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Kinetic theory of a spatially inhomogeneous plasma with time independent average properties

Published online by Cambridge University Press:  13 March 2009

R. A. Cairns
Affiliation:
Department of Natural Philosophy, University of Glasgow

Abstract

Kinetic equations are obtained which describe the variation in one spatial direction of a plasma whose average properties are independent of time and do not vary in the perpendicular direction.

These equations consist of a coupled set giving the variation of the electric field fluctuation spectrum and the particle distribution functions. They take into account particle discreteness effects and describe the plasma both when it is stable and weakly unstable. It is suggested that they may be used to describe an infinite plane shock wave in a plasma.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1970

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References

REFERENCES

Balescu, R. 1960 Phys. Fluids 3, 52.CrossRefGoogle Scholar
Drummond, W. E. & Pines, D. 1962 Nucl. Fusion Suppl. 3, 1049.Google Scholar
Dupree, T. H. 1963 Phys. Fluids 6, 1714.CrossRefGoogle Scholar
Erdelyi, A. 1956 Asymptotic Expansions. New York: Dover.Google Scholar
Klimontovich, IU. L. 1958 Sov. Phys. J.E.T.P. 34, 114.Google Scholar
Lenard, A. 1960 Ann. Phys. (N.Y.) 10, 390.CrossRefGoogle Scholar
Oberman, C. 1968 Lectures in ‘Physics of Hot Plasmas, Scottish Universities Summer School in Physics, 1968’, to be published.Google Scholar
Rogister, A. & Oberman, C. 1968 J. Plasma Phys. 2, 33.CrossRefGoogle Scholar
Tidman, D. A. 1967 Phys. Fluids 10, 547.CrossRefGoogle Scholar