Finite Larmor radius effects on the Rayleigh-Taylor instability of a rotating plasma of variable density |
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| Authors: | P K Bhatia J M Steiner |
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| Institution: | 1. Dept. of Mathematics, Faculty of Engineering, University of Jodhpur, Jodhpur, India
2. Dept. of Mathematics, Monash University, Clayton, Victoria, Australia
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| Abstract: | The Rayleigh-Taylor instability in a rotating plasma of variable density has been investigated to include simultaneously the effects of viscosity and the finiteness of the ion Larmor radius. It is shown that, for a plasma in which the density is stratified along the vertical, the solution is characterized by a variational principle. Making use of this, proper solutions have been otained for a semiinfinite plasma in which the density varies exponentially. The dispersion relation has been solved numerically and it is found that the influence of the effects of both FLR and viscosity is stabilizing. The Coriolis forces are found to have a dual role, stabilizing for small wave numbers and destabilizing for large wave numbers. The range of the small wave numbers, over which the Coriolis forces have a stabilizing influence, is found to increase with Coriolis forces. |
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