The gas-dynamic parameters of an ionized medium formed during impact ionization of a rarefied gas by fast electrons are considered. The concentration, drift velocity, and specific energy of low-energy secondary electrons are constructed by an approximate solution of the kinetic equation. Approximations of the spatial homogeneity of the kinetic equation and the isotropy of the initial distribution of secondary electrons during impact ionization are used. Additional approximations are related to the structure of the distribution function of secondary electrons and averaging of the cross sections.

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The effective variant of particle method algorithm for modeling surface generation, propagation and scattering of electrons in a self-consistent electromagnetic field is presented. An implementation of the algorithm on a hybrid cluster with graphic processor units (GPU) is worked out. Solutions to the problems of synchronization of recording results and data exchange are considered. The implementation is oriented on problems of electron emission and self-consistent electromagnetic field modeling in apparature blocks.

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