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Mean-field magnetohydrodynamics associated with random Alfvén waves in a plasma with weak magnetic diffusion

Published online by Cambridge University Press:  13 March 2009

Hiromitsu Hamabata  and
Tomikazu Namikawa
Hiromitsu Hamabata
Affiliation:
Department of Physics, Faculty of Science, Osaka City University, Osaka 558, Japan
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, a new equation is derived governing the evolution of the spectrum tensor (including the energy and helicity spectrum functions) of the random velocity field as well as the ponderomotive and mean electromotive forces generated by random Alfvén waves in a plasma with weak magnetic diffusion. The ponderomotive and mean electromotive forces are expressed as series involving spatial derivatives of mean magnetic and velocity fields whose coefficients are associated with the helicity spectrum function of the random velocity field. The effect of microscale random Alfvén waves, through ponderomotive and mean electromotive forces generated by them, on the propagation of large-scale Alfvén waves is also investigated by solving the mean-field equations, including the transport equation of the helicity spectrum function.

Type
Research Article
Information
Journal of Plasma Physics , Volume 39 , Issue 1 , February 1988 , pp. 139 - 149
Copyright
Copyright © Cambridge University Press 1988

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References

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