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Some properties of the Fokker-Planck equation

Published online by Cambridge University Press:  13 March 2009

G. J. Lewak  and
L. A. Soto
G. J. Lewak
Affiliation:
Electrical Engineering and Computer Science Department, U.C.S.D. La Jolla, CA. 92093
L. A. Soto
Affiliation:
Electrical Engineering and Computer Science Department, U.C.S.D. La Jolla, CA. 92093
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Abstract

The solution of the Fokker-Planck equation for the distribution function of heavy ions in a background of electrons is studied. It is found that quite broad physical conditions on the distribution function (such as the positive requirement and the existence of all velocity moments) are sufficient to eliminate any ambiguity in the time-independent steady-state solutions and to determine a discrete spectrum of the time-dependent Fokker–Planck operator. The more physical case of a Maxwell-Boltzman electron distribution function is treated using the small mass ratio expansion. First-order mass ratio corrections are calculated. A plasma heating application-is suggested.

Type
Research Article
Information
Journal of Plasma Physics , Volume 33 , Issue 2 , April 1985 , pp. 183 - 189
Copyright
Copyright © Cambridge University Press 1985

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References

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