The Maunder minimum as due to magnetic Lambda -quenching

Astronomy and Astrophysics – Astrophysics

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Magnetohydrodynamics (Mhd), Turbulence, Sun: Activity, Sun: Rotation, Stars: Late-Type, Stars: Magnetic Fields

Scientific paper

We study the nonlinear interplay between dynamo-induced magnetic fields and differential rotation in stellar convection zones. The magnetic back reaction is threefold: Lorentz force, alpha -quenching and Lambda -quenching. If only the Malkus-Proctor feedback is used, the dynamo shows an interesting non-periodic behavior which, however, disappears when alpha quenching is included (cf. Fig. 2). If also a strong \L-quenching is allowed to modify the differential rotation, the dynamo resumes its exotic performance with periodically changing cycle periods and fluctuating magnetic parities. The Elsasser number has been set to unity whereas the magnetic Prandtl number must be smaller than unity. For too small magnetic Prandtl numbers (e.g. for Pm=0.01), however, the grand minima seldom occur.

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