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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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