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

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 $\alpha$-effect type. Stationary solutions for the equations of nonlinear magneto-vortex dynamo are found by numerical methods in the form of localized chaotic structures.

38 pages, 24 figures

References in corpus (5)

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• Large-scale instability in hydrodynamics with stable temperature stratification driven by small-scale helical force
• Nonlinear vortex structures in obliquely rotating stratified fluids driven by small scale non helical forces
• Nonlinear dynamo in obliquely rotating electroconductive fluids
• Nonlinear Dynamo