additional terms gives better accuracy , but it fails to give high accuracy in the intermediate region . Here we present an analytic approximations using quasi-rational multipoint approximation method (MPQA), which leads to new analytic approximate solution with much higher accuracy, and very precise results not only near wall and far away, but also in the transition region, Absolute values of the maximum per cent error as a function of the wall potential will be present. Other several figures showing thess new analytic solutions as a function of the relevant parameters for this problem. The advantages of the present solution compared with those of pervious works will be shown.
Reduction Solutions Related to the Residual Symmetry for a (2+1)-Dimensional Burgers Equation

Jianping FANG, Lishui University, , China

Abstract: The residual symmetry, coming from the standard truncated Painlev\'{e} expansion of a (2+1)-dimensional Burgers equation, is localized in the properly prolonged system with the Lie point symmetry vector. Some different transformation invariance are derived through the obtained symmetries. Further, reduction solution, especially interactive solution is obtained through a generalized tanh function expansion approach.
Effective mass Schrödinger equation with Thomas-Fermi potential

Gerardo Ovando, Universidad Autonoma Metropolitana, DCBI - Ciencias Básicas , Mexico

Jose Juan Peña Gil, Universidad Autonoma Metropoitana Azc., Ciencias Básicas, Mexico

Jesús Morales, Universidad Autónoma Metropolitana, DCBI- Ciencias Básicas, Mexico

Abstract: The exactly-solvable position-dependent mass Schrödinger equation (PDMSE) for the Thomas-Fermi potential is presented. This model has recent interest because its applications to δ-doped semiconductor structures. To that, the PDMSE is transformed into a standard Schrödinger equation with constant mass (CMSE) with the aim to obtain the transformation that should be used to find the exactly solvable CMSE. In that case, the potential associated to the PDMSE and the potential involved in the CMSE are connected through a Riccati-type relationship which includes a superpotential that determines the position-dependent mass distribution m(x) leading to exactly-solvable PDMSE. To attain the purpose of this work, we assume that the superpotential is constant to find m(x) and consequently an exactly-solvable PDMSE for the Thomas-Fermi potential. Orthogonal eigenfunctions and normalization constants are determined in closed form by developing the particular details involved in the Sturm-Liouville theory for the corresponding CMSE. It is proved that the eigenstates are those of definite parity with eigenvalues expressed through the order of the Bessel functions of the first kind. Beyond the case considered in this work, the approach is general and can be useful in the study of electronic properties of non-uniform materials in which the carrier effective mass depends on the position as well as in the search of new solvable potentials suitable for quantum systems.
A Simulation-Based Evaluation of Local Fluxes of Secondary Cosmic Rays at Tehran

Zahra bagheri, Research Institute for Astronomy and Astrophysics of Maragha, , Iran (Islamic Republic of)

Pantea Davoudifar, Research Institute for Astronomy and Astrophysics of Maragha, Astroparticle Physics, Iran (Islamic Republic of)

Abstract: Carrying segments, instruments and small detectors up to the upper atmosphere is a difficult and expensive task. So to evaluate the errors (hard and soft) caused by cosmic rays on onboard parts of a satellite, ordinarily ground-based experiments were being designed to evaluate these errors. In this paper taking the advantage of simulation, the local fluxes of secondary cosmic rays were calculated for Tehran (51°, 35 °). OMERE software were used to get the appropriate fluxes of cosmic rays at the first interaction level of the earth atmosphere with the height of 112.8 kilometers. Considering a flat surface on interaction level, appropriate area and energies were calculated and used to interpret the results of CORSIKA simulations. The local fluxes of secondaries of different types were calculated for Tehran.
Scattering of vortex-antivortex pair by single quantum vortex in a Bose-Einstein Condensate.

