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Modulational instability produced by Alfvénic turbulence in a collisionless plasma

Published online by Cambridge University Press:  13 March 2009

Hiromitsu Hamabata
Affiliation:
Department of Physics, Faculty of Science, Osaka City University, Osaka 558, Japan

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 Alfvénic turbulence in a finite-β plasma with dispersion and phenomenological Landau-damping effects. The stability of Alfvénic turbulence is then analysed by solving the derived mean-field equations. It is shown that parallel-propagating turbulent Alfvén waves with dispersion can be modulationally unstable, leading to amplification of large-scale Alfvén waves and acoustic waves when Landau-damping effects are strong and weak respectively.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1991

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References

Barnes, A. 1966 Phys. Fluids 9, 1483.CrossRefGoogle Scholar
Belcher, J. W. & Davies, L. 1971 J. Geophys. Res. 76, 3534.CrossRefGoogle Scholar
Galeev, A. A. & Oraevskii, V. N. 1963 Soviet Phys. Dokl. 7, 988.Google Scholar
Hamabata, H. & Namikawa, T. 1988 J. Plasma Phys. 39, 139.CrossRefGoogle Scholar
Hamabata, H. & Namikawa, T. 1990 J. Plasma Phys. 43, 69.CrossRefGoogle Scholar
Lashmore-Davies, C. N. 1976 Phys. Fluids 19, 587.CrossRefGoogle Scholar
Vedenov, A. A. & Rudakov, L. I. 1965 Soviet Phys. Dokl. 9, 1073.Google Scholar