Extending the calculation of electron velocity distribution functions for electrical discharges to large values of E/N
Abstract
The popular twomoment expansion of the Boltzmann equation is developed for cases involving significant generation of electrons by ionization. In particular, this formulation enhances the determination of electron velocity distribution functions at high values of E/N where ionization becomes significant. The simple twomoment approach allows such calculations to be made with modest computing resources. Examples are given of two such calculations in an inert gas (argon), and the numerical approach for these is outlined. Comparison with published experiments is shown to be very good, in both the lowE/N and highE/N regimes. In one example, comparison with published results from a very general numerical procedure is found to be excellent.
 Publication:

Journal of Applied Physics
 Pub Date:
 May 1992
 DOI:
 10.1063/1.350822
 Bibcode:
 1992JAP....71.4190R
 Keywords:

 Boltzmann Transport Equation;
 Distribution Functions;
 Electric Discharges;
 Electron Energy;
 Velocity Distribution;
 Gas Ionization;
 Gas Mixtures;
 Rare Gases;
 Steady State;
 Plasma Physics