The present status of mean-field magnetohydrodynamics and the turbulent dynamo problem

Astronomy and Astrophysics – Astrophysics

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Conducting Fluids, Dynamo Theory, Magnetic Fields, Magnetohydrodynamics, Turbulence Effects, Electrodynamics, Electromagnetic Fields, Self Excitation, Turbulent Flow

Scientific paper

The paper examines some of the basic ideas of mean-field magnetohydrodynamics, a theory of the large-scale fields in turbulent conducting fluids where the large-scale effects of small-scale fields are regarded as certain averages of products of correlated small-scale quantities. Effects that turbulence should have on a magnetic field in a conducting fluid are discussed, including the enhancement of magnetic-field decay by turbulence and the generation of separate excited and self-excited dynamos. The development of a theory on the mean electromagnetic fields in turbulent conductors is reviewed, with emphasis on deriving the equations of mean-field electrodynamics. Calculations are presented to show how the problems of separate excited and self-excited dynamos can be treated in terms of mean-field electrodynamics and mean-field magnetohydrodynamics.

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