Axisymmetric dynamo action produced by differential rotation, with anisotropic electrical conductivity and anisotropic magnetic permeability

The effect on dynamo action of an anisotropic electrical conductivity conjugated to magnetic permeability is considered. Not only the fully axisymmetric, but it requires a simple differential rotation, which twice challenges well-established theory. Stability analysis conducted entirely analytically, leading explicit expression threshold. results show competition between anisotropy and that permeability, becoming impossible if two anisotropies are identical. For isotropic conductivity, Cowling's neutral point argument does imply absence azimuthal component current density, not prevent as long anisotropic.