Lev A. Smirnov, Institute of Applied Physics of the Russian Academy of Sciences (IAP RAS), Nonlinear electrodynamics department, Russian Federation

Aleksander I. Smirnov, Institute of Applied Physics of the Russian Academy of Sciences (IAP RAS), , Russian Federation

Abstract: Dynamics of vortex structures and their interaction with each other in many respects determine key aspects of evolution for the ultracold Bose gas cloud with the repulsing interaction between atoms. Quantum vortices are associated with the breaking of the superfluidity mode and the transition of the Bose-Einstein condensate (BEC) to the turbulent state. Thus, it is important to make a maximal progress in solving the problem of describing different kinds of motion for interacting vortex formations. In the case when the distance between a vortex and an antivortex is substantially smaller than the characteristic scale of the medium inhomogenity the distributions of both the density and the velocities field in vortex pairs are similar to those that take place for the homogeneous flow-free condensate in the correspoding solitary solutions of the Gross-Pitayevsky (GP) equation. In this case one may introduce a concept of the “two-dimensional dark quasisolitons”. Such quasisolitons represent the dips of BEC concentration, propagating in the inhomogeneous Bose gas at subsonic velocities with acceleration and, generally speaking, along the curved paths. We have developed the asymptotic theory describing behaviour of two-dimensional quasisolitons structures in a smoothly inhomogeneous condensate. Using this theory in the case of the quasisolitons motion in the smoothly inhomogeneous small flows of BEC we have succeeded in detailed analizing and explaining peculiarities of scattering for vortex-antivortex pairs on a single vortex. The results of the direct numerical simulation performed within the framework of the GP equation have demonstrated a good agreement with the developed theory.
Analytic approximations to the energy eingenvalues of the quadratic Zeeman effect in 2-D for hydrogenlike atoms

Pablo Martin, Antofagasta University, Physics, Chile

Flavio Citti, Simon Bolivar University, Physics, Venezuela

Enrique Castro, Simon Bolivar University, Physics, Venezuela

Luis Antonio Cortes Vega, Antofagasta University, Mathematics , Chile

Abstract: Analytic energy eigenvalues approximations have been found for the 2-D quadratic Zeeman effect in hydrogenlike atoms. Here a new technique has been used, which is an extension of the two-point quasirational approximation (TPQA) technique, previously used for the same problem . In our previous calculations, two expansions were used, one for small values of the magnetic field and other for large values, that is, expansions around zero and the infinity were determined. Later a bridge between both expansions was built using simple auxiliary functions as well as rational ones. In the present paper expansions around intermediate points were also determined, and used. In this way, the corresponding analytic bridge function is determined, taken care also of these new expansions, so the technique is a multiple point quasirational approximation (MPQA). The calculations are carried out for the ground state 1s and the excited states 2p- and 3d- . These results are now much better than those obtained in previous works . We will also show the advantage of our approximants with respect to other approximations.
Bound state solutions of D-dimensional Feynman propagator for the q-deformed Woods–Saxon potential

Ahmed Diaf, Laboratory of Energy and Smart Systems, Khemis Miliana University, Sciences and Technology, Algeria

Abstract: Using the space-time transformations, approximate analytical solutions of the D-dimensional propagator in the presence of q-deformed Woods–Saxon potential are obtained. The analytical expression of the energy eigenvalues is given for various quantum numbers and the corresponding normalized eigenfunctions are obtained in terms of hypergeometric function. Our results are compared with those given by The Nikivorov-Uvarov method.
Designing a Supply Chain Network on the Basis of Variational inequality

Mohammad Alizadehjamal, Islamic Azad University, Department of Mathematics, Science and Research Branch, Iran, Islamic Republic Of

Abstract: Increasing developments and changes in the field of production and business resulted in rising and development of concepts including supply chain and supply chain management. Supply change management from 190s onward developed increasingly among scientific societies, companies and industries and aimed at establishing cooperation among suppliers, lowering the costs, satisfying the needs of customers, increasing purchasing ability, profits and competitive advantages. The method applied in this study is Modified Image Method that is a common method to solve variational inequality. It assumes that K is a possible space and F is a function that acts in monotonous and Leap Sheets conditions. The method to solve inequality is proved and to apply it generally it was used on different issues with specified capacities. The result of proving the method of solution showed that it is an appropriate and reliable method to solve problems of chain supply management.
High Performance Computing of Meshless Time Domain Method on Multi-GPU Cluster

Soichiro Ikuno, Tokyo University of Technology, School of Computer Science, Japan

Yuta Hirokawa, University of Tsukuba, Graduate School of Systems and Information Engineering, Japan

Taku Itoh, Tokyo University of Technology, , Japan

Susumu Nakata, Ritsumeikan University, College of Information Science and Engineering, Japan

