The stability of a line-tied force-free magnetic field in an unbounded region of space

Physics

Scientific paper

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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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