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Re-normalized quasi-linear approximation of plasma turbulence: Part 2. Validity of short-time expansion and Markovian truncation of the propagator

Published online by Cambridge University Press:  13 March 2009

J. H. Misguich  and
R. Balescu
J. H. Misguich
Affiliation:
Association Euratom-CEA, Départment de la Physique du Plasma et de la Fusion Contrôlée, Centre d'Etudes Nucléaires, Boite 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

In part 1 (Misguich & Balescu 1975) the Dupree description of plasma turbulence (i.e. the weak-coupling approximation of Weinstock) was derived and completed in the framework of the re-normalized quasi-linear approximation. The time behaviour of the frequency shift and of the Dupree damping was proved to be modified by time-ordering effects, usually neglected. In part 2 we show that a Markovian truncation must be applied to the basic average propagator Ū, to recover the short-time expansion of Birmingham & Bornatici. Such an expansion is shown to be generally non-convergent. The corresponding short-time results are invalid.

Type
Research Article
Information
Journal of Plasma Physics , Volume 13 , Issue 3 , June 1975 , pp. 419 - 427
Copyright
Copyright © Cambridge University Press 1975

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References

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