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Non-diffusive corrections to the long-scale behaviour of ensembles of turbulent magnetic lines: application of the functional method

Published online by Cambridge University Press:  13 March 2009

F. Spineanu ,
M. Vlad  and
J. H. Misguich
F. Spineanu
Affiliation:
Association EURATOM—CEA sur la Fusion, DRFC, Centre d'Études de Cadarache, F- 13108 Saint-PauI-lez-Durance Cedex, France
M. Vlad
Affiliation:
Association EURATOM—CEA sur la Fusion, DRFC, Centre d'Études de Cadarache, F- 13108 Saint-PauI-lez-Durance Cedex, France
J. H. Misguich
Affiliation:
Association EURATOM—CEA sur la Fusion, DRFC, Centre d'Études de Cadarache, F- 13108 Saint-PauI-lez-Durance Cedex, France
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Abstract

The transverse spreading of magnetic field lines in a turbulent plasma is investigated analytically in order to obtain a statistical characterization at large spatial scales. We develop a functional-integral method that allows us to calculate in a systematic way statistical averages of physical quantities that depend on the fluctuating field. The known magnetic diffusion coefficient for the shear-free case is corrected with a term arising from the assumption of a finite transverse correlation length. For the case with magnetic shear the functional method provides the appropriate framework for a perturbative approach based on diagram series.

Type
Research Article
Information
Journal of Plasma Physics , Volume 51 , Issue 1 , February 1994 , pp. 113 - 138
Copyright
Copyright © Cambridge University Press 1994

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