Finite Larmor radius and Hall effects on thermosolutal instability of a plasma

Astronomy and Astrophysics – Astrophysics

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Convective Heat Transfer, Hall Effect, Larmor Radius, Magnetohydrodynamic Stability, Astrophysics, Atmospheric Physics, Convection Currents, Free Convection

Scientific paper

The thermosolutal instability of a plasma with finite Larmor radius and Hall effects is studied. When the instability sets in as stationary convection, finite Larmor radius are always stabilizing for x( = k sq d sq/pi sq) greater than 2 and for x less than 2, they have a stabilizing or destabilizing influence depending on the Larmor radius parameter N in the presence of Hall currents. On the other hand, the Hall currents have both stabilizing and destabilizing effects on the thermosolutal instability for x less than 2 and for x greater than 2 depending on the Hall parameter M. The stable solute gradient is found to have a stabilizing effect on stationary convection. The case of overstability is also considered wherein the sufficient conditions for the nonexistence of overstability are derived.

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