A Solvable Model for Nonlinear Mean Field Dynamo

Preprint

21 May 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.astro-ph/0105354

Abstract

We formulate a solvable model that describes generation and saturation of mean magnetic field in a dynamo with kinetic helicity, in the limit of large magnetic Prandtl number. This model is based on the assumption that the stochastic part of the velocity field is Gaussian and white in time (the Kazantsev-Kraichnan ensemble), while the regular part describing the back reaction of the magnetic field is chosen from balancing the viscous and Lorentz stresses in the MHD Navier-Stokes equation. The model provides an analytical explanation for previously obtained numerical results.

Keywords

SOLVABLE MODEL
MAGNETIC FIELD
NONLINEAR MEAN
STOCHASTIC
MEAN FIELD
LORENTZ
DYNAMO
MHD

All Related Versions

Version 1, 2001-05-21, ArXiv
Published version: The Astrophysical Journal, 562 (2), 1081.

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