Alpha tensor and dynamo excitation in turbulent fluids with anisotropic conductivity fluctuations

A mean-field theory of the electrodynamics a turbulent fluid is formulated under assumption that molecular electric conductivity correlated with velocity fluctuation in (radial) direction, $\mathbf{g}$. It shown for such homogeneous fluids strong turbulence-induced field advection anti-parallel to $\mathbf{g}$ arises almost independently rotation. For rotating fluids, an extra $\alpha$ effect appears known symmetries and expected maximum at poles. Fast rotation, however, Coriolis number exceeding unity suppresses this term. Numerical simulations forced turbulence using NIRVANA code demonstrate radial velocity, $\gamma$, always dominates We show finally simplified models $\alpha^2$ dynamos are strongly influenced by pumping: $\gamma<\alpha$ solutions become oscillatory, while $\gamma>\alpha$ they highly exotic if exist all. In conclusion, dynamo slow fast solid-body rotation on basis finite conductivity-velocity correlations unlikely work, least $\alpha^2\Omega$ without shear.