Nonlinear Dynamo
Earth and Planetary Astrophysics
2016-12-30 v1
Abstract
In this manuscript using the asymptotic method of multiscale nonlinear theory we construct a nonlinear theory of the appearance of large-scale structures in the stratified conductive medium with the presence of small-scale oscillations of the velocity field and magnetic fields. These small-scale stationary oscillations are maintained by small external sources at low Reynolds numbers. We obtain a nonlinear system of equations describing the evolution of large-scale structures of the velocity field and magnetic fields. The linear stage of evolution leads to the known instability. In this article we consider the stationary large-scale structures of a magnetic field arising at stabilization of linear instability.
Cite
@article{arxiv.1612.08860,
title = {Nonlinear Dynamo},
author = {M. I. Kopp and A. V. Tur and V. V. Yanovsky},
journal= {arXiv preprint arXiv:1612.08860},
year = {2016}
}