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Stability of relativistic anisotropic plasmas to perpendicular magnetosonic waves

Published online by Cambridge University Press:  13 March 2009

R. W. Landau  and
S. Cuperman
R. W. Landau
Affiliation:
Department of Physics and Astronomy and The Institute of Planetary and Space Science Tel-Aviv University, Tel-Aviv, Israel
S. Cuperman
Affiliation:
Department of Physics and Astronomy and The Institute of Planetary and Space Science Tel-Aviv University, Tel-Aviv, Israel
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Abstract

The stability of relativistic anisotropic plasmas to the magnetosonic (or righthand compressional Alfvén) wave, near the ion cyclotron frequency, propagating perpendicular to the magnetic field, is investigated. For this case, and for wavelengths larger than the ion Larmor radius and large ion plasma frequency () the dispersion relation is obtained in a simple form and solved. It is shown that for T‖ ╪ T⊥ (even T‖ ≥ T⊥) no instability occurs. This conclusion applies also to the case of the anisotropic interplanetary medium.

We note a peculiarity of the dispersion relation. Zero-order and first-order terms cancel so that the relation is of second order in our expansion parameter. The non-relativistic numerical results of Fredricks and Kennel are recovered.

Type
Research Article
Information
Journal of Plasma Physics , Volume 4 , Issue 3 , September 1970 , pp. 495 - 510
Copyright
Copyright © Cambridge University Press 1970

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