Finite Larmor radius and Hall current effects on magneto-gravitational instability of a plasma in the presence of suspended particles

Astronomy and Astrophysics – Astrophysics

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Hall Effect, Larmor Radius, Magnetohydrodynamic Stability, Star Formation, Stellar Gravitation, Suspending (Mixing), Interstellar Matter, Momentum Transfer, Stellar Magnetic Fields, Stellar Mass Accretion, Wave Propagation

Scientific paper

The self-gravitational instability of an infinite homogeneous magnetised gas particle medium is considered including finite Larmor radius and Hall current effects in the presence of suspended particles. The effect of suspended particles is introduced in the momentum transfer equation as an extra-body force and it is assumed that self gravitational force of gas is important as compared to that of particles. The equations of the problem are linearized and from linearized equations a general dispersion relation for dusty gas is obtained. The dispersion relations are also obtained for propagation parallel and perpendicular to the direction of uniform magnetic field. The Jeans criterion is discussed for these two different directions of wave propagation. It is found that in the presence of Hall current, finite Larmor radius corrections and suspended particles, the condition of instability is determined by Jeans criterion for a self-gravitating, magnetized gas particle medium. The necessary condition of instability of the medium has also been derived.

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