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The Boltzmann-Landau transport equation

II. The transport coefficients

Published online by Cambridge University Press:  24 October 2008

Arun K. Mitra  and
Sunanda Mitra
Arun K. Mitra
Affiliation:
Department of Mathematics, Texas Technological College, Lubbock, Texas
Sunanda Mitra
Affiliation:
Department of Mathematics, Texas Technological College, Lubbock, Texas
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Abstract

The linearized Boltzmann-Landau transport equation given in a previous paper with a non-symmetric Kernel has been formally solved and the solution has been used to calculate the coefficients of shear viscosity (η) and thermal conductivity (λ) up to first-order density corrections.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 1 , January 1969 , pp. 189 - 198
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Mitra, A. K. and Mitra, Sunanda. The Boltzman–Landau transport equation. I. Proc. Cambridge Philos. Soc. 64 (1968).Google Scholar
(2)Chapman, S. and Cowling, T. G.Mathematical theory of non-uniform gases (Cambridge University Press, 1953).Google Scholar
(3)Huang, K.Statistical mechanics (John Wiley and Sons, Inc.; New York, London, 1963).Google Scholar
(4)Ernst, M. H.Physics 32 (1966), 209.Google Scholar
(5)Kawasaki, K. and Oppenheim, I.Phys. Rev. A 136 (1964), 1519. Phys. Rev. A 139 (1964), 649.CrossRefGoogle Scholar
(6) (a) Cohen, E. G.D. Fundamental problems in statistical mechanics (North Holland Publishing Co.; Amsterdam, 1962).CrossRefGoogle Scholar
(b) Uhlenbeck, G. E. and Ford, G. W.Lectures in statistical mechanics (American Mathematical Society, 1963).Google Scholar
(c) Ernst, M. H., Dorfman, J. R. and Cohen, E. G. D.Physica 31 (1965), 493.CrossRefGoogle Scholar
(7)Grossmann, S.Z. Physik 182 (1964), 24.CrossRefGoogle Scholar
(8)Grossmann, S.Z. Naturforsch. 20 a (1965), 861.Google Scholar
(9)Grossmann, S.Nouvo Cimento 3 f (1964), 698.Google Scholar