Statistical anisotropy of magnetohydrodynamic turbulence

Abstract

Direct numerical simulations of decaying and forced magnetohydrodynamic (MHD) turbulence without and with mean magnetic field are analyzed by higher-order two-point statistics. The turbulence exhibits statistical anisotropy with respect to the direction of the local magnetic field even in the case of global isotropy. A mean magnetic field reduces the parallel-field dynamics while in the perpendicular direction a gradual transition towards two-dimensional MHD turbulence is observed with $k^{-3/2}$ inertial-range scaling of the perpendicular energy spectrum. An intermittency model based on the Log-Poisson approach, ${\zeta }_p=p/g^2+1-(1/g{)}^{p/g}$, is able to describe the observed structure function scalings.

4 pages, 3 figures. To appear in Phys.Rev.E