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P – ω Dynamo in Spherical Geometry
Authors:Jing Hairong  Tong Yi  Tian Lirong  Yang Zhiliang
Institution:(1) Department of Astronomy, Beijing Normal University, Beijing, 100875, China;(2) Beijing Planetarium, Beijing, 100044, China;(3) Beijing Astronomical Observatory, National Astronomical Observatories, Chinese Academy of Sciences, Beijing, 100012, China
Abstract:Based on the fundamental P – ω dynamo equation, using spherical polar coordinates, we carry out a study of turbulent plasma wave dynamo effect. For various rotation laws, different analytical solutions are derived. In the cases of no rotation and rigid rotation, the dynamo generates poloidal field only, while with differential rotation, regardless the differential rotation is radial or latitudinal, poloidal and toroidal fields are all generated. We may think that the solutions are the analytical forms of the magnetic field in a turbulent source region of celestial bodies. This revised version was published online in July 2006 with corrections to the Cover Date.
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