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Modulational stability of electron plasma wave spectra

Published online by Cambridge University Press:  18 July 2014

H. L. Pécseli
H. L. Pécseli*
Affiliation:
Department of Physics, University of Oslo, P. O. Box 1048, Blindern, N-0316 Oslo, Norway
*
Email address for correspondence: hans.pecseli@fys.uio.no
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Abstract

Analytical models for weakly nonlinear electron plasma waves are considered in order to obtain dynamic equations for the space-time evolution of their local power spectra. The model contains the wave kinetic equation as a limiting case for slow, long wavelength modulations. It is demonstrated that a finite spectral width in wavenumbers has a stabilizing effect on the modulational instability. The results invite a simple heuristic relation between the spectral width and the root-mean-square amplitude of stable stationary turbulent Langmuir wave spectra. A non-local average dispersion relation is derived as a limiting form by using the formalism developed for the spectral dynamics.

Type
Papers
Information
Journal of Plasma Physics , Volume 80 , Issue 5 , October 2014 , pp. 745 - 769
Copyright
Copyright © Cambridge University Press 2014 

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