Self-consistent theory of mean-field electrodynamics.
Self-consistent theory of mean-field electrodynamics.
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平均场电动力学自洽理论。
DOI：
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发表时间：
1994
影响因子：
8.6
通讯作者：
P. Diamond
中科院分区：
文献类型：
--
作者：
A. Gruzinov;P. Diamond
平均场电动力学，包括α和β效应，同时考虑小尺度磁场的影响，是针对不可压缩磁流体动力学推导的。主要结果为 α=(α[sub 0]+β[sub 0][bold R][center dot][del][times][bold R])/(1+[ital R][sup 2])，β=β[sub 0]；其中 α[sub 0],β[sub 0] 是传统的运动学发电机参数，折减因子与平均磁场成正比 [bold R]=[ital R][sub [ital m]][sup 1/2][bold B]/([rho][ital V][sup 2])[sup 1/2]，[ital R][sub [ital m]] 是磁雷诺数，并且[ital V] 是特征湍流速度。这一结果是利用磁螺旋平衡将泽尔多维奇定理推广到三个维度得出的。
Mean-field electrodynamics, including both [alpