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An Improved hierarchy for turbulent magnetized plasma Part 2. Application to resonant three-wave interactions

Published online by Cambridge University Press:  13 March 2009

Eldon J. Linnebur  and
Terry Kammash
Eldon J. Linnebur
Affiliation:
Department of Nuclear Engineering, University of Michigan
Terry Kammash
Affiliation:
Department of Nuclear Engineering, University of Michigan
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Abstract

The resonant three-wave interactions in an infinite homogeneous magnetized plasma are re-examined using the improved hierarchy presented in part 1. An equation for the wave energy is obtained which, for a spectrum made up entirely of marginally stable waves, is shown to be a second-order Markoffian differential equation, rather than a first-order equation as obtained by others. The conditions under which a first-order equation is derived are examined and discussed. For a spectrum composed of waves with small growth, rates, it is shown that the equation for the plasmon density always has a stationary solution, thus eliminating the occurrence of an ‘explosive instability’ in such systems.

Type
Research Article
Information
Journal of Plasma Physics , Volume 7 , Issue 2 , April 1972 , pp. 363 - 371
Copyright
Copyright © Cambridge University Press 1972

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References

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