Dynamo effect caused by non-stationary turbulence in strongly magnetized, hot, low-density plasma

Abstract

Context. The large-scale hydromagnetic dynamo mechanism is often assumed to rely on the existence of a resistive phase shift between the kinetic and magnetic components of waves. It is not clear how this mechanism could effectively operate in hot, low-density plasma, where the electrical resistivity is extremely low. Aims. We show that non-stationarity, a common factor in plasma turbulence (e.g., in the interstellar medium caused by random supernova explosions), allows inducing a strong large-scale electromotive force (EMF) by the plasma flow and significantly enhances the dynamo effect. Methods. We adopted the simplest approximation in which plasma evolution is modelled with a set of incompressible magnetohydrodynamic equations with a random, Gaussian, and non-stationary forcing to explicitly demonstrate the role of non-stationarity in the large-scale dynamo process. The EMF was calculated analytically in the limit of large magnetic Prandtl numbers (low magnetic diffusion in comparison with plasma viscosity) and strong magnetic fields for the non-stationary turbulence and the standard diffusive mechanism. Results. We show that the EMF induced by the effects of non-stationarity can typically be expected to dominate the dynamo mechanism (over the diffusive phase shift generation) by several orders of magnitude. This is confirmed by the explicit calculation in two example cases for the interstellar medium in the Milky Way galaxy and hot accretion disks such as those of active galactic nuclei.