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Nonlinear Dynamo

2016/12/28 by Kopp, M. I., Tur, A. V., Yanovsky, V. V.
#Earth and Planetary Astrophysics (astro-ph.EP) #FOS: Physical sciences

paper · doi:10.48550/arxiv.1612.08860

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.

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