Stationary solution for quasi-homogeneous small-scale magnetic field advected by non-Gaussian turbulent flow

Abstract

We consider fluctuations of a magnetic field excited by an external force and advected by isotropic turbulent flow. It appears that non-Gaussian velocity gradient statistics and a finite region of pumping force provide the existence of a stationary solution. The mean-square magnetic field is calculated for arbitrary velocity gradient statistics. An estimate for possible feedback of the magnetic field on velocity shows that, for a wide range of parameters, stationarity without feedback would take place even in the case of intensive pumping of the magnetic field.