Monte Carlo simulation of the kinetic collisional equation with external fields

In this paper we consider a spatially homogeneous weakly collisional particle system, the state of which is described by a nonlinear kinetic equation with the Landau-Fokker-Planck collision integral and external heat sources. A quasi-linear diffusion operator and an external electric field are used...

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Bibliographic Details
Published in:Mathematical models and computer simulations 2014-11, Vol.6 (6), p.598-611
Main Authors: Bobylev, A. V., Potapenko, I. F., Karpov, S. A.
Format: Article
Language:English
Subjects:
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Simulation and Modeling
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Summary:In this paper we consider a spatially homogeneous weakly collisional particle system, the state of which is described by a nonlinear kinetic equation with the Landau-Fokker-Planck collision integral and external heat sources. A quasi-linear diffusion operator and an external electric field are used as heating operators. Particle heating and acceleration and the runaway effect are analyzed. The numerical method used to study this phenomenon is the direct simulation Monte Carlo (DSMC) method.
ISSN:2070-0482
2070-0490
DOI:10.1134/S2070048214060040