Theory of Two Dimensional Mean Field Electron Magnetohydrodynamics
Abstract
The theory of mean field electrodynamics for diffusive processes in Electron Magnetohydrodynamic (EMHD) model is presented. In contrast to Magnetohydrodynamics (MHD) the evolution of magnetic field here is governed by a nonlinear equation in the magnetic field variables. A detailed description of diffusive processes in two dimensions are presented in this paper. In particular, it has been shown analytically that the turbulent magnetic field diffusivity is suppressed from naive quasilinear estimates. It is shown that for complete whisterlization of the spectrum, the turbulent diffusivity vanishes. The question of whistlerization of the turbulent spectrum is investigated numerically, and a reasonable tendency towards whisterlization is observed. Numerical studies also show the suppression of magnetic field diffusivity in accordance with the analytical estimates.
Keywords
Cite
@article{arxiv.physics/9906014,
title = {Theory of Two Dimensional Mean Field Electron Magnetohydrodynamics},
author = {Amita Das and P. H. Diamond},
journal= {arXiv preprint arXiv:physics/9906014},
year = {2009}
}
Comments
18 pages, 6 figures