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Alfvén waves in a stochastic magnetic field

Published online by Cambridge University Press:  13 March 2009

M. L. Mittal  and
Y. S. Prahalad
M. L. Mittal
Affiliation:
Department of Mathematics, Indian Institute of Technology, Powai, Bombay –400076
Y. S. Prahalad
Affiliation:
Department of Mathematics, Indian Institute of Technology, Powai, Bombay –400076
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Abstract

Parametric amplification of Alfvén waves in a plasma, subjected to a spatially uniform but temporally stochastic magnetic field, is investigated. The analysis is made using Bogoliubov and Mitropoisky's asymptotic method and Stratanovich's method for stochastic differential equations. This enables us to obtain the probability distribution function for the evolution of the wave, under Markovian approximation. Thus, a complete statistical characterization of the wave can be obtained, if needed. It is shown that Alfvén waves with wavelengths larger than the radius of the plasma column are amplified with probability unity, if the power spectral density of the fluctuating field at twice the wave frequency is non-zero.

Type
Research Article
Information
Journal of Plasma Physics , Volume 17 , Issue 2 , April 1977 , pp. 147 - 151
Copyright
Copyright © Cambridge University Press 1977

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References

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