Geodesic
Modeling of gaseous discharge’s electron stage
Matematičeskoe modelirovanie, Tome 25 (2013) no. 3, pp. 105-118

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The mathematical model of electron cascade transport is represented. It is developed for gaseous discharge’s pre-breakdown stage investigation оn 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. 
@article{MM_2013_25_3_a8,
     author = {A. V. Berezin and A. S. Vorontsov and S. V. Zakharov and M. B. Markov and S. V. Parot'kin},
     title = {Modeling of gaseous discharge{\textquoteright}s electron stage},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {105--118},
     publisher = {mathdoc},
     volume = {25},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_3_a8/}
}
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A. V. Berezin; A. S. Vorontsov; S. V. Zakharov; M. B. Markov; S. V. Parot'kin. Modeling of gaseous discharge’s electron stage. Matematičeskoe modelirovanie, Tome 25 (2013) no. 3, pp. 105-118. http://geodesic.mathdoc.fr/item/MM_2013_25_3_a8/