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The effect of random Alfvén waves on the propagation of hydromagnetic waves in a finite-beta plasma

Published online by Cambridge University Press:  13 March 2009

Hiromitsu Hamabata  and
Tomikazu Namikawa
Hiromitsu Hamabata
Affiliation:
Space Science Division, NASA Ames Research Center, Moffett Field, California 94035, U.S.A.
Tomikazu Namikawa
Affiliation:
Department of Physics, Faculty of Science, Osaka City University, Osaka 558, Japan
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Abstract

Using first-order smoothing theory, Fourier analysis and perturbation methods, we obtain the evolution equation of the wave spectrum as well as the nonlinear forces generated by random Alfvén waves in a finite-β plasma with phenomenological Landau-damping effects. The effect of microscale random Alfvén waves on the propagation of large-scale hydromagnetic waves is also investigated by solving the mean-field equations. It is shown that parallel-propagating random Alfvén waves are modulationally stable and that obliquely propagating random Alfvén waves can be modulationally unstable when the energy of random waves is converted to slow magneto-acoustic waves that can be Landau-damped, providing a dissipation mechanism for the Alfvén waves.

Type
Research Article
Information
Journal of Plasma Physics , Volume 43 , Issue 1 , February 1990 , pp. 69 - 82
Copyright
Copyright © Cambridge University Press 1990

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References

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