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∥ ∝ k, where k∥ and k⊥ are wavenumbers parallel and perpendicular to (local) mean magnetic field, respectively.

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