Fast and furious dynamo action in the anisotropic dynamo

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.

Automated summary

In the limit of large magnetic Reynolds numbers, a smooth differential rotation can result in fast dynamo action if the electrical conductivity or magnetic permeability is anisotropic. In the case of infinite shear, such as between two rotating solid bodies, the anisotropic dynamo becomes furious, with the magnetic growth rate increasing towards infinity with an increasing magnetic Reynolds number.