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Renormalization method and singularities in the theory of Langmuir turbulence

Published online by Cambridge University Press:  13 March 2009

G. Pelletier
G. Pelletier
Affiliation:
Laboratoire de Physique des Plasmas, Equipe de Recherche Associée au C.N.R.S., Université de Grenoble I
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Abstract

The method of renormalization, using propagators and diagrams, is recalled with enough mathematical details to be read and used by a non-specialist. The Markovian models are discussed and applied to plasma turbulence. The physical meaning of the diagrams is exhibited. In addition to the usual resonance broadening, an improved renormalization is set out, including broadening of the nonlinear resonance with a beat wave by induced scattering. We emphasize this improved renormalization. In the case of Langmuir turbulence, it removes difficulties arising at the group velocity, and enhances large-scale induced-scattering diffusion.

Type
Research Article
Information
Journal of Plasma Physics , Volume 18 , Issue 1 , August 1977 , pp. 49 - 76
Copyright
Copyright © Cambridge University Press 1977

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