Stable Longitudinal Oscillations in Anisotropic Plasma

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Abstract
The dispersion equation for longitudinal oscillations in an infinite collisionless anisotropic plasma in a uniform magnetic field is analyzed. For a plasma in which the electrons are isotropic and the ions are anisotropic with a velocity distribution given by a two-temperature Maxwellian, it is found that a purely growing mode (as in the case of Rayleigh-Taylor instability) with frequency of the order of the ion cyclotron frequency cannot exist so long as the ion temperature perpendicular to the field is larger than its temperature along the field. This is demonstrated by showing that the dispersion equation has no solutions under these conditions.

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