A Solvable Model for Nonlinear Mean Field Dynamo

Details A Solvable Model for Nonlinear Mean Field Dynamo A Solvable Model for Nonlinear Mean Field Dynamo

2001-05-21

arxiv.org/abs/astro-ph/0105354v1

ApJ 562 (2001) 1081

Astronomy and Astrophysics

Astrophysics

6 pages

Scientific paper

10.1086/323865

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.

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