Numerical simulation of Ginzburg-Landau-Langevin equations
نویسندگان
چکیده
منابع مشابه
Numerical Simulation of Ginzburg-Landau-Langevin Equations
This work is concerned with non-equilibrium phenomena, with focus on the numerical simulation of the relaxation of non-conserved order parameters described by stochastic kinetic equations known as GinzburgLandau-Langevin (GLL) equations. We propose methods for solving numerically these type of equations, with additive and multiplicative noises. Illustrative applications of the methods are prese...
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Jorge Berger Physics Department, Ort Braude College, P. O. Box 78, 21982 Karmiel, Israel ∗ Abstract Many analyses based on the time-dependent Ginzburg–Landau model are not consistent with statistical mechanics, because thermal fluctuations are not taken correctly into account. We use the fluctuation-dissipation theorem in order to establish the appropriate size of the Langevin terms, and thus e...
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Several issues in mathematical modeling and numerical simulation for the time dependent Ginzburg-Landau equations are investigated. A key point of this study is the influence of the mesh for the spatial discretization on the simulation results. In particular, we demonstrate that a fine mesh resolution in space is necessary, and that an inadequate mesh resolution will often give rise to spurious...
متن کاملNumerical simulation of vortex dynamics in Ginzburg-Landau-Schrödinger equation
1Department of Mathematics, National University of Singapore, Singapore 117543 email: [email protected] 2Department of Mathematics and Center for Computational Science and Engineering National University of Singapore, Singapore 117543 email: [email protected], URL: http://www.math.nus.edu.sg/~bao/ 3Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA email...
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We numerically investigate the phenomenological nonlocal Ginzburg-Landau Hamiltonian for two-dimensional superconductors in a strong magnetic field by Langevin equation. We calculate the structure factor and Abrikosov factor at various temperatures. We also evaluate the specific heat and obtain a cusp which indicates the melting of the vortex lattice. PACS numbers: 74.20.De, 74.60.Ge Typeset us...
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ژورنال
عنوان ژورنال: Brazilian Journal of Physics
سال: 2007
ISSN: 0103-9733
DOI: 10.1590/s0103-97332007000100013