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Kinetic equation for an electron gas (non-neutral plasma) in strong fields and inhomogeneities

Published online by Cambridge University Press:  13 March 2009

Alf H. Øien
Alf H. Øien
Affiliation:
Department of Applied Mathematics, University of Bergen, Norway
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Abstract

The first two equations of the BBGKY hierarchy are discussed and solved in order to derive a kinetic equation for an electron gas (non-neutral plasma) where strong electric and magnetic fields as well as inhomogeneities are taken into account on scales relevant for collisions between particles. The gyrotropic assumption is not made. The magnetic field and the inhomogeneities are shown to have special effects on the collision terms. A strong magnetic field approximation is then made in order to simplify the collision term, and a new, proper collision term has been found when a strong magnetic field is present.

Type
Research Article
Information
Journal of Plasma Physics , Volume 21 , Issue 3 , June 1979 , pp. 401 - 420
Copyright
Copyright © Cambridge University Press 1979

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References

REFERENCES

Bogoliubov, N. N. 1962 Studies in Statistical Mechanics, vol. 1 (ed. de Boer, J. & Uhlenbeck, G. E.). North Holland.Google Scholar
Chapman, S. & Cowling, T. G. 1970 The Mathematical Theory of Non-Uniform Gases, p. 177. Cambridge University Press.Google Scholar
Davidson, R. C. 1971 J. Plasma Phys. 6, 229.CrossRefGoogle Scholar
Douglas, M. H. & O'Neil, T. M. 1976 Bull. Am. Phys. Soc. series II, 21, 1115.Google Scholar
De Grassie, J. S., Malmberg, J. H. & Douglas, M. H. 1976 Bull Am. Phys. Soc. series II, 21, 1115.Google Scholar
De Grassie, J. S. & Malmberg, J. H. 1977 Phys. Rev. Lett. 39, 1077.CrossRefGoogle Scholar
Haggerty, M. J. & De Sobrino, L. G. 1964 Can. J. Phys. 42, 1969.Google Scholar
Malmberg, J. H. & O'Neil, T. M. 1977 Phys. Rev. Lett. 39, 1333.Google Scholar
Malmberg, J. H. & De Grassie, J. S. 1975 Phys. Rev. Lett. 35, 577.CrossRefGoogle Scholar
Montgomery, D., Joyce, G. & Turner, L. 1974 a Phys. Fluids, 17, 2201.Google Scholar
Montgomery, D., Turner, L. & Joyce, G. 1974 b Phys. Fluids, 17, 954.CrossRefGoogle Scholar
Rostoker, N. 1960 Phys. Fluids, 3, 922.Google Scholar
Schram, P. P. J. M. 1969 Physica, 45, 165Google Scholar
Wu, T. Y. 1966 Kinetic Equations of Gases and Plasmas, ch. 8. Addison-Wesley.Google Scholar