An analytic interface dynamo over a shear layer of finite depth

作者：Petrovay K^*; Kerekes A; Erdelyi R

来源：Geophysical and Astrophysical Fluid Dynamics, 2010, 104(5-6): 619-630.

DOI：10.1080/03091929.2010.508455

• MHD
• Dynamo
• Sun: Interior
• Sun: Magnetic fields

Parker's analytic Cartesian interface dynamo is generalized to the case of a shear layer of finite thickness and low resistivity (otachoclineo), bounded by a perfect conductor (oradiative zoneo) on the one side, and by a highly diffusive medium (oconvective zoneo) supporting an -effect on the other side. In the limit of high diffusivity contrast between the shear layer and the diffusive medium, thought to be relevant for the Sun, a pair of exact dispersion relations for the growth rate and frequency of dynamo modes is analytically derived. Graphic solution of the dispersion relations displays a somewhat unexpected, non-monotonic behavior, the mathematical origin of which is elucidated. The dependence of the results on the parameter values (dynamo number and shear layer thickness) is investigated. The implications of this result for the solar dynamo problem are discussed.

• 出版日期2010
• 单位清华大学