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The evolution of wave correlations in uniformly turbulent, weakly non-linear systems

Published online by Cambridge University Press:  13 March 2009

Ronald C. Davidson
Ronald C. Davidson
Affiliation:
Department of Physics, University of California, Berkeley, California
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Abstract

A formalism is developed describing the time evolution of wave correlations in a uniformly turbulent ensemble of weakly non-linear systems. The statistics are built into the formalism a priori. With closure (of the hierarchy of equations for wave correlations) appropriate to the inclusion of resonant three-wave interactions, a (non-linear) kinetic equation for the two-wave correlations is derived and various properties of this equation are discussed. The effects of both bilinear and trilinear non-linearities are considered. Modifications of the formalism in situations where there is a weak (linear) instability γк, (γк/ωк ≪ 1) are also considered.

Type
Research Article
Information
Journal of Plasma Physics , Volume 1 , Issue 3 , August 1967 , pp. 341 - 359
Copyright
Copyright © Cambridge University Press 1967

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References

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