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Stability of an anisotropic relativistic plasma in a magnetic field

Published online by Cambridge University Press:  13 March 2009

J. Skilling
Affiliation:
Mullard Radio Astronomy Observatory, Cavendish Laboratory, Cambridge

Abstract

The collisionless relativistic Boltzmann equation is used to investigate the stability of a large-scale two-component plasma containing numerically small anisotropic relativistic populations. Although most permitted waves are stable, Alfvén type waves are found to be unstable whenever the anisotropy exceeds O(v A/c). Growth times are estimated as days for supernova remnants and millennia for cosmic ray protons.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1968

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References

REFERENCES

Clark, G. 1965 Phys. Rev. Lett. 14, 93.CrossRefGoogle Scholar
Jackson, J. D. 1960 J. Nucl. Energy (Part C) 1, 171.CrossRefGoogle Scholar
Kursunoglu, B. 1961 Ionisation Phenomena in Gases, p. 1718. Munich Symp. Ed. by Maecker, H., North Holland.Google Scholar
Landau, L. 1946 J. Phys. U.S.S.R. 10, 25.Google Scholar
Lerche, I. 1966 Phys. Fluids 9, 1073.CrossRefGoogle Scholar
Lerche, I. 1967 Astrophys. J. 147, 689.CrossRefGoogle Scholar
Minkowski, R. 1959 Paris Symp. on Radio Astronomy, p. 315. Ed. by Bracewell, R. N., Stanford University Press.Google Scholar
Montgomery, D. C. & Tidman, D. A. 1964 Plasma Kinetic Theory, p. 137. New York: McGraw-Hill.Google Scholar
Sagdeev, R. Z. & Shafranov, V. D. 1961 J.E.T.P. 12, 130.Google Scholar
Stix, T. H. 1962 The Theory of Plasma Waves. New York: McGraw-Hill.Google Scholar
Trimble, V. 1967 Astron. J. 72, 323.Google Scholar