On unstably stratified toroidal magnetic fields in stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Dynamic Stability, Magnetic Field Configurations, Magnetohydrodynamic Stability, Stellar Magnetic Fields, Stellar Rotation, Displacement, Perturbation Theory, Toroids

Scientific paper

A previous discussion of the stability of stars containing an axisymmetric toroidal magnetic field is extended and it is shown that there exist continuous perturbations which give a negative value of (delta) (W to the sigma power) when one of the conditions for stability is violated; this contradicts a conclusion reached by Dicke. The main characteristics of the displacement fields that are associated with the instabilities in the special, but astrophysically relevant, case of a weak toroidal field are indicated. In particular, axisymmetric toroidal magnetic fields with a strength of 100 million G in the cores of solar-type stars produce instabilities with e-folding times of the order of a few hours.

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