The root-mean-square magnetic field in turbulent diffusion

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Euler Equations Of Motion, Stellar Magnetic Fields, Turbulent Diffusion, Velocity Distribution, Autocorrelation, Differential Equations, Dynamo Theory, Helical Flow, Magnetohydrodynamics, Stellar Envelopes, Vector Analysis

Scientific paper

The exact Eulerian formulation of the problem of diffusion of vector fields by a turbulent velocity field is used to calculate the mean-square magnetic field (the mean energy) to third order in the velocity autocorrelation time. The calculation is carried out for zero ordinary diffusivity and for homogeneous, stationary, isotropic, incompressible, helical turbulence. It is found that the rms magnetic field behaves quite differently from the mean field.

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