Unstable poloidal magnetic fields in stars

Details Unstable poloidal magnetic fields in stars Unstable poloidal magnetic fields in stars

May 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982a%26a...109..166v&link_type=abstract

Astronomy and Astrophysics, vol. 109, no. 1, May 1982, p. 166-170.

Astronomy and Astrophysics

Astrophysics

9

Dynamic Stability, Magnetic Field Configurations, Magnetic Stars, Stellar Magnetic Fields, Magnetohydrodynamic Stability, Polytropic Processes, Taylor Series

Scientific paper

The dynamic stability of an axisymmetric star with a purely poloidal magnetic field is studied by means of the energy method. It is shown that a poloidal magnetic field is always unstable at a simple neutral point, which is encircled by the magnetic field lines. The results obtained by Wright and by Markey and Tayler for particular field geometries are thus generalized. The sigma-energy method is used to obtain the growth rates of instabilities in the neighbourhood of a simple neutral point. Numerical applications to weak poloidal fields in polytropes show that these fields are unstable with very short e-folding times.

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