A&A 430, 567-569 (2005)
DOI: 10.1051/0004-6361:20042138
Cosmic ray moderation of the thermal instability
A. Y. Wagner1, S. A. E. G. Falle2, T. W. Hartquist1 and J. M. Pittard11 School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, UK
e-mail: ayw@ast.leeds.ac.uk
2 Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK
(Received 7 October 2004 / Accepted 6 November 2004 )
Abstract
We apply the Hermite-Bieler theorem in the analysis of the effect of cosmic rays on the thermal stability of an initially
uniform, static background. The cosmic rays were treated in a fluid approximation and the diffusion coefficient was assumed
to be constant in time and space. The inclusion of cosmic rays does not alter the criterion for the thermal stability of a
medium subjected to isobaric perturbations. It does alter the criteria for the stability of a medium perturbed by small amplitude
sound waves. In the limit of a high background cosmic ray pressure to thermal pressure ratio, the instability in response
to high frequency sound waves is suppressed.
Key words: ISM: kinematics and dynamics -- ISM: cosmic rays -- hydrodynamics -- instabilities
© ESO 2005
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