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α-Stability Analysis of Hydromagnetic Instabilities in Stars with Toroidal Magnetic Fields

Published online by Cambridge University Press:  12 April 2016

M. Goossens  and
D. Biront
M. Goossens
Affiliation:
Astronomisch Instituut Katholieke Universiteit Leuven, Naamsestraat 61 B-3000 Leuven, Belgium
D. Biront
Affiliation:
Astronomisch Instituut Katholieke Universiteit Leuven, Naamsestraat 61 B-3000 Leuven, Belgium

Abstract

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α-stability analysis is used to investigate the adiabatic stability of a star containing an axisymmetric toroidal magnetic field. Necessary and sufficient conditions for α-stability are derived. Special attention is devoted to the typical hydromagnetic instabilities that can be introduced by a weak toroidal magnetic field in a star that is stably stratified in the absence of any magnetic field. An expression for the maximum growth rate of instability is derived and the basic properties of the displacement fields associated with the instabilities are indicated.

Type
XII. Effect of Rotation and Magnetic Fields on Pulsation
Information
International Astronomical Union Colloquium , Volume 58: Stellar Hydrodynamics , August 1980 , pp. 667 - 672
Copyright
Copyright © Reidel 1980

References

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