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An extended analytical solution of the Boltzmann equation for non-homogeneous fusion and astrophysical plasmas

Published online by Cambridge University Press:  13 March 2009

S. Cuperman  and
D. Zoler
S. Cuperman
Affiliation:
Observatoire de Paris – Section de Meudon, DASOP, 92195 Meudon Principal Cedex, France
D. Zoler
Affiliation:
School of Physics and Astronomy, Tel Aviv University, Ramat Aviv 69978, Israel
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Abstract

The perturbative Chapman-Enskog procedure for solving Boltzmann's equation, holding when f1 ≪ f0 (f = f0 + f1 + …), is replaced by a method that is free of such a limitation. This work represents an extension to the case of strongly anisotropic plasma systems and the spherical geometry of that of Campbell (1984, 1986). The solution obtained here is expressed in terms of prescribed ratios of mean free path for collisions, as well as electric and gravitational fields, to the temperature- and density-gradient lengths. This solution is also used to discuss the limitation of the conduction transport coefficients in electron plasmas.

Type
Research Article
Information
Journal of Plasma Physics , Volume 40 , Issue 3 , December 1988 , pp. 441 - 453
Copyright
Copyright © Cambridge University Press 1988

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References

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