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Matematicheskoe modelirovanie, 2011, Volume 23, Number 4, Pages 41–56 (Mi mm3096)  
This article is cited in 11 scientific papers (total in 11 papers)

The kinetic model of the gas radiational conductivity

M. B. Markov, S. V. Parot'kin

Keldysh Institute of Applied Mathematics, Russian Academy of Science
Full-text PDF (240 kB) Citations (11)
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Abstract: The kinetic equation for low energy electrons, which appears in the gas under the impact of ionizing radiation, is considered. The elastic, inelastic and ionization collisions between electrons and gas molecules and the interaction with the external electric field are taken into account in the kinetic equation. The process of the conduction current is considered. Small parameter is re-vealed which is the ratio of energy, accumulated by the electron between collisions and thermal energy. The approximate solution of the kinetic equation for electron's concentration and flux is obtained. The result is the quadrature formulae for electronic conductivity calculation in the model of radiation electromagnetic field.
Keywords: kinetic equation, radiational conductivity, model collision integral.
Received: 04.10.2010
English version:
Mathematical Models and Computer Simulations, 2011, Volume 3, Issue 6, Pages 712–722
DOI: https://doi.org/10.1134/S207004821106007X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. B. Markov, S. V. Parot'kin, “The kinetic model of the gas radiational conductivity”, Matem. Mod., 23:4 (2011), 41–56; Math. Models Comput. Simul., 3:6 (2011), 712–722
Citation in format AMSBIB
\Bibitem{MarPar11}
\by M.~B.~Markov, S.~V.~Parot'kin
\paper The kinetic model of the gas radiational conductivity
\jour Matem. Mod.
\yr 2011
\vol 23
\issue 4
\pages 41--56
\mathnet{http://mi.mathnet.ru/mm3096}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2859115}
\transl
\jour Math. Models Comput. Simul.
\yr 2011
\vol 3
\issue 6
\pages 712--722
\crossref{https://doi.org/10.1134/S207004821106007X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928998355}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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