Hostname: page-component-848d4c4894-nr4z6 Total loading time: 0 Render date: 2024-06-04T17:27:51.325Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Broughan, K. A. 1980 University of Waikato Mathernatics Research Report 86.Google Scholar
Clemmow, P. C. & Dougherty, J. P. 1969 Electrodynamics of Particles and Plasmas. Addison-Wesley.Google Scholar
Dougherty, J. P. & Watson, S. R. 1967 J. Plasma Physics, 1, 317.fCrossRefGoogle Scholar
Grad, H. 1969 Comm. Appl. Math. 2, 331.CrossRefGoogle Scholar
Hertweck, F. 1965 Z. Naturf. 20a, 1242.Google Scholar
Liley, B. S. 1972 University of Waikato Physics Research Report 103.Google Scholar
Salat, A. 1975 Plasma Phys. 17, 589.CrossRefGoogle Scholar
Talekar, V. L. & Rawat, S. S. 1973 Plasma Phys. 15, 795.CrossRefGoogle Scholar
Tanenbaum, B. S. 1967 Plasma Physics. McGraw-Hill.Google Scholar