Fundamentals of a technique for determining electron distribution functions by multi-term even-order expansion in legendre polynomials. 2
Creators
- 1. Akademie der Wissenschaften der DDR, Greifswald. Zentralinstitut fuer Elektronenphysik
- 2. Parma Univ. (Italy). Ist. di Fisica
Description
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 f0, the first contribution f1 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. (author)
Additional details
Additional titles
- Subtitle (English)
- Comprehensive investigation of a model plasma
Publishing Information
- Journal Title
- Beitr. Plasmaphys.
- Journal Volume
- 25
- Journal Issue
- 4
- Series
- Beitr. Plasmaphys.
- Journal Page Range
- 351-378
- ISSN
- 0005-8025
- CODEN
- BPPHA
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- German Democratic Republic
- INIS RN
- 17000259
- Subject category
- S74: ATOMIC AND MOLECULAR PHYSICS;
- Descriptors DEI
- BOLTZMANN EQUATION; COLLISIONAL PLASMA; CROSS SECTIONS; DISTRIBUTION FUNCTIONS; ELECTRON DENSITY; EXCITATION; LEGENDRE POLYNOMIALS; WEAKLY IONIZED GASES
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; ENERGY-LEVEL TRANSITIONS; EQUATIONS; FLUIDS; FUNCTIONS; GASES; IONIZED GASES; PARTIAL DIFFERENTIAL EQUATIONS; PLASMA; POLYNOMIALS