Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992ap%26ss.196..153a&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 196, no. 1, p. 153-166.
Astronomy and Astrophysics
Astrophysics
2
Larmor Radius, Magnetohydrodynamic Stability, Plasma Oscillations, Rayleigh Scattering, Taylor Instability, Density Distribution, Plasma Density
Scientific paper
The stability of an infinitely conducting plasma of variable density is investigated taking into account the finiteness of the ion Larmor radius. The perturbations propagating along the ambient magnetic field are considered. It is established that, in general, n squared is necessarily real, where n is the growth rate of disturbance, thus ruling out the possibility of overstability or damped oscillations. The solution is shown to be characterized by a variational principle, which provides the basis for obtaining an approximate solution of the problem. Two density distributions are considered: (1) a continuously stratified plasma layer, and (2) two semi-infinitely extending plasmas of constant densities separated by a horizontal interface. In both cases it has been shown that for the said disturbances the stability criterion remains unaffected by the inclusion of finite Larmor radius effects, though the amplified motion is strongly inhibited due to their inclusion.
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