Two-Dimensional Electron Magnetohydrodynamic Turbulence

Abstract

A novel type of turbulence, which arises in 2D electron magnetohydrodynamics, is studied by numerical simulation. Energy dissipation rates are found to be independent of the dissipation coefficients. The energy spectrum $E_k$ follows the basic Kolmogorov-type predictions, $k^{-5/3\mathrm{}}$ for ${\mathrm{kd}}_e>1\mathrm{}$ and $k^{-7/3\mathrm{}}$ for ${\mathrm{kd}}_e<1\mathrm{}$ ( $d_e$ is the electron inertial length) and is hence independent of the linear wave properties. Results are compared with other 2D turbulent systems.