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Overstable convection in a non-uniform magnetic field

Published online by Cambridge University Press:  03 August 2017

D. Hermans ,
M. Goossens ,
W. Kerner  and
K. Lerbinger
D. Hermans
Affiliation:
Astronomisch instituut, K.U. Leuven Celestijnenlaan 200B B-3030 Heverlee, Belgium Research Assistant of the N.F.S.R. of Belgium
M. Goossens
Affiliation:
Astronomisch instituut, K.U. Leuven Celestijnenlaan 200B B-3030 Heverlee, Belgium
W. Kerner
Affiliation:
Max Planck Institut für Plasmaphysik Boltzmannstrasse 2 D-8046 Garching bei München, B.R.D.
K. Lerbinger
Affiliation:
Max Planck Institut für Plasmaphysik Boltzmannstrasse 2 D-8046 Garching bei München, B.R.D.

Abstract

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The linear spectrum of a non-homogeneous, compressible and thermally conducting planar plasma with a vertical gravitational field and a sheared horizontal magnetic field is studied. It is shown that the spectrum has two continuous parts. The Alfvén continuum of linear ideal MHD is unaffected by radiative conduction, but the slow continuum is removed and replaced by a new continuous part which has been called isothermic continuum. Purely exponentially growing and overstable normal modes have been determined numerically and the distribution of their eigenfrequencies in the complex plane has been studied. The eigenfrequencies lie on specific curves in the complex plane which are partially determined by the isothermic continuum.

Type
Chapter 6: Excitation and Damping of Solar and Stellar Oscillations
Information
Symposium - International Astronomical Union , Volume 123: Advances In Hello- and Asteroseismology , 1988 , pp. 395 - 398
Copyright
Copyright © Reidel 1988 

References

Cox, J.P.: 1984, Astrophys. J. 280, 220 CrossRefGoogle Scholar
Hermans, D. and Goossens, M.: 1986, Astron. Astrophys., in press Google Scholar
Shibahashi, H.: 1983, Astrophys. J. 275, L 5 Google Scholar