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Effects of gyroviscosity and hall currents on the stability of a stratified rotating self-gravitating plasma

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Abstract

Instability in a horizontal layer of a stratified rotating self-gravitating plasma is studied to include simultaneously the effects of Hall currents and the finiteness of the ion Larmor radius. Proper solutions have been obtained through the variational methods for a semi-infinite plasma in which the density has an exponential gradient along the vertical. The dispersion relation obtained has been solved numerically and it is found that the growth rate of the unstable perturbations decreases with both coriolis forces and gyroviscous effects. The influence of the effects of gyroviscosity as well as of Coriolis forces is consequently stabilizing. Hall currents are found to have a destabilizing influence as the growth rate is found to increase with this effect.

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Authors and Affiliations

  1. Department of Mathematics, University of Lagos, Nigeria

    O. M. Opere & P. K. Bhatia

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  1. O. M. Opere
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  2. P. K. Bhatia
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On leave from Department of Mathematics, University of Jodhpur, Jodhpur, India.

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Opere, O.M., Bhatia, P.K. Effects of gyroviscosity and hall currents on the stability of a stratified rotating self-gravitating plasma. Astrophys Space Sci 95, 37–45 (1983). https://doi.org/10.1007/BF00661154

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  • DOI: https://doi.org/10.1007/BF00661154

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