ANALYTICAL RESULTS FOR THE BOLTZMANN-EQUATION

Authors
TOEPFFER C CERCIGNANI C
Citation
C. Toepffer et C. Cercignani, ANALYTICAL RESULTS FOR THE BOLTZMANN-EQUATION, Contributions to Plasma Physics, 37(2-3), 1997, pp. 279-291
Citations number
9
Categorie Soggetti
Phsycs, Fluid & Plasmas
Journal title
Contributions to Plasma Physics → ACNP
ISSN journal
08631042
Volume
37
Issue
2-3
Year of publication
1997
Pages
279 - 291
Database
ISI
SICI code
0863-1042(1997)37:2-3<279:ARFTB>2.0.ZU;2-T
Abstract
The manifold of solutions of the Boltzmann equation in the relaxation time approximation for particles in a constant field is obtained in cl osed form. The Green's function for the infinite domain and the moment s of the probability distribution are calculated explicitly. A general ized drift-diffusion equation with local temperatures is obtained by m atching moments. The Green's function for the finite domain is derived for vanishing equilibrium temperature beta --> infinity in a ballisti c regime of large momentum gain between collisions.