Abstract: High performance computing of Meshless Time Domain Method (MTDM) on Multi-GPU cluster is numerically investigated, and the electromagnetic wave propagation simulation is achieved by using parallelized MTDM on Multi-GPU. Generally, Finite Difference Time Domain (FDTD) Method is adopted for the simulation of the electromagnetic wave propagation phenomena. FDTD has great advantages in terms of parallelization and the scheme of FDTD is a transparent algorithm. However, a numerical domain must be divided in to rectangle meshes, and it is difficult to treat the problem in the complexed shaped domain. On the other hand, a meshless approach does not require meshes of a geometrical structure, and various meshless approaches such as the Radial Point Interpolation Method (RPIM) have been developed. In particular, meshless approaches based on RPIM are applied to time dependent problems, and the method is called Meshless Time Domain Method. The Graphics Processing Unit (GPU) is one of the most progressive device in recent years, and various researches of General Purpose computing on GPU (GPGPU) have been proposed aggressively. The results of computation show that the execution time of the time evolution calculation on GPU with various parallelization techniques is about 54 time faster than that of serial CPU.
Organization model for Mobile Wireless Sensor Networks (MWSN) inspired in Artificial Bee Colony (ABC)

Guilherme Roberto, São Paulo State University (UNESP), , Brazil

Luis Maschi, Federal Institute of São Paulo (IFSP) - Campus Catanduva, Informática, Brazil

Daniel Fernando Pigatto, Institute of Mathematics and Computer Sciences (ICMC) / University of São Paulo (USP), , Brazil

Carlos Montez, Federal University of Santa Catarina (UFSC), , Brazil

Leandro Neves, São Paulo State University, DCCE, Brazil

Kalinka Branco, Institute of Mathematics and Computer Sciences (ICMC) / University of São Paulo (USP), , Brazil

Alex Sandro Pinto, Universidade Federal de Santa Catarina, Câmpus de Blumenau, Brazil

Abstract: Wireless sensor networks (WSN) are a special type of computer networks, which basically aim at monitoring and tracking a specific area, typically with military, environmental or industrial purposes. These networks are considered a type of Ad Hoc network, and are composed of small computational nodes usually with limited processing capacity, capable of environment sensing and messages routing through radio frequency. A major problem in this type of networks is the energy consumption required for nodes operations, usually derived from batteries. The exchange of messages between nodes and data collection stations is the largest energy consumer within a typical WSN. Mobile wireless sensor networks (MWSN) are an interesting alternative to solve the problem of communication range, which usually is subjected to the limitations of a WSN. However, due to the mobility of nodes in a MWSN, these networks require frequent reformulations in route for forwarding messages to the base. Considering all the aspects mentioned above, the purpose of this study is to find a self-organizing model for MWSN based on bee colonies in order to reduce the number of messages transmitted among nodes, and thus reduce the overall consumption energy while maintaining the efficiency of message delivery. The results obtained in this article are originated from simulations carried out with SINALGO software, which demonstrates the effectiveness of the proposed approach. The BeeAODV (Bee Ad-Hoc On Demand Distance Vector) proposed in this paper allows to considerably reduce message exchanges whether compared to AODV (Ad-Hoc On Demand Distance Vector).
First-principle studies of lattice and electronic structure of BexZn1-xO

X.Lei, Inner Mongolia University, Physical Science and Technology, China

Guo Jun Zhao, Inner Mongolia University, Department of Physics, China

Xi Xia Liang, Inner Mongolia University, Department of Physics, School of Physical Science and Technology, , China

Tie Lei Song, Department of Physics, School of Physical Science and Technology, Inner Mongolia University, , China

