Effect of Hall current on the stability of an anisotropic plasma

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Abstract
The magneto–gravitational instability of an unbounded tenuous plasma, subject to the influence of a uniform magnetic field which results in a tensorial plasma pressure, is investigated. The Chew, Goldberger, and Low equations for a collisionless plasma and a generalized Ohm's law, which includes the effects due to Hall current and electron inertia, are used. Criteria of instability in terms of plasma pressure, parallel and perpendicular to the magnetic field, and the Hall current parameter are derived for the special cases of parallel and perpendicular propagation vectors. It is found that the Hall effect has a stabilizing influence, although it does not produce stability for all wavelength perturbations. The monotonic instability is replaced by a growing wave instability (overstability). The presence of electron inertia, however, destabilizes a certain range of wavelengths which are stabilized by Hall current.

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