Chaotic magnetoconvection in a non-uniformly rotating electroconductive fluids

TL;DR

This paper investigates chaotic magnetoconvection in a non-uniformly rotating plasma layer under a magnetic field, revealing how convection parameters influence chaotic behavior through numerical analysis of Lorentz-type equations.

Contribution

It introduces a new model for magnetoconvection in non-uniformly rotating plasmas and analyzes the onset of chaos using Galerkin approximation and numerical methods.

Findings

Chaotic behavior depends on Rayleigh, Chandrasekhar, and Taylor numbers.

Criteria for chaos are derived based on system parameters.

Numerical simulations confirm the presence of chaos in the model.

Abstract

We study a new type of magnetoconvection in a nonuniform rotating plasma layer under a constant vertical magnetic field. To describe the weakly nonlinear stage of convection we apply Galerkin-truncated approximation and we obtain the system of equations of Lorentz type. A numerical analysis of these equations shows the presence of chaotic behavior of convective flows. Criteria for the appearance of chaotic motions are found depending on the convection parameters (Rayleigh number $\textrm{Ra}$), magnetic field (Chandrasekhar number $\textrm{Q}$), rotation (Taylor number $\textrm{Ta}$) for the Keplerian angular velocity profile $(\textrm{Ro}=-3/4)$ of the medium.