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Allgemeine Berechnung der Elektronenverteilungsfunktion von schwach ionisierten Plasmen in beliebig zeitabhängigen elektromagnetischen Feldern
Author(s) -
Koch Eckhard
Publication year - 1969
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.19690090404
Subject(s) - physics , electron , ansatz , electric field , drift velocity , distribution function , magnetic field , lorentz transformation , electromagnetic field , atomic physics , field (mathematics) , isotropy , quantum electrodynamics , quantum mechanics , mathematics , pure mathematics
The behaviour of a weakly ionized plasma in external, arbitrarily time‐dependent, electromagnetic fields is treated within the framework of kinetic theory. The Boltzmann kinetic equation is solved using the Lorentz ansatz, taking into account elastic collisions between electrons and neutral particles and assuming that the collision frequency is independent of the electron velocity. The drift velocity of electrons enters into the isotropic part f 0 and into the direction‐dependent part f 1 of the electron distribution function. A method is given for the calculation of the drift velocity, which is calculated explicitly for the important but difficult case of a sinusoidal electric field in the presence of a magnetic switching field. f 0 and f 1 are calculated; f 0 is investigated generally. f 0 consists of an expansion in generalized Laguerre polynomials. The influence of the electromagnetic fields on the distribution function and its time variation is discussed and the relaxation behaviour is shown. The following two special cases are calculated explicitly: a linear rising electric field and a sinusoidal electric field, both in the presence of a constant magnetic field.