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Matematicheskoe modelirovanie, 2013, Volume 25, Number 3, Pages 105–118 (Mi mm3345)  
This article is cited in 8 scientific papers (total in 8 papers)

Modeling of gaseous discharge’s electron stage

A. V. Berezina, A. S. Vorontsova, S. V. Zakharovb, M. B. Markova, S. V. Parot'kina

a Keldysh Institute of Applied Mathematics RAS
b EPPRA (European Pulsed Power Research Applications) SaS, Courtaboeuf, France
Full-text PDF (363 kB) Citations (8)
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Abstract: The mathematical model of electron cascade transport is represented. It is developed for gaseous discharge’s pre-breakdown stage investigation în the base of kinetic equation for electrons in self-consistent electromagnetic field. Elastic scattering of electrons, excitation by the electron impact and impact ionization of molecule are taken into account. The natural ionization background is considered as initial free electrons distribution. The results of computing experiment are compared with drift velocity, average energy and Townsend coefficient in charged plane capacitor measured data. The comparison shows that model does not contradict experiment. The transport approximation is formulated for acceleration of discharge full current calculations. It is based on the elastic collisions’ averaging. The applicability of transport approximation for full current of capillary discharge is investigated.
Keywords: electromagnetic field, distribution function, kinetic equation, particles’ method, generalized function.
Received: 21.02.2012
English version:
Mathematical Models and Computer Simulations, 2013, Volume 5, Issue 5, Pages 492–500
DOI: https://doi.org/10.1134/S2070048213050037
Bibliographic databases:
Document Type: Article
UDC: 537.8+519.63
Language: Russian
Citation: A. V. Berezin, A. S. Vorontsov, S. V. Zakharov, M. B. Markov, S. V. Parot'kin, “Modeling of gaseous discharge’s electron stage”, Matem. Mod., 25:3 (2013), 105–118; Math. Models Comput. Simul., 5:5 (2013), 492–500
Citation in format AMSBIB
\Bibitem{BerVorZak13}
\by A.~V.~Berezin, A.~S.~Vorontsov, S.~V.~Zakharov, M.~B.~Markov, S.~V.~Parot'kin
\paper Modeling of gaseous discharge’s electron stage
\jour Matem. Mod.
\yr 2013
\vol 25
\issue 3
\pages 105--118
\mathnet{http://mi.mathnet.ru/mm3345}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3112322}
\transl
\jour Math. Models Comput. Simul.
\yr 2013
\vol 5
\issue 5
\pages 492--500
\crossref{https://doi.org/10.1134/S2070048213050037}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929069491}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :114
    References:73
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