Turbulent diffusion of magnetic fields

Astronomy and Astrophysics – Astrophysics

Scientific paper

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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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