Abstract: With the development of optoelectronics industry, II-VI wide-gap semiconductor zinc oxide has become a great importance to the photoelectric material, and it was used widely in ultraviolet light photoelectric devices. The causes of study ZnO alloy is due to its easy to doping ternary alloy formation mechanism and it is easy to meet the needs of a variety of optoelectronic devices. In this paper, beryllium doped zinc oxide(BexZn1-xO) ternary alloy was studied based on the density functional theory. After lattice structure and atomic position optimization for different doping concentration BexZn1-xO (x=0, 0.125, 0.25, 0.375, 0.5, 0.625, 0.75, 0.875 and 1, respectively), the lattice parameters for the stable structure and the band gap of BexZn1-xO are obtained. It turned out that the lattice constants a and lattice constants c decrease linearly as Be doping concentration increases, compliance with Vegard's law, the lattice parameters of the BexZn1-xO ternary alloys are consistent with experimental results. Band gap increases with increasing Be content, and the band gap values are fixed. Furthermore, the density of states of BexZn1-xO is calculated, the results shown that the valence band maximum (VBM) occupied by O2p states, and the conduction band minimum (CBM) occupied by Zn4s states. As Be doping, Zn 4s states dominate the conduction band and the conduction band bottom position constantly moving to higher energy region. Density of states strength Zn 4s states with decreasing proportion of Zn is constantly reduced.
Mathematical modeling of high-strain-rate deformation, kinetics of alpha-epsilon-phase transition, as well as nucleation, growth and recompaction of spall damage for recovered samples of quenched 30KhGSA steel under explosive loading

Natalia Zhilyaeva, Russian Federal Nuclear Center-Zababakhin Russian Science Research Institute of Technical Physics, , Russian Federation

Abstract: Advanced models for shear and spall strengths of the quenched 30KhGSA steel (HRc35...40) are described to take into account the reversing solid-state alpha-epsilon-phase transition, as well as the setup and results of earlier experiments with registration under two explosive loading modes of the two-, and three-wave configurations of stress waves in samples having different initial thickness. Consideration is given to the main theoretical predictions and simulation results for explosive experiments wherein wave profiles in the quenched 30KhGSA steel were registered with the help of streak-camera using the optical lever method and with the help of laser-interferometry using the Fabry-Perot and PDV methods. Comparing the calculated wave profiles with the measured ones, as well as comparing the predicted locations of the spall and shear micro-, meso-, and macrodamage zones with those observed on micro-, and macrophotographs of recovered samples cross-sections indicates that our calculations adequately describe wave processes in samples of the quenched 30KhGSA steel taking into account the elastic-plastic properties, direct and reverse alpha-epsilon-phase transition in stress waves, as well as kinetics of nucleation, growth, and recompaction of spall and shear damages.
DFT/TDDFT CALCULATIONS OF GROUND AND EXCITED STATES OF CIS AND TRANS 1, 3 INDANEDIOL

Moussaoui Yahia, Universite des sciences et de la technologie houari boumediene, Chimie physique, Algeria

Souhila Rezzouk, Université des Sciences et de la Technologie Houari Boumediene, Department of Chimie Physique, Algeria

Abstract: The system 1, 3-indanediol is presented under two isomers of cis and trans configurations the cis 1, 3-indanediol was used as a building unit in the synthesis of a new aromatic polyester obtained by poly-condensation. The ground state of cis and trans 1,3-indandiol were optimized by using the B3LYP DFT approach in combination with the basis set 6-31G*. The cis form have been found more stable than the trans configuration. This observation is in good agreement with experimental results. The excited states of our system were computed using Time dependent-Density Functional Theory (TD-DFT). References: [1] H. Guemmour, F. Carrière, A. Benaboura, Polym. Bull. 1-6 (2001) 46.. [2] E. Runge, E.K.U. Gross, Phys. Rev. Lett. 52, 997–1000 (1984). [3] E.K.U. Gross, C.A. Ullrich, U.J. Gossmann, Density Functional Theory, NATO ASI Series, Plenum, New York, pp. 149–171(1994). [4] R. van Leeuwen, Int. J. Mod. Phys. B 15, 1969 (2001). [5] M.A.L. Marques, E.K.U. Gross, Annu. Rev. Phys. Chem. 55, 427–455 (2004).
AB INITIO STUDY OF NEW COMPLEXES OF IMIDAZOLE AND SUBSTITUTED IMIDAZOLE WITH Zn ATOMS

Nait Achour Madjid, Universite des Sciences et de la Technologie Houari Boumediene, Chimie Physique, Algeria

