On perturbations of magnetic field configurations

Details On perturbations of magnetic field configurations On perturbations of magnetic field configurations

Nov 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982apj...262..349r&link_type=abstract

Astrophysical Journal, Part 1, vol. 262, Nov. 1, 1982, p. 349-357. Research supported by the Alfred P. Sloan Foundation and Smi

Astronomy and Astrophysics

Astrophysics

31

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

Scientific paper

The behavior of stationary equilibrium solutions to the MHD equations possessing a well-defined 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 small-parameter (epsilon) expansions, so that such expansions do not describe the full range of behavior. In particular, finite-amplitude perturbations can lead to new stationary solutions possessing different symmetries from the initial solution.

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