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Allgemeine Lösungstheorie der linearisierten VLASOV‐BGK. Gleichung für Mehrkomponentensysteme im Magnetfeld. II lterationslösung für Verteilungsfunktionen Leitfähigkeitstensor und Dispersionsrelation
Author(s) -
Kolley W.,
Vojta G.
Publication year - 1970
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19704790707
Subject(s) - physics , electron , dispersion relation , magnetic field , plasma , effective mass (spring–mass system) , quantum electrodynamics , ionization , fermi gas , electric field , mathematical physics , atomic physics , ion , condensed matter physics , quantum mechanics
The coupled linearized VLASOV equations for a multicomponent system with charged particles are solved approximately by an iteration procedure. This system may either be a partially or fully ionized gas plasma, or the electron gas of a nondegenerate semiconductor treated in the one‐band effective‐mass approximation. The system is under the action of a space‐ and time‐dependent external electric field and a homogeneous and constant external magnetic field. Collisions between electrons and ions (or phonons) are taken fully into account by a complete set of BHATNAGAR‐GROSS‐KROOK collision integrals. The collision terms are expanded in powers of the ratio electron mass/ion mass. In the first order, the electrical conductivity tensor is calculated, and a general dispersion relation is derived. A proof of the H ‐theorem is given in an appendix.