A mean-field Babcock-Leighton solar dynamo model with long-term variability

Abstract

Dynamo models relying on the Babcock-Leighton mechanism are successful in reproducing most of the solar magnetic field dynamical characteristics. However, considering that such models operate only above a lower magnetic field threshold, they do not provide an appropriate magnetic field regeneration process characterizing a self-sustainable dynamo. In this work we consider the existence of an additional α-effect to the Babcock-Leighton scenario in a mean-field axisymmetric kinematic numerical model. Both poloidal field regeneration mechanisms are treated with two different strength-limiting factors. Apart from the solar antisymmetric parity behavior, the main solar features are reproduced: cyclic polarity reversals, midlatitudinal equatorward migration of strong toroidal field, poleward migration of polar surface radial fields, and the quadrature phase shift between both. Long-term variability of the solutions exhibits lenghty periods of minimum activity followed by posterior recovery, akin to the observed Maunder Minimum. Based on the analysis of the residual activity during periods of minimum activity, we suggest that these are caused by a predominance of the α-effect over the Babcock-Leighton mechanism in regenerating the poloidal field.

The solvability of coupling the thermal effect and magnetohydrodynamics field with turbulent convection zone and the flow field

“…The α term represents the turbulent magnetic helicity. In order to deal with the feedback of the magnetic field on fluid motions (the Lorentz force), we employ a so-called α-effect or α-quench [5] by the form…”