Theory of Two Dimensional Mean Field Electron Magnetohydrodynamics

Details Theory of Two Dimensional Mean Field Electron Magnetohydrodynamics Theory of Two Dimensional Mean Field Electron Magnetohydrodynamics

1999-06-07

arxiv.org/abs/physics/9906014v1

Physics

Plasma Physics

18 pages, 6 figures

Scientific paper

10.1063/1.873792

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.

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