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Re-normalized quasi-linear approximation of plasma turbulence: Part 1. Modification of the Weinstock weak-coupling limit

Published online by Cambridge University Press:  13 March 2009

J. H. Misguich  and
R. Balescu
J. H. Misguich
Affiliation:
Association Euratom – CEA sur la Fusion Département de Physique du Plasma et de la Fusion Contrôlée Centre d'Etudes Nucléaires, Boîte Postale no. 6, 92260 Fontenay-aux-Roses, France
R. Balescu
Affiliation:
Association Euratom-Etat Beige, Faculté des Sciences, Université Libre de Bruxelles, 1050 Bruxelles
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Abstract

A re-normalized expansion is presented for the solution of the fluctuating Vlasov equation for turbulent plasmas. Its first term can be identified with the Weinstock result in the weak-coupling approximation. The use of time-ordering operators allows one to solve the Weinstock UA evolution operator explicitly. Detailed results are given for the weak-coupling approximation, presented here as a simple re-normalization of the quasi-linear theory. Results of Weinstock and Birmingham & Bornatici, concerning the frequency shift, resonance broadening and Dupree damping appear to be deeply modified by similar corrective terms. These arise from a consistent handling of expressions involving non-commuting operators.

Type
Research Article
Information
Journal of Plasma Physics , Volume 13 , Issue 3 , June 1975 , pp. 385 - 417
Copyright
Copyright © Cambridge University Press 1975

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