Abstract: Imidazole and its derivatives are involved in important biological processes where they play a variety of roles [1]. Imidazole is also well known to adsorb and form strong complexes with transition metal ions[2]. Bonding between metal ions and imidazole ligands is very common in nature and many examples of metals in metalloproteins coordinated by imidazole have been reported [3]. Among these metals are found Zn2+ ions which are key structural components in a large number of metalloproteins. In the present work, a series of new compounds formed by imidazole ring and its derivatives with several Zn atoms, in which the first atom of Zn is formally in the +2 oxidation state and the others atoms are in their neutral state, are reported and studied theoretically. Thereby, both Density Functional Theory (DFT) and Moller Plesset (MP2) calculations were performed for these complexes. The elucidation of the structures of these complexes was made using the 6-311++G** function basis set. We evaluate the binding energy taking basis set superposition error (BSSE) and zero point vibrational energy (ZPVE) correction into account, as we calculate the IR spectrum, heats of formation and thermodynamic properties for all the obtained complexes. Harmonic vibrational frequencies calculations confirm that these elucidated structures are stable. All the calculations were performed using Gaussian 03 program. [1] (a) H.C. Freeman, in G.L. Eichhom (ed), Inorganic Biochemistry, Elsevier, New York, 1973, Ch.4 (b) R.J.Sundberg and R.B.Martin, Chem. Rev.,74(1974)471. [2]J.Hedin, D.Issaksson, M.Andersson, M.Nyden,J.of Colloid and Intrface Science 336(2009) 388-392. [3]J.M.Guss and H.C.Freeman, J.Mol.Biol.,169 (1983) 521.
Arbitrary l state solutions of the Feynman propagator with the Deng-Fan molecular potential

Ahmed Diaf, Laboratory of Energy and Smart Systems, Khemis Miliana University, Sciences and Technology, Algeria

Abstract: The bound state solutions of the Feynman propagator with the rotating Deng-Fan molecular potential are presented approximately. An approximation of the centrifugal potential is used and nonlinear space-time transformations are applied. A relation between the original path integral and the Green function of a new quantum soluble system is derived. The energy spectrum and the normalized eigenfunctions are both obtained for the application of this technique to the Deng-Fan molecular potential. Our results are in very good agreement with those found by using numerical and other methods.
Searching for AdS3 waves and Asymptotically Lifshitz black holes in R3-NMG

Giorgos Anastasiou, Universidad Andres Bello, Physics Department, Chile

Abstract: In this paper we consider the structure of the AdS3 vacua in R3 expansion of New Massive Gravity (R3-NMG). We obtain the degeneracies of the AdS3 vacua at several points of the parametric space. Additionally, following a speci c analysis we show that AdS3 wave solutions are present. Using these wave solutions, we single out two special points of the parametric space for which logarithmic terms appear in the solutions. The rst one is a point at which the e ective mass of the wave pro le, which is interpreted as a scalar mode, completely saturates the Breitenlohner- Freedman bound of the AdS3 space in which the wave is propagating. The second special point is a point at which the central charge of the theory vanishes. Furthermore, we investigate the possibility of asymptotically Lifshitz black hole solutions to be present in the three-dimensional R3-NMG. We derive analytically the Lifshitz vacua considering speci c relations between the mass parameters of R3-NMG. A certain polynomial equation arises at the rst special point where solutions with logarithmic fallo in the AdS3 space appear. Solving this polynomial equation, we obtain the values of the dynamical exponent z which correspond to possible asymptotically Lifshitz black hole solutions. However, it is shown that asymptotically Lifshitz black hole solutions do not exist in the three-dimensional R3-NMG for a speci c ansatz of the black hole metric.
Monte-Carlo investigation of proton pencil beam effects in the rectangular target, with using GEANT4 code

Seyed Ali Mahdipour, Hakim Sabzevari University, , Iran (Islamic Republic of)

Abstract: Radiotherapy with hadron beams like proton have been used for treatment of different cancers for many years. Determination of the particle’s deposited dose in the different tissues of budy is very important in radiotherapy and medical physics. GEANT4 Monte Carlo code reused for considering this effect. Simulation results help us to determine the physical parameters exactly. In this article we have calculate the total depth and lateral dose profiles for the 110 - 220 MeV proton pencil beams in the arbitrary rectangular target made of skin, adipose and tumor tissues. The material of tissues are taken from compositions of the ICRU 46. The results of this Monte Carlo code has a good agreement experiment data. moreover 2D depth dose profiles for the proton beam has been calculated in the phantom.
Meteorological time series forecasting based on MLP modeling using heterogeneous transfer functions

