Spectrum Properties of Hall MHD Turbulence

Abstract

Hall effects on small-scale turbulence are studied by means of direct numerical simulations (DNS) of both, the incompressible single-fluid equations and the incompressible Hall magnetohydrodynamics (MHD) equations. It is shown that the energy spectrum of the velocity and magnetic fields coincide with our earlier results of shell model simulations. A direct comparison between the numerical results of incompressible Hall MHD turbulence and those of incompressible single-fluid MHD turbulence reveals that the Hall term excites the small scales in the magnetic field by strengthening energy transfer from/to the scales comparable to the ion skin depth.