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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2011 Volume 23, Number 4, Pages 41–56 (Mi mm3096)

This article is cited 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

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, 3:6, 712–722

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