Stability Criteria for Massive Current Sheets in Twodimensional Potential Magnetic Fields
Abstract
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 halfspace' (z greater than 0), and supported against gravity by an xinvariant magnetic field. Assuming the region outside the sheet to be currentfree and to contain a lowbeta 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 threedimensional 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.
 Publication:

The Astrophysical Journal
 Pub Date:
 September 1994
 DOI:
 10.1086/174617
 Bibcode:
 1994ApJ...432..793A
 Keywords:

 Beta Particles;
 Current Sheets;
 Magnetic Fields;
 Solar Prominences;
 Stability;
 Stellar Models;
 Gravitational Fields;
 Magnetohydrodynamics;
 Stellar Coronas;
 Solar Physics;
 INSTABILITIES;
 MAGNETOHYDRODYNAMICS: MHD;
 PLASMAS;
 SUN: PROMINENCES