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Multiple spatial scaling and the weak coupling approximation. Part 2. Homogeneous kinetic equation

Published online by Cambridge University Press:  13 March 2009

P. E. Kleinsmith
P. E. Kleinsmith
Affiliation:
Chemical Engineering Department, Carnegie-Mellon University
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Abstract

A modified form of the Bogoliubov plasma cluster expansion is applied to the derivation of a divergence-free kinetic equation from the BBGKY hierarchy. Special attention is given to the conditions under which the Landau kinetic equation may be derived from this more general formulation.

Type
Research Article
Information
Journal of Plasma Physics , Volume 18 , Issue 1 , August 1977 , pp. 99 - 111
Copyright
Copyright © Cambridge University Press 1977

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References

REFERENCES

Balescu, R. 1960 Phys. Fluids, 3, 52.CrossRefGoogle Scholar
Bogoliubov, N. N. 1946 Problems of a Dynamical Theory in Statistical Mechanics; trans. in Studies in Statistical Mechanics, vol. 1 (ed. Deboer, J. & Uhlenbeck, G. E.). 1962. North Holland.Google Scholar
Chapman, S. & Cowling, T. G. 1970 The Mathematical Theory of Non-Uniform Gases, 3rd ed.Cambridge University Press.Google Scholar
Goldstein, H. 1965 Classical Mechanics. Addison-Wesley.Google Scholar
Grad, H. 1958 Handbuch der Physik 12. Springer.Google Scholar
Gradsteyn, I. S. & Ryzhik, I. M. 1965 Tables of Integrals, Series, and Products. Academic.Google Scholar
Kleinsmith, P. E. 1976 J. Plasma Phys.Google Scholar
Landau, L. D. 1936 Phys. Z. Sowjetunion, 10, 154.Google Scholar
Lenard, A. 1960 Ann. Phys. N.Y. 10, 390.CrossRefGoogle Scholar
Montgomery, D. & Tidman, D. A. 1964 Plasma Kinetic Theory. McGraw-Hill.Google Scholar
Rosenbluth, M., Macdonald, W. M. & Judd, D. L. 1957 Phys. Rev. 107, 1.CrossRefGoogle Scholar
Schram, P. 1964 Euratom Report Eur 1805. e.Google Scholar