Voyant Cyril, University of Corsica, , France

Abstract: In this paper we propose to study four meteorological and seasonal time series coupled with multi-layer perceptron (MLP) modeling. We choose to combine two transfer functions in one heterogeneous function and to use a temporal indicator (time index as input) in order to take into account the seasonal aspect of the studied time series. The results of the prediction concern two years of never-used data (8 years for the learning step) and show that this methodology can improve the accuracy of meteorological data estimation compared to a classical MLP modeling with homogenous transfer function. The time index is the tool giving the best results for all cases, while in 75% of the cases it is for the use of the heterogeneous transfer function. For the time series with low variation coefficient, the lowest nRMSE is under 10% whereas for the other (solar irradiation and wind speed) the nRMSE is close to 30%.
AB INITIO STUDY OF NEW COMPLEXES OF IMIDAZOLE AND SUBSTITUTED IMIDAZOLE WITH Zn ATOMS

Nait Achour Madjid, Universite des Sciences et de la Technologie Houari Boumediene, Chimie Physique, Algeria

Abstract: Imidazole and its derivatives are involved in important biological processes where they play a variety of roles [1]. Imidazole is also well known to adsorb and form strong complexes with transition metal ions[2]. Bonding between metal ions and imidazole ligands is very common in nature and many examples of metals in metalloproteins coordinated by imidazole have been reported [3]. Among these metals are found Zn2+ ions which are key structural components in a large number of metalloproteins. In the present work, a series of new compounds formed by imidazole ring and its derivatives with several Zn atoms, in which the first atom of Zn is formally in the +2 oxidation state and the others atoms are in their neutral state, are reported and studied theoretically. Thereby, both Density Functional Theory (DFT) and Moller Plesset (MP2) calculations were performed for these complexes. The elucidation of the structures of these complexes was made using the 6-311++G** function basis set. We evaluate the binding energy taking basis set superposition error (BSSE) and zero point vibrational energy (ZPVE) correction into account, as we calculate the IR spectrum, heats of formation and thermodynamic properties for all the obtained complexes. Harmonic vibrational frequencies calculations confirm that these elucidated structures are stable. All the calculations were performed using Gaussian 03 program. [1] (a) H.C. Freeman, in G.L. Eichhom (ed), Inorganic Biochemistry, Elsevier, New York, 1973, Ch.4 (b) R.J.Sundberg and R.B.Martin, Chem. Rev.,74(1974)471. [2]J.Hedin, D.Issaksson, M.Andersson, M.Nyden,J.of Colloid and Intrface Science 336(2009) 388-392. [3]J.M.Guss and H.C.Freeman, J.Mol.Biol.,169 (1983) 521.
Activation energy of disordering lattices superionic crystals LnF3 (Ln = La, Ce, Pr): experimental results and quantum-chemical calculations

Sirojiddin Mirzaev, Instituteof Ionic, Plazma and Lazer Technology, , Uzbekistan

Valeriy Krivorotov, Instituteof Ionic, Plazma and Lazer Technology, , Uzbekistan

Georgiy Nujdov, Institute of Ionic, Plazma and Lazer Technology , , Uzbekistan

Abstract: The lattice disordering in superionic crystal LaF3 investigated by inelastic light scattering spectroscopy and quantum-chemical calculations energy process. Based on analysis of the line widths of Raman scattering in the crystal LaF3 found that the values of the activation energy Ea = 0.18 eV F1 sublattice disordering in the insulating phase and 0.04 eV for the superconductive phase. Quantum-chemical calculations of the potential relief in the LaF3 cluster ions of 1200 proved that the energy Ea of defect vacancy- interstitial fluorine ion equal 0.16 eV when moving to an interstitial single ion F1 ( insulating phase ) and 0.03 eV for the movement of ions in the superionic phase F1 . On the basis of quasi-elastic light scattering in LaF3 shown that potential barriers Ed that impede the movement of ions F1, decrease from 0.28 eV ( insulating phase ) to 0.07 eV in the superionic phase . The results lead to an important conclusion for the physics of superionic conductors : Ed and Ea values ​​obtained for the insulating phase ( T
Mathematical Tools for Discovery of Nanoporous Materials for Energy Applications

