The anisotropy of electron magnetohydrodynamic turbulence

We present numerical studies of three-dimensional electron magnetohydrodynamic (EMHD) turbulence. We investigate the cascade timescale and anisotropy of freely decaying, strong EMHD turbulence with zero electron skin depth. The cascade time scales with k(-4/3). Our numerical results clearly show scale-dependent anisotropy. We find that the observed anisotropy is consistent with k(parallel to) proportional to k(perpendicular to)(1/3), where k(parallel to) and k(perpendicular to) are wavenumbers parallel and perpendicular to (local) mean magnetic field, respectively.