Abstract
A model of non-local electron multiplication for numerical simulation of gas discharge in the cathode region is suggested. The model is based on a hydrodynamic description of electron 'beams', emitted from the cathode surface and from the plasma in the region of the cathode. Solution of the test problem, i.e. a normal glow discharge in helium under a pressure of 1 Torr, has shown good agreement with a well known Monte Carlo result of Tran et al. (1977). The model presented is 'fast' enough to be used in self-consistent simulations of non-stationary discharges of various types. A numerical simulation was performed with a sudden switch of the 'beam' ionization mechanism to a 'local' one in the steady-state helium glow discharge. It showed that a streamer-like ionization wave was generated. It is suggested that the stationary state of a low-pressure glow discharge is sustained by non-local ionization, whereas the local ionization 'destroys' the steady-state solution.
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