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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 2, Pages 307–317 (Mi zvmmf523)  
This article is cited in 6 scientific papers (total in 6 papers)

Quasi-steady-state particle distributions for an equation of the Landau–Fokker–Planck type with sources

V. I. Karas'a, I. F. Potapenkob

a Kharkov Institute for Physics and Technology, National Academy of Sciences of Ukraine, ul. Akademicheskaya 2, Kharkov, 61108, Ukraine
b Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
Full-text PDF (1466 kB) Citations (6)
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Abstract: The formation of nonequilibrium particle distributions for the power-law interaction potentials $U=\alpha/r^\beta$, where $1\le\beta<4$, is considered. The analytical and numerical studies are based on a one-dimensional (in the velocity space) kinetic equation of the Landau–Fokker–Planck type with energy (particle) sources (sinks) localized in the high-energy range. Fully conservative finite-difference schemes are used for numerical modeling. The resulting asymptotic estimates are confirmed by numerical computations. The results can be used to predict the behavior of intrinsic and extrinsic semiconductors influenced by particle fluxes or electromagnetic radiation.
Key words: Landau–Fokker–Planck equation, nonequilibrium distribution function, plasma oscillations.
Received: 03.11.2004
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 2, Pages 294–304
DOI: https://doi.org/10.1134/S0965542506020114
Bibliographic databases:
Document Type: Article
UDC: 519.676
Language: Russian
Citation: V. I. Karas', I. F. Potapenko, “Quasi-steady-state particle distributions for an equation of the Landau–Fokker–Planck type with sources”, Zh. Vychisl. Mat. Mat. Fiz., 46:2 (2006), 307–317; Comput. Math. Math. Phys., 46:2 (2006), 294–304
Citation in format AMSBIB
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\by V.~I.~Karas', I.~F.~Potapenko
\paper Quasi-steady-state particle distributions for an equation of the Landau--Fokker--Planck type with sources
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 2
\pages 307--317
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2239767}
\zmath{https://zbmath.org/?q=an:05200905}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 2
\pages 294--304
\crossref{https://doi.org/10.1134/S0965542506020114}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746061604}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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