Nonlinear dynamo in obliquely rotating electroconductive fluids
Plasma Physics
2017-11-27 v1
Abstract
In the present paper, we study a new type of large-scale instability, which arises in obliquely rotating electroconductive fluids with a small-scale external force of zero helicity. This force excites small-scale velocity oscillations with a small Reynolds number. We used the method of multiscale asymptotic expansions. The nonlinear equations for vortex and magnetic perturbations motions are obtained up to third order in Reynolds number. The linear stage of the magneto-vortex dynamo, arising as a result of instabilities of the type of hydrodynamic and magnetohydrodynamic - effects, is investigated. Stationary solutions of nonlinear equations of magneto-vortex dynamo in the form of localized chaotic structures are found numerically.
Cite
@article{arxiv.1711.08623,
title = {Nonlinear dynamo in obliquely rotating electroconductive fluids},
author = {M. I. Kopp and A. V. Tur and V. V. Yanovsky},
journal= {arXiv preprint arXiv:1711.08623},
year = {2017}
}