Physics
Scientific paper
Aug 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phflb...2.1928a&link_type=abstract
Physics of Fluids B (ISSN 0899-8221), vol. 2, Aug. 1990, p. 1928-1935.
Physics
16
Dynamo Theory, Force-Free Magnetic Fields, Half Spaces, Lines Of Force, Magnetohydrodynamic Stability, Magnetospheres, Perturbation Theory, Solar Corona
Scientific paper
Sufficient criteria of linear ideal magnetohydrodynamic stability are derived for a three-dimensional nonlinear force-free magnetic field B occupying an infinite region Omega, which is either a half-space or an 'exterior domain'; all the field lines of B are assumed to be firmly rooted in the line-typing condition, but their topological pattern may be otherwise quite arbitrary. Roughly speaking, a field characterized by a length scale Lambda is found to be stable if alpha sub 0 is less than O(1), where alpha sub 0 is a number measuring the magnitude of the force-free function. The stability criteria established here have some important astrophysical applications (solar corona, magnetosphere of a compact object, etc.), which are briefly discussed.
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