标题： 二维平均场电子磁流体动力学理论 显示英文标题

标题： Theory of Two Dimensional Mean Field Electron Magnetohydrodynamics

摘要： 平均场电磁流体动力学（EMHD）模型中扩散过程的理论被提出。与磁流体动力学（MHD）不同，这里的磁场演化由磁场变量的非线性方程控制。本文详细描述了二维情况下的扩散过程。特别是，已经通过分析表明，湍流磁场扩散率从简单的准线性估计中被抑制。结果显示，为了完全的哨声波化，湍流扩散率消失。对湍流谱的哨声波化问题进行了数值研究，并观察到了向哨声波化的合理趋势。数值研究也显示了与分析估计一致的磁场扩散率的抑制。 显示英文摘要

摘要： 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.