Thermosolutal instability of a partially-ionized Hall plasma in porous medium

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Hall Effect, Magnetohydrodynamic Stability, Plasma Layers, Porous Materials, Stellar Atmospheres, Stellar Interiors, Earth Core, Magnetohydrodynamic Flow, Perturbation Theory, Rayleigh Number

Scientific paper

Analytical expressions are derived to characterize the thermosolutal instability of a partially ionized plasma in a porous medium incorporating the effects of collisions and Hall currents. Perturbation equations are given for an infinite horizontal plasma layer in the presence of gravity and a uniform vertical magnetic field, and perturbation quantities are derived for the case in which both boundaries are free and the adjoining medium is electrically nonconducting. A dispersion relation is obtained and treated for the influence of instability as stationary convection, and the possibility of instability occurring as overstability is described. While a stable solute gradient stabilizes the system, Hall currents and medium permeability have destabilizing effects. The present analysis is of interest to the study of stellar interiors and atmospheres as well as to the characterization of plasma and the earth's core.

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