Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-25T08:24:22.764Z Has data issue: false hasContentIssue false

Model Fokker—Planck Equations: Part 2. The equation for a multicomponent plasma

Published online by Cambridge University Press:  13 March 2009

J. P. Dougherty
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
S. R. Watson
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge

Abstract

A model kinetic equation for a plasma containing many species is set up. It is an approximation to the correct kinetic equation but is considerably simpler in form. The collision operator has the property that particles, momentum and energy are conserved, and it gives to good approximation the correct rates of transfer of momentum and energy between all pairs of species. It is also shown that the equation leads to an H-theorem.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1967

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

REFERENCE

Balescu, R. 1960 Phys. Fluids 3, 52.CrossRefGoogle Scholar
Chapman, S. & Cowlinguo, T. G. 1952 The Mathematical Theory of Nonuniform Gases. Cambridge University Press.Google Scholar
Dougherty, J. P. 1964 Phys. Fluids 7, 1788.CrossRefGoogle Scholar
Dougherty, J. P., Watson, S. R. & Hellberg, M. A. 1967 J. Plasma Phys. 1, 327.CrossRefGoogle Scholar
Huang, K. 1963 Statistical Mechanics. New York: John Wiley and Sons Inc.Google Scholar
Lebowitz, J. L., Frisch, D. L. & Relfand, E. 1960 Phys. Fluids 3, 325.CrossRefGoogle Scholar
Lenard, A. 1960 Ann. Phys. (New York) 10, 390.CrossRefGoogle Scholar
Oppenheim, A. 1965 Phys. Fluids 8, 900.CrossRefGoogle Scholar
Robinson, B. B. & Bernstein, I. B. 1962 Ann. Phys. (New York) 18, 110.CrossRefGoogle Scholar
Roseneluth, M. N., Mcdonald, W. M. & Judd, D. L. 1957 Phys. Rev. 107, 1.CrossRefGoogle Scholar