Longitudinal and transversal structure functions in two-dimensional electron magnetohydrodynamic flows

Abstract

Electron magnetohydrodynamic flows have recently attracted considerable interest not only in the field of collisionless reconnection, but also as the first two-dimensional turbulent system showing Kolmogorov-type scaling for the energy spectrum. In this paper, longitudinal and transversal structure functions are calculated for varying Reynolds numbers. The simulations show that the differences between longitudinal and transversal structure functions are finite size effects for this type of flow and vanish in the limit of high Reynolds numbers. In addition, the scaling of structure functions for velocity and current density could be described by assuming a log-Poisson statistics with two atoms, as recently proposed for passive scalar advection.