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Grad–Fokker–Planck plasma equations. Part 1. Coffision moments

Published online by Cambridge University Press:  13 March 2009

K. A. Broughan
K. A. Broughan
Affiliation:
Department of Mathematics, University of Waikato, Hamilton, New Zealand
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Abstract

Thirteen moments are taken of the collision term in the Boltzmann–Fokker– Planck equation for a multi-species, multi-temperature, hot plasma, following the method first developed by Grad for neutral gases. The collision integrals are evaluated for each colliding species pair. These integrals give, in particular, the rate of exchange of momentum and energy produced by collisions. The set of integrals may be combined with moments of the remaining terms in the Boltzmann equation to give thirteen moment equations for each species of particle. To complete the calculation, extensive use was made of the symbolic computer language REDUCE.

Type
Research Article
Information
Journal of Plasma Physics , Volume 27 , Issue 3 , June 1982 , pp. 437 - 452
Copyright
Copyright © Cambridge University Press 1982

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References

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