Fast and Furious dynamo action in the anisotropic dynamo

Abstract

In the limit of large magnetic Reynolds numbers, it is shown that a smooth differential rotation can lead to fast dynamo action, provided that the electrical conductivity or magnetic permeability is anisotropic. If the shear is infinite, for example between two rotating solid bodies, the anisotropic dynamo becomes furious, meaning that the magnetic growth rate increases toward infinity with an increasing magnetic Reynolds number.

19 pages, 8 figures, 1 table

References in corpus (4)

• Axisymmetric dynamo action is possible with anisotropic conductivity
• Dynamo action in sliding plates of anisotropic electrical conductivity
• Axisymmetric dynamo action produced by differential rotation, with anisotropic electrical conductivity and anisotropic magnetic permeability
• Enhanced dynamo growth in nonhomogeneous conducting fluids