Magnetic helicity fluxes in interface and flux transport dynamos

TL;DR

This paper investigates how magnetic helicity fluxes influence the saturation of solar and stellar dynamos, revealing that fluxes can mitigate catastrophic quenching and affect dynamo wave propagation.

Contribution

It introduces a model incorporating magnetic helicity fluxes in a spherical dynamo, demonstrating their role in alleviating quenching and influencing dynamo wave behavior.

Findings

Magnetic helicity fluxes reduce catastrophic quenching effects.

Secondary poleward dynamo waves can emerge at high latitudes.

Fluxes from turbulence and circulation help sustain magnetic fields.

Abstract

Dynamos in the Sun and other bodies tend to produce magnetic fields that possess magnetic helicity of opposite sign at large and small scales, respectively. The build-up of magnetic helicity at small scales provides an important saturation mechanism. In order to understand the nature of the solar dynamo we need to understand the details of the saturation mechanism in spherical geometry. In particular, we want to understand the effects of magnetic helicity fluxes from turbulence and meridional circulation. We consider a model with just radial shear confined to a thin layer (tachocline) at the bottom of the convection zone. The kinetic alpha owing to helical turbulence is assumed to be localized in a region above the convection zone. The dynamical quenching formalism is used to describe the build-up of mean magnetic helicity in the model, which results in a magnetic alpha effect that feeds back on the kinetic alpha effect. In some cases we compare with results obtained using a simple algebraic alpha quenching formula. In agreement with earlier findings, the magnetic alpha effect in the dynamical alpha quenching formalism has the opposite sign compared with the kinetic alpha effect and leads to a catastrophic decrease of the saturation field strength with increasing magnetic Reynolds numbers. However, at high latitudes this quenching effect can lead to secondary dynamo waves that propagate poleward due to the opposite sign of alpha. Magnetic helicity fluxes both from turbulent mixing and from meridional circulation alleviate catastrophic quenching.