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Matematicheskoe modelirovanie, 2022, Volume 34, Number 4, Pages 83–99
DOI: https://doi.org/10.20948/mm-2022-04-06 (Mi mm4369) 		 
Relaxation of the volume charge created by the electron flow in the air

F. N. Voronin, M. B. Markov, S. V. Parot'kin

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
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DOI: https://doi.org/10.20948/mm-2022-04-06
Abstract: The process of relaxation of the volume electric charge formed by high-energy electrons in air is considered. The charge carriers are negative ions formed when thermalized electrons attach to oxygen molecules. A mathematical model of ion drift in an electric field is built, based on the charge continuity law and Maxwell's equations. The algorithm for the numerical solution of the model equations is based on the particle method. A numerical estimate of the relaxation time of the volume charge is carried out.
Keywords: electron, ion, attachment, drift, electric field.
Received: 07.07.2021
Revised: 07.07.2021
Accepted: 04.10.2021
English version:
Mathematical Models and Computer Simulations, 2022, Volume 14, Issue 6, Pages 926–936
DOI: https://doi.org/10.1134/S2070048222060175
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: F. N. Voronin, M. B. Markov, S. V. Parot'kin, “Relaxation of the volume charge created by the electron flow in the air”, Matem. Mod., 34:4 (2022), 83–99; Math. Models Comput. Simul., 14:6 (2022), 926–936
Citation in format AMSBIB
\Bibitem{VorMarPar22}
\by F.~N.~Voronin, M.~B.~Markov, S.~V.~Parot'kin
\paper Relaxation of the volume charge created by the electron flow in the air
\jour Matem. Mod.
\yr 2022
\vol 34
\issue 4
\pages 83--99
\mathnet{http://mi.mathnet.ru/mm4369}
\crossref{https://doi.org/10.20948/mm-2022-04-06}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4403412}
\transl
\jour Math. Models Comput. Simul.
\yr 2022
\vol 14
\issue 6
\pages 926--936
\crossref{https://doi.org/10.1134/S2070048222060175}
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