On perturbations of magnetic field configurations
Abstract
The behavior of stationary equilibrium solutions to the MHD equations possessing a welldefined symmetry to perturbations lacking that symmetry is explored. Two distinct situations of astrophysical interest are considered: solutions of the magnetostatic equations and of the magnetoconvection equations. The results show that in these cases changes in solution topology are not accessible to smallparameter (epsilon) expansions, so that such expansions do not describe the full range of behavior. In particular, finiteamplitude perturbations can lead to new stationary solutions possessing different symmetries from the initial solution.
 Publication:

The Astrophysical Journal
 Pub Date:
 November 1982
 DOI:
 10.1086/160428
 Bibcode:
 1982ApJ...262..349R
 Keywords:

 Astrophysics;
 Magnetic Field Configurations;
 Magnetohydrodynamics;
 Perturbation Theory;
 Convection;
 Magnetostatics;
 Nonlinearity;
 Steady State;
 Turbulent Diffusion;
 Astrophysics