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Reversal of the hall current and amplification of the magnetorotational instability in a weakly ionized plasma

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Abstract

A criterion for the development of a magnetorotational instability in a weakly ionized dusty plasma is considered. A dispersion relation for the wavenumber and the growth rate of an unstable perturbation is derived for an arbitrary angle between the wave vector and magnetic field. It is shown that the presence of dust grains can reverse the direction of the Hall current in the plasma and can shift the instability threshold to shorter wavelengths. Under certain conditions, Alfvén fluctuations of arbitrary scale can be unstable. The Hall current reversal is found to have a strong effect on the development of a magnetorotational instability when the Alfvén resonance frequency in a weakly ionized plasma is close to the rotation frequency of the accretion disk.

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Authors and Affiliations

  1. Research Institute of Physics, Southern Federal University, pr. Stachki 194, Rostov-on-Don, 344090, Russia

    V. V. Prudskikh

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  1. V. V. Prudskikh
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Original Russian Text © V.V. Prudskikh, 2011, published in Fizika Plazmy, 2011, Vol. 37, No. 10, pp. 934–943.

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Prudskikh, V.V. Reversal of the hall current and amplification of the magnetorotational instability in a weakly ionized plasma. Plasma Phys. Rep. 37, 871–880 (2011). https://doi.org/10.1134/S1063780X11080071

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  • DOI: https://doi.org/10.1134/S1063780X11080071

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