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Model Fokker—Planck Equations: Part 3. Application to transport phenomena

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
M. A. Hellberg
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge

Abstract

The Chapman—Enskog expansion is applied to the model Fokker—Planck equation for a plasma, derived in part 2. It is shown that the complete set of transport coefficients can be calculated without further approximations. Results are derived first in the absence of any external magnetic field. The transport coefficients are also derived when there is a strong magnetic field, in which case they become anisotropic.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1967

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References

REFERENCE

Burnett, D. 1935 Proc. London Math. Soc. 39, 385.CrossRefGoogle Scholar
Chapman, S. & Cowling, T. G. 1952 The Mathematical Theory of Non-Uniform Gases. Cambridge University Press.Google Scholar
Dougherty, J. P. 1964 Phys. Fluids 7, 1788.CrossRefGoogle Scholar
Dougherty, J. P. & Watson, S. R. 1967 J. Plasma Phys. 1, 317.CrossRefGoogle Scholar
Marshall, W. 1957 a AERE Harwell Report T/R 2247.Google Scholar
Marshall, W. 1957 b AERE Harwell Report T/R 2352.Google Scholar
Marshall, W. 1957 c AERE Harwell Report T/R 2419.Google Scholar
Robinson, B. B. & Bernstein, I. B. 1962 Ann. Phys. (New York) 18, 110.CrossRefGoogle Scholar