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Fundamentals of a Technique for Determining Electron Distribution Functions by Multi‐Term Even‐Order Expansion in Legendre Polynomials. 2. Comprehensive Investigation of a Model Plasma
Author(s) -
Winkler R.,
Braglia G. L.,
Hess A.,
Wilhelm J.
Publication year - 1985
Publication title -
beiträge aus der plasmaphysik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0005-8025
DOI - 10.1002/ctpp.19850250405
Subject(s) - legendre polynomials , distribution function , boltzmann equation , physics , isotropy , plasma , anisotropy , maxwell–boltzmann distribution , excitation , statistical physics , monte carlo method , computational physics , quantum mechanics , mathematics , statistics
Applying the new technique for finding the converged solution of the Boltzmann equation in a weakly ionized plasma, which was developed in the first part of this paper, a comprehensive study of the electron velocity distribution function for a model plasma with elastic and exciting collisions is performed by solving the Boltzmann equation with increasing order of approximation. The purpose of this investigation is that of calculating the isotropic distribution f 0 , the first contribution f 1 to the anisotropy of the velocity distribution, the important macroscopic quantities and, more generally, that of studying the total anisotropy as well as the changes of all these quantities when the approximation degree is enlarged beyond the 2 terms of the conventional Lorentz approximation. By varying some parameters of the model plasma, that is the electric field strength, the magnitude of the excitation cross section and the excitation threshold, the main features of plasmas in inert as well as molecular gases are modelled and the impact of these parameters on the mentioned quantities is analysed. Some of the converged results are compared with results of corresponding Monte Carlo simulations. The approximation degree required to find the converged values of isotropic distribution, main macroscopic quantities and electron distribution in the velocity space (and thus its real anisotropy) is estimated by solving the Boltzmann equation over wide parameter ranges.