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Anomalous transport coefficients in a magnetized turbulent plasma

Published online by Cambridge University Press:  13 March 2009

Qiu Xiaoming  and
R. Balescu
Qiu Xiaoming
Affiliation:
Faculté des Sciences, C.P. 231, Association Euratom-Etat Belge, Université Libre de Bruxelles, Campus Plaine, 1050 Bruxelles
R. Balescu
Affiliation:
Faculté des Sciences, C.P. 231, Association Euratom-Etat Belge, Université Libre de Bruxelles, Campus Plaine, 1050 Bruxelles
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Abstract

In this paper we generalize the formalism developed by Balescu and Paiva-Veretennicoff, valid for any kind of weak turbulence, for the determination of all the transport coefficients of an unmagnetized turbulent plasma, to the case of a magnetized one, and suggest a technique to avoid finding the inverse of the turbulent collision operator. The implicit plasmadynamical equations of a two-fluid plasma are presented by means of plasmadynamical variables. The anomalous transport coefficients appear in their natural places in these equations. It is shown that the necessary number of transport coefficients for describing macroscopically the magnetized turbulent plasma does not exceed the number for the unmagnetized one. The typical turbulent and gyromotion terms, representing dissipative effects peculiar to the magnetized system, which contribute to the frequency-dependent transport coefficients are clearly exhibited.

Type
Research Article
Information
Journal of Plasma Physics , Volume 28 , Issue 2 , October 1982 , pp. 193 - 214
Copyright
Copyright © Cambridge University Press 1982

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