Rayleigh-Taylor instability of a Hall plasma with arbitrary density gradient

Details Rayleigh-Taylor instability of a Hall plasma with arbitrary density gradient Rayleigh-Taylor instability of a Hall plasma with arbitrary density gradient

Oct 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ap%26ss.184..205a&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 184, no. 2, Oct. 1991, p. 205-219. Research supported by University of Cal

Astronomy and Astrophysics

Astrophysics

1

Hall Effect, Plasma Density, Plasma Layers, Taylor Instability, Density Distribution, Electric Current, Galerkin Method, Magnetic Fields

Scientific paper

The Rayleigh-Taylor instability of a plasma layer in the presence of a horizontal magnetic field is investigated, taking into account the effects of Hall-currents and an arbitrarily large density gradient. It is shown for the general case that, if the density decreases vertically upward, the system is thoroughly stable. For a plasma layer with exponentially varying density, an approximate dispersion relation is obtained using the Galerkin's method. An analysis of the roots of the dispersion relation reveals that the Hall-currents loosen the stabilizing influence of the magnetic field and impart instability to the system. For sufficiently large values of the density gradient and the Hall currents, the system is thoroughly destabilized for all perturbations.

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