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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2012 Volume 24, Number 9, Pages 35–49 (Mi mm3308)

This article is cited in 7 papers

Monte-Carlo method for two component plasmas

A. V. Bobyleva, I. F. Potapenkob, S. A. Karpovc

a Department of Mathematics University of Karlstad, Sweden
b Keldysh Institute of Applied Mathematics, RAS
c Moscow Engineering Physical Institute (NNRU MIFI)

Abstract: The direct simulation method of Monte-Carlo type for Coulomb collisions in the case of two component plasma is considered. The illustrative numerical simulation of the initial distribution relaxation for two sorts of particles in 3D velocity space is performed. Simulation results are compared with the numerical results based on the completely conservative finite difference schemes for the Landau–Fokker–Planck equation. Estimation of calculation accuracy is given for the wide range of numerical parameters.

Keywords: Boltzmann equation, nonlinear Landau–Fokker–Planck kinetic equation, Coulomb collisions, Monte-Carlo method, temperature relaxation.

UDC: 517.958:52/59

Received: 13.03.2012



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