The rootmeansquare magnetic field in turbulent diffusion.
Abstract
The exact Eulerian formulation of the problem of diffusion of vector fields by a turbulent velocity field is used to calculate the meansquare 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.
 Publication:

The Astrophysical Journal
 Pub Date:
 February 1978
 DOI:
 10.1086/155909
 Bibcode:
 1978ApJ...220..330K
 Keywords:

 Euler Equations Of Motion;
 Stellar Magnetic Fields;
 Turbulent Diffusion;
 Velocity Distribution;
 Autocorrelation;
 Differential Equations;
 Dynamo Theory;
 Helical Flow;
 Magnetohydrodynamics;
 Stellar Envelopes;
 Vector Analysis;
 Plasma Physics;
 Hydromagnetics:Turbulence