Maciej Haranczyk, Lawrence Berkeley National Laboratory, Computational Research Division, United States

Richard Martin, Lawrence Berkeley National Laboratory, Computational Research Division, United States

Abstract: Porous materials such as zeolites and metal organic frameworks have been of growing importance as materials for energy-related applications such as CO2 capture, hydrogen and methane storage, and as catalysts. The current state-of-the-art molecular simulations allow for accurate in silico prediction of materials’ properties but the computational cost of such calculations prohibits their application in the characterization of very large sets of structures, which would be required to perform brute-force screening. Our work focuses on the development of novel methodology to harness this complexity of the materials space. In particular, we have been developing algorithms and tools for enumeration and characterization of porous material databases as well as efficient screening approaches. The latter include similarity-based, optimization-based approaches as well as application of structure-property relationships. Our methodology represents a “soup” of mathematical methods. We have used Voronoi tessellation-based techniques to enable high-throughput structure characterization and comparison, PDE-based techniques to predict guest-molecule accessibility, and continues and discrete optimization to design materials. The resulting hybrid material discovery suite requires expensive characterization only for carefully selected and statistically relevant subset of a database, therefore enabling discoveries at a minimal computational cost. Our presentation will give an overview of recent developments as well as highlight few interesting applications.
Firewalls: arising from vaccum?

Luis Cabarique, Universidad Nacional de Colombia, Departamento de Física, Colombia

Robel Arenas, Universidad Nacional de Colombia, Observatorio Astronómico Nacional, Colombia

Abstract: The appearance of a firewall near a black hole has caused great controversy. In this paper we discuss the black hole firewall centering in the vaccum properties of each corresponding observer in (1+1)-dimensions. From this properties we found that the horizon appears naturally as a massless radiating Shell, but it no necessarily is the same firewall proposed as a possible solution to an apparent inconsistency in black hole complementarity.
Numerical study of the propagation of train of chirped vector solitons in birefringent optical fibers with variable coefficients

Siham Aziez , Université Hadj-Lakhdar de Batna, Département de Science de la Matière, Faculté des Sciences, Algeria

Derradji Bahloul, Université El Hadj Lakhdar de Batna, Sciences de la Matière, Algeria

Abstract: We study numerically in this work the propagation of train of chirped vector solitons in birefringent optical fibers with variable coefficients using the compact split step Padé scheme (CSSPS) [5]. Generally, the propagation of managed vector solitons in birefringent optical fibers is governed by the coupled NLS equations with variable coefficients which are not integrable, but may possess exact solitary-wave solutions (vector solitons) in some particular cases.
Generalized Radon Inversion from an Efficient Number of Moment Based Projections Applied on Computerized Tomography

Spiros Chountasis, Independent Power Transmission Operator, Department of Systems & Infrastructure, Greece

Abstract: This paper presents a new method for image computerized tomography that is based on the usage of a generalized inversion that is rotation-invariant utilizing Radon and time-frequency transforms. The proposed technique employs the Fourier and Haar coefficients for spectral and spatial moment based image analysis, respectively. It provides a new approach to the problem of tomographic image reconstruction where an X-ray image obtained from a set of line projections. The experimental evaluation of the scheme leads to the conclusion that the increased selectivity of the method provides a faster and more robust approach to the problem. The method has been tested by reconstructing a commonly used tomography image at the presence of blur caused by uniform linear motions. The noise during normal transmission process is another issue that is considered in the current work.
Keto-enol tautomerism in 5- and 6-azauracils in water solution

Nadezhda Markova - Petrova, Institute of Organic Chemistry with Centre of Phytochemistry, Bulgarian Academy of Sciences, , Bulgaria

