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Matematicheskoe modelirovanie, 2014, Volume 26, Number 5, Pages 79–98 (Mi mm3481)  
This article is cited in 4 scientific papers (total 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
Full-text PDF (740 kB) Citations (4)
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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.
Received: 15.03.2013
English version:
Mathematical Models and Computer Simulations, 2014, Volume 6, Issue 6, Pages 598–611
DOI: https://doi.org/10.1134/S2070048214060040
Bibliographic databases:
Document Type: Article
UDC: 517.958:52/59
Language: Russian
Citation: A. V. Bobylev, I. F. Potapenko, S. A. Karpov, “Monte Carlo simulation of the kinetic collisional equation with external fields”, Matem. Mod., 26:5 (2014), 79–98; Math. Models Comput. Simul., 6:6 (2014), 598–611
Citation in format AMSBIB
\Bibitem{BobPotKar14}
\by A.~V.~Bobylev, I.~F.~Potapenko, S.~A.~Karpov
\paper Monte Carlo simulation of the kinetic collisional equation with external fields
\jour Matem. Mod.
\yr 2014
\vol 26
\issue 5
\pages 79--98
\mathnet{http://mi.mathnet.ru/mm3481}
\elib{https://elibrary.ru/item.asp?id=21826467}
\transl
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 6
\pages 598--611
\crossref{https://doi.org/10.1134/S2070048214060040}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925943098}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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