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Paper: Hale's Polarity Law for Fast Rotating Stars from the Viewpoint of Dynamo Theory
Volume: 154, Cool Stars, Stellar Systems and the Sun: Tenth Cambridge Workshop
Page: 1286
Authors: Kuzanyan, Kirill M.
Abstract: In this paper we consider a kinematic alpha-Omega dynamo model of the magnetic field generation in a thin stellar convection shell with nonuniform helicity towards the limit of large dynamo numbers. The asymptotic solution of the dynamo problem has a form of a travelling wave. The analysis of the solution reveals properties of solar and stellar dynamo waves. As the intensity of the sources of magnetic field generation (the dynamo number) increases the spatial scale of the wave obtained becomes shorter. As the hydromagnetic helicity and the differential rotation often increase with the rotation rate of a star, hence for fast rotating stars many maxima of the dynamo wave can occur at a given time. Therefore, one can expect more than one magnetic activity belt for fast rotating solar-type stars. In such a limit, Hale's polarity law is not expected to hold.
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