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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2014 Volume 26, Number 5, Pages 79–98 (Mi mm3481)

This article is cited in 4 papers

Monte Carlo simulation of the kinetic collisional equation with external fields

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

a Department of Mathematics, University of Karlstad, Sweden
b Keldysh Institute of Applied Mathematics, RAS, Moscow
c Duhov VNIIA, Moscow

Abstract: To deal with a spatially uniform weakly collisional system of particles the nonlinear kinetic equation with the collisional Landau–Fokker–Planck integral and external heat sources is considerd. A quasi-linear diffusion operator and the DC electrical field are used as heating terms. Particle heating and acceleration, as well as the runaway effect are analysed. The numerical method used for this effect is the Monte Carlo method (DSMC).

Keywords: Coulomb collisions, kinetic Landau equation, Boltzmann equation, Monte-Carlo method, external electrical field, diffusion equation.

UDC: 517.958:52/59

Received: 15.03.2013


 English version:
Mathematical Models and Computer Simulations, 2014, 6:6, 598–611

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