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Transverse plasma waves and their instability

Published online by Cambridge University Press:  28 March 2006

F. D. Kahn
F. D. Kahn
Affiliation:
Astronomy Department, University of Manchester
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Abstract

Linearized equations are derived for disturbances in an infinite plasma without an imposed magnetic field. It is shown that besides the electrostatic, or longitudinal, waves which are usually considered, there can also exist electromagnetic, or transverse, waves. The two sets of waves are generally coupled, but one can nevertheless classify the waves as either mainly longitudinal or mainly transverse. It turns out that a plasma which is stable to longitudinal waves will be unstable to transverse waves unless the velocity distribution of its particles satisfies some rather stringent conditions. In a practical case these conditions would require the distribution to be isotropic.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 14 , Issue 3 , November 1962 , pp. 321 - 335
Copyright
© 1962 Cambridge University Press

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References

Buneman, O. 1959 Phys. Rev. 115, 503.
Chandrasekhar, S. 1960 Plasma Physics. University of Chicago Press.
Fried, B. D. 1959 Phys. Fluids, 2, 337.
Harris, E. G. Unpublished MS. on ‘Plasma instabilities associated with anisotropic velocity distributions’.
Noerdlinger, P. D. 1961 Astrophys. J. 133, 1034.
Penrose, O. 1960 Phys. Fluids, 3, 258.
Weibel, E. S. 1959 Phys. Rev. Letters, 2, 83.