Hall effects on thermal hydromagnetic instability of a partially ionized medium

Statistics – Computation

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Computational Astrophysics, Hall Effect, Magnetohydrodynamic Stability, Space Plasmas, Thermal Instability, Collisions, Plasma Heating

Scientific paper

Thermal instability of a finitely conducting hydromagnetic composite medium is considered including the effects of Hall currents and the collisions with neutrals. The equilibrium magnetic field is assumed to be uniform and vertical. For stationary convection, the collisions have no effect, while the Hall currents are found to have a destabilizing effect on thermal instability. It is further shown that when M is finite and Q tends to infinity, the asymptotic behaviors of the critical Rayleigh number, the critical wave number, and the critical temperature gradient remain the same as those obtained Chandrasekhar (1961), where M is a nondimensional number which includes the Hall current effects and Q stands for the Chandrasekhar number.

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