The Anisotropy of Electron MHD Turbulence

Abstract

We present numerical studies of 3-dimensional electron magnetohydrodynamic (EMHD) turbulence. We investigate cascade timescale and anisotropy of freely decaying strong EMHD turbulence with zero electron skin depth. Cascade time scales with $k^{-4/3}$. Our numerical results clearly show scale-dependent anisotropy. We discuss that the observed anisotropy is consistent with $k_{\|} \propto k_{\perp}^{1/3}$, where $k_{\|}$ and $k_{\perp}$ are wave numbers parallel and perpendicular to (local) mean magnetic field, respectively.