Enhanced propagation rate of magnetic field in plasmas due to the Hall effect: Analytic solutions in electron MHD

The mechanism of the enhanced propagation rate, as compared with ordinary diffusion, of the magnetic field in plasmas, due to the Hall effect in plasmas, is analyzed in the frame of the Electron MHD, under conditions of arbitrary inhomogeneity of plasma density and homogeneous temperature. The analytic results are obtained for the magnetic field front and its effective width.