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Reactive and resistive nonlinear instabilities

Published online by Cambridge University Press:  13 March 2009

D. B. Melrose
Affiliation:
School of Physics, University of Sydney, Sydney, NSW 2006, Australia

Abstract

It is argued that familiar nonlinear instabilities, such as three-wave decay instabilities and scattering off quasi-modes, have reactive and resistive versions. In appropriate limits these versions correspond to fixed-phase parametric instabilities and to random phase growth in weak turbulence theory, respectively. Using a simplified model it is shown that the reactive version passes over into the resistive version when the band-width of the pump is comparable with the growth rate.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1986

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