The nonlinear solar dynamo and differential rotation - A Taylor number puzzle?

Physics

Scientific paper

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Dynamo Theory, Helioseismology, Solar Magnetic Field, Solar Rotation, Magnetic Field Configurations, Nonlinear Equations, Planetary Waves, Spherical Shells

Scientific paper

Dynamically consistent mean-field dynamos are considered in a spherical shell of incompressible fluid. The generation of magnetic field and differential rotation is parameterized by the alpha- and Lambda-effects, respectively. Extending previous investigations, the cases of moderate and rapid rotation are now included in the sense that the inverse Rossby number can approach or exceed unity. This can lead to disk-shaped Omega-contours, which are in better accordance with recent results of helioseismology than cylindrical Omega-contours. On the other hand, in order to obtain alpha-omega-dynamo cycles, the Taylor number has to be so large, that eventually cylindrical Omega-contours become unavoidable. The discussion covers the different possibilities in a state diagram, where the inverse Rossby number and the relative correlation length are taken as the elementary parameters for mean-field dynamos.

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