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Self-consistent calculation of the α-effect and turbulent magnetic diffusion

Published online by Cambridge University Press:  20 April 2006

I. T. Drummond
I. T. Drummond
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW
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Abstract

We use the method of Phythian & Curtis (1978) to obtain a self-consistent calculation, in lowest order of perturbation theory, for the α-coefficient and effective diffusivity of a magnetic field in a plasma with Gaussian turbulence.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 129 , April 1983 , pp. 337 - 345
Copyright
© 1983 Cambridge University Press

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References

Drummond, I. T. 1982 Path integral methods for turbulent diffusion J. Fluid Mech. 123, 59.Google Scholar
Kraichnan, R. H. 1970 Diffusion by a random velocity field Phys. Fluids 13, 22.Google Scholar
Kraichnan, R. H. 1976a Diffusion of weak magnetic fields by isotropic turbulence. J. Fluid Mech. 75, 657.Google Scholar
Kraichnan, R. H. 1976b Diffusion of passive-scalar and magnetic fields by helical turbulence. J. Fluid Mech. 77, 753.Google Scholar
Moffatt, H. K. 1979 Magnetic Field Generation in Electrically Conducting Fluids. Cambridge University Press.
Moffatt, H. K. 1981 Some developments in the theory of turbulence J. Fluid Mech. 106, 2747.Google Scholar
Roberts, P. H. & Stix, M. 1971 The Turbulent Dynamo: A Translation of a Series of papers by F. Krause, K.-H. Rädler and M. Steenbeck. Technical Note IA-60 Boulder, Colorado.
Phythian, R. & Curtis, W. D. 1978 The effective long-time diffusivity for a passive scalar field in a Gaussian model flow J. Fluid Mech. 89, 241.Google Scholar
Steenbeck, M., Krause, F. & RÄDLER, K.-H. 1966 Z. Naturforsch. 21 a, 369–376. [English translation in Roberts & Stix 1971.]