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Title:
Turbulent diffusion of magnetic fields
Authors:
Knobloch, E.
Affiliation:
AA(Harvard College Observatory and Smithsonian Astrophysical Observatory, Cambridge, Mass.)
Publication:
Astrophysical Journal, Part 1, vol. 225, Nov. 1, 1978, p. 1050-1057. (ApJ Homepage)
Publication Date:
11/1978
Category:
Solar Physics
Origin:
STI
NASA/STI Keywords:
Dynamo Theory, Magnetohydrodynamics, Solar Magnetic Field, Turbulent Diffusion, Diffusion Coefficient, Incompressible Fluids, Scalars, Transport Properties, Vector Spaces
DOI:
10.1086/156572
Bibliographic Code:
1978ApJ...225.1050K

Abstract

The exact Eulerian formulation of the problem of the diffusion of passive scalar and magnetic fields by a turbulent velocity field is used to obtain sufficient conditions for the validity of the mean-field approximation. A general derivation of the dynamo equation in a homogeneous, stationary, incompressible, perfectly conducting turbulent fluid is presented and the conditions for its validity are discussed. It is shown that the renormalized transport coefficients are formally equivalent to those obtained in the exact Lagrangian analysis.

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