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Drift instabilities of a relativistic plasma. Part 1. Kinetic description of drift effects in a relativistic plasma

Published online by Cambridge University Press:  13 March 2009

A. B. Mikhailovskii
Affiliation:
Space Research Institute, USSR Academy of Sciences, 117810 Moscow, USSR
O. G. Onishchenko
Affiliation:
Space Research Institute, USSR Academy of Sciences, 117810 Moscow, USSR

Abstract

The role of relativistic effects in the problem of drift instabilities in an inhomogeneous magnetized plasma is analysed. The kinetic approach is developed, taking into account a non-zero plasma pressure and the electromagnetic character of the perturbations. The general dispersion relation for the perturbations in an inhomogeneous relativistic plasma is obtained. As in the case of a non-relativistic plasma, the dispersion relation is written in terms of the modified dielectric permittivity tensor. This tensor is calculated by taking into account the non-Maxwellian character of the equilibrium momentum distributions of the particles. The relation between the modified dielectric permittivity tensor and the ordinary tensor of dielectric permittivity of a homogeneous plasma is elucidated.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1987

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References

REFERENCES

Begelman, M. C., Blandford, R. D. & Rees, M. J. 1984 Rev. Mod. Phys. 56, 255.CrossRefGoogle Scholar
Chamberlain, J. W. 1963 J. Geophys. Res. 68, 5667.CrossRefGoogle Scholar
Hasegawa, A. 1971 Phys. Rev. Lett. 27, 11.CrossRefGoogle Scholar
Kaladze, T. D. & Mikhailovskii, A. B. 1981 Astrofizika (in Russian), 17, 775.Google Scholar
Michel, F. C. 1982 Rev. Mod. Phys. 54, 1.CrossRefGoogle Scholar
Mikhailovskii, A. B. 1967 Reviews of Plasma Physics (ed. Leontovich, M. A.), vol. 3, p. 159. Consultants Bureau.CrossRefGoogle Scholar
Mikhailovskii, A. B. 1974 Theory of Plasma Instabilities, vol. 2. Consultants Bureau.CrossRefGoogle Scholar
Mikhailovskii, A. B. 1977 Teoriya plasmennykh neustoichivostei (Theory of Plasma Instabilities), vol. 2, 2nd edn.Atomizdat, Moscow (in Russian).Google Scholar
Mikhailovskii, A. B. 1980 Soviet Plasma Phys. 6, 238.Google Scholar
Mikhailovskii, A. B. 1982 Plasma Phys. 24, 1.CrossRefGoogle Scholar
Synge, J. L. 1957 The Relativistic Gas. North-Holland.Google Scholar
Takahara, F. & Kusunose, M. 1985 Progress of Theor. Phys. 73, 1390.CrossRefGoogle Scholar
Ter Haar, D. & Tsytovich, V. N. 1981 Phys. Reports, 73, 175.CrossRefGoogle Scholar
Tserkovnikov, Ju. A. 1958 Soviet Phys. JETP, 5, 58.Google Scholar
Zelenyi, L. M. & Krasnoselskikh, V. V. 1979 Astronom. zhyrnal (in Russian), 56, 819.Google Scholar