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Matem. Mod., 2013, Volume 25, Number 3, Pages 105–118 (Mi mm3345)  

This article is cited in 5 scientific papers (total in 5 papers)

Modeling of gaseous discharges 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

Abstract: The mathematical model of electron cascade transport is represented. It is developed for gaseous discharges pre-breakdown stage investigation n 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.

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English version:
Mathematical Models and Computer Simulations, 2013, 5:5, 492–500

Bibliographic databases:

UDC: 537.8+519.63
Received: 21.02.2012

Citation: A. V. Berezin, A. S. Vorontsov, S. V. Zakharov, M. B. Markov, S. V. Parot'kin, “Modeling of gaseous discharges 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 discharges electron stage
\jour Matem. Mod.
\yr 2013
\vol 25
\issue 3
\pages 105--118
\mathnet{http://mi.mathnet.ru/mm3345}
\mathscinet{http://www.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{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929069491}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. V. Berezin, A. S. Vorontsov, M. E. Zhukovskiy, M. B. Markov, S. V. Parot'kin, “Particle method for electrons in a scattering medium”, Comput. Math. Math. Phys., 55:9 (2015), 1534–1546  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    2. Yu. A. Volkov, F. N. Voronin, K. K. Inozemtseva, M. B. Markov, A. V. Sysenko, “Model elektricheskikh i termomekhanicheskikh effektov v puchke elektronov”, Preprinty IPM im. M. V. Keldysha, 2017, 056, 20 pp.  mathnet  crossref
    3. Yu. A. Volkov, F. N. Voronin, K. K. Inozemtseva, M. B. Markov, A. V. Sysenko, “Algoritm modelirovaniya elektricheskikh i termomekhanicheskikh effektov v rasseivayuschemsya elektronnom puchke”, Preprinty IPM im. M. V. Keldysha, 2017, 064, 19 pp.  mathnet  crossref
    4. A. V. Berezin, M. B. Markov, S. V. Parotkin, A. V. Sysenko, “Algoritm metoda chastits v rasseivayuschei srede”, Preprinty IPM im. M. V. Keldysha, 2018, 115, 12 pp.  mathnet  crossref  elib
    5. A. V. Berezin, M. B. Markov, S. V. Parotkin, A. V. Sysenko, “O metode chastits v neodnorodnoi rasseivayuschei srede”, Preprinty IPM im. M. V. Keldysha, 2018, 116, 16 pp.  mathnet  crossref  elib
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