Anisotropic turbulence in two-dimensional electron magnetohydrodynamics

Spectral anisotropy within decaying incompressible electron magnetohydrodynamics turbulence is investigated by two-dimensional fluid simulations. An initially isotropic turbulent spectrum exhibits anisotropy in the spectral cascade because of the presence of a self-consistent large-scale or an externally imposed magnetic field. Our simulations show that the anisotropy scales linearly with the strength of the ambient magnetic field. The linear scaling of the anisotropic spectral cascades appears to be rather generic as turbulent excitation scales larger than kd(e)<1 as well as those smaller than kd(e)>1, the collisionless electron inertial or skin depth length scale (d(e)), follow a similar trend.