Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978apj...225.1050k&link_type=abstract
Astrophysical Journal, Part 1, vol. 225, Nov. 1, 1978, p. 1050-1057.
Astronomy and Astrophysics
Astrophysics
32
Dynamo Theory, Magnetohydrodynamics, Solar Magnetic Field, Turbulent Diffusion, Diffusion Coefficient, Incompressible Fluids, Scalars, Transport Properties, Vector Spaces
Scientific paper
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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