English

Nonlinear dynamo in obliquely rotating stratified electroconductive fluid in an uniformly magnetic field

Fluid Dynamics 2018-07-06 v1 Chaotic Dynamics Plasma Physics

Abstract

We study a new type of large-scale instability, which arises in obliquely rotating stratified electroconductive fluid with an external uniform magnetic field and a small-scale external force having zero helicity. This force gives rise to small-scale oscillations of the velocity with a small Reynolds number. Using the method of multi-scale asymptotic expansions there are obtained nonlinear equations for vortex and magnetic perturbations in the third order in Reynolds number. Studied is the linear stage of magneto-vortex dynamo caused by instabilities of α\alpha-effect type. Stationary solutions for the equations of nonlinear magneto-vortex dynamo are found by numerical methods in the form of localized chaotic structures.

Keywords

Cite

@article{arxiv.1807.01986,
  title  = {Nonlinear dynamo in obliquely rotating stratified electroconductive fluid in an uniformly magnetic field},
  author = {M. I. Kopp and K. N. Kulik and A. V. Tur and V. V. Yanovsky},
  journal= {arXiv preprint arXiv:1807.01986},
  year   = {2018}
}

Comments

38 pages, 24 figures