Instability of a gravitating partially-ionized plasma

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cosmic Plasma, Hall Effect, Interstellar Matter, Magnetohydrodynamic Stability, Variational Principles, Boundary Conditions, Perturbation Theory

Scientific paper

The effect of Hall currents and collision with neutrals on the instability of a horizontal layer of a self-gravitating partially-ionized plasma of varying density have been studied. It is assumed that the plasma is permeated by a variable horizontal magnetic field stratified vertically. A variational principle is shown to characterize the problem. By making use of the existence of the variational principle, proper solutions have been obtained for a semi-infinite plasma in which density has a one-dimensional (exponential) vertial stratification. The dispersion relation has been derived and solved numerically. It is found that the collisions with neutrals have a stabilizing influence while Hall currents have a destabilizing influence.

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