On the stability of coronal magnetic loops
Abstract
The propriety of assuming the existence of a rigid boundary condition at the edge of coronal magnetic loops, and the mechanisms that cause such a condition, are discussed. It is argued that if m = 1 is stable it is unnecessary to consider the modes where m is greater than one, but if m = 1 is not stable, it is not enough to examine m = 1 only. It is shown that the modes of m is greater than one may sometimes be more unstable than m = 1. Instead of applying a marginal instability analysis, the MHD momentum equation of compressible fluid is applied so that both the instability region and the growth rate of instability can be obtained simultaneously. The difficulties associated with the singularity in marginal stability analysis can thus be avoided.
 Publication:

Chinese Journal of Space Science
 Pub Date:
 October 1981
 Bibcode:
 1981ChJSS...1..102C
 Keywords:

 Boundary Value Problems;
 Coronal Loops;
 Magnetohydrodynamic Stability;
 Solar Corona;
 Boundary Conditions;
 Equations Of Motion;
 Equilibrium Equations;
 Free Boundaries;
 Linearization;
 Solar Physics;
 Solar Physics