Stability criteria for massive current sheets in two-dimensional potential magnetic fields

Details Stability criteria for massive current sheets in two-dimensional potential magnetic fields Stability criteria for massive current sheets in two-dimensional potential magnetic fields

Sep 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...432..793a&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 432, no. 2, p. 793-805

Astronomy and Astrophysics

Astrophysics

4

Beta Particles, Current Sheets, Magnetic Fields, Solar Prominences, Stability, Stellar Models, Gravitational Fields, Magnetohydrodynamics, Stellar Coronas

Scientific paper

We investigate the linear stability of a simple model describing a solar prominence as a perfectly conducting vertical massive current sheet located in the 'coronal half-space' (z greater than 0), and supported against gravity by an x-invariant magnetic field. Assuming the region outside the sheet to be current-free and to contain a low-beta plasma having an infinite conductivity, and imposing the field lines to be firmly tied to the 'photospheric plane' (z = 0): (1) We show that the model is stable with respect to any perturbation which do not depend on x. (2) We derive necessary and sufficient conditions for three-dimensional stability to hold. As expected a priori, our criteria are much less severe than those Anzer obtained by taking the sheet to be embedded in a vacuum. They allow in particular -- contrary to Anzer's -- the stability of a sheet of low mass suspended in a region where the lines of the background field would have their concavity directed upward, were they unperturbed by the heavy plasma.

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