Abstract: Ab initio quantum chemical investigations on the tautomeric equilibrium in 5- and 6-azauracils in water were performed. The solvent effects were considered by explicit inclusion of two pairs of water molecules, which model a first hydration shell around the solute. The effects of the water as solvent were introduced at two different levels - using solute-solvent clusters (four water molecules) and using the same clusters embedded in an external continuum. Full geometry optimizations of these complexes were carried out at MP2/6-31+G(d,p) and C-PCM/MP2/6-31+G(d,p). Single point calculations were performed at CCSD(T)/6-31+G(d,p)//MP2/6-31+G(d,p) computational level to obtain accurate energies. According to our calculations, hydrated azauracils should exist in three forms: mainly dioxo form and two hydroxy forms. The calculated proton transfer activation energies for the tautomeric reactions of 5-azauracil and 6-azauracil show different pictures for these two compounds. According to C-PCM/MP2/6-31+G(d,p) data water-assisted proton transfer in 5-azauracil occurs through two parallel reactions A→B and A→D. Tautomeric equilibrium in 6-azauracil in water could occur by two contiguous reactions, A→D and D→C. The proton transfer investigated reactions in 5- and 6-azauracils involve concerted atomic movement.
Stochastic Multiscale Modeling of Physical and Biological Systems

George Karniadakis, Brown University, Applied Mathematiacs, United States

Abstract: TBA
The Enigma of Dark Energy

Ofer Lahav, University College London, , United Kingdom

Abstract: There is strong observational evidence that our Universe is flat and it consists of three main ingredients: ordinary matter, Dark Matter and Dark Energy. Dark Energy is commonly interpreted as the cause of the observed acceleration of the cosmic expansion. The lecture will review the chequered history of Dark Energy, the current observations and new surveys such as the “Dark Energy Survey”, and mathematical and statistical approaches.
Structure and Dynamics of Multi-scale Interacting Diseases

Yamir Moreno, Institute BIFI, University of Zaragoza, , Spain

Abstract: TBA
Hybrid Ab Initio/Molecular Mechanical Simulations of Solutions - Perspectives for Complex Chemistry, Proton Transfer Reactions and Interfaces

Thomas Hofer, University of Innsbruck, Institute of General, Inorganic and Theoretical Chemistry, Austria

Abstract: Following the continous improvmement of computational resources, theoretical chemistry has proven to be an increasingly valuable approach for investigations of a large number of chemical phenomena, especially in case of liquids and solutions, which are ont one hand the most important but at the same time also one of the most challenging states of matter to describe. Hybrid quantum mechanical/molecular mechanical (QM/MM) simulation techniques are still considered as one of the most promising approaches for investigations of chemical system. These methods separate the system into two regions. While interactions in the chemical most relevant part are accounted for via quantum mechanics, empirical molecular mechanical potentials are sufficiently accurate to describe the remaining part of the system. Especially for the determination of experimentally elusive properties such as ultrafast phenomena or single ion properties QM/MM techniques proved to be particularly useful alternative approaches. Details of advanced QM/MM technqiues are presented and simulation results for various systems ranging from coordination complexes in solution to the description of proton transfer events will be presented. A particularly challenging application is the description of solid interfaces, which is a prerequisite to study of adsorption and related phenomena such as catalysis. The combination of the QM/MM methodology with a periodic quantum mechanical description of the system will presented. Exemplary results of a QM/MM simulation study of the MgO(100)/water interface demonstrate the capabilities of this approach.
Geometrodynamics in Cosmology

Spyros Basilakos, Academy of Athens, RCAAM, Greece

Abstract: In this review talk I will discuss some ideas based on Geometrodynamics towards explaining the accelerated expansion of the Universe. In particular, I will describe some basic modified gravity models namely f(R), Dvali, Gabadadze, and Porrati(DGP) braneworld, Gauss-Bonnet and Finsler, and I will discuss their Cosmological implications.
Polarons on nonlinear lattice in the Su–Schrieffer–Heeger approximation: Exact solution and multipeaked polarons.

George Vinogradov, Emanuel Institute of Biochemical Physics, Russian Academy of Sciences, Statistical physics, Russian Federation

Abstract: We investigate the polaron dynamics on the nonlinear lattice with the cubic nonlinearity. The electron-phonon interaction is accounted in the Su-Schrieffer-Heeger approximation. An exact analytical solution is obtained in the continuum approximation. The numerical simulation agrees with analytics very well. Moreover, colliding polarons recover their shapes and velocities after the elastic collision suggesting that the solution belongs to the exactly integrable system. When the continuum approximation is invalid (parameters of nonlinearity and electron-phonon interaction are not small), a new family of stable multipeaked polarons is found. These polarons are formed by the coupled solitons hold together by the electron-phonone interaction.

International Conference on Mathematical Modeling in Physical Sciences

August 28-31, 2014
Madrid, Spain

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