Transition to chaos and magnetic field generation in rotating Rayleigh-Bénard convection
arXiv:2402.02908 · doi:10.1088/1402-4896/ad741e
Abstract
Hydrodynamic and magnetohydrodynamic convective attractors in three-dimensional rotating Rayleigh-Bénard convection are studied numerically by varying the Taylor and Rayleigh numbers as control parameters. First, an analysis of hydrodynamic attractors and their bifurcations is conducted, where routes to chaos via quasiperiodicity are identified. Second, the behaviour of the magnetohydrodynamic system is investigated by introducing a seed magnetic field and measuring its growth or decay as a function of the Taylor number, while keeping the Rayleigh number fixed. Analysis of the attractors shows that rotation has a significant impact on magnetic field generation in Rayleigh-Bénard convection, with the critical magnetic Prandtl number changing nonmonotonically with the rotation rate. It is argued that a nonhysteretic blowout bifurcation with on-off intermittency is responsible for the transitions to dynamo.
References in corpus (16)
- Turbulent geodynamo simulations: a leap towards Earth's core
- Dynamo theories
- Advances in mean-field dynamo theory and applications to astrophysical turbulence
- Evolution of solar and stellar dynamo theory
- Laboratory Exploration of Heat Transfer Regimes in Rapidly Rotating Turbulent Convection
- Experimental study of the convection in a rotating tangent cylinder
- A novel type of intermittency in a nonlinear dynamo in a compressible flow
- Hysteresis between distinct modes of turbulent dynamos
- Dependence of magnetic field generation by thermal convection on the rotation rate: a case study
- Large-scale-vortex dynamos in planar rotating convection
- Route to hyperchaos in Rayleigh-Benard convection
- Large-eddy simulation of Rayleigh-Bénard convection at extreme Rayleigh numbers
- Regimes of thermo-compositional convection and related dynamos in rotating spherical shells
- Magnetic field generation by intermittent convection
- Asymptotic behaviour of rotating convection-driven dynamos in the plane layer geometry
- Chaotic saddles in a generalized Lorenz model of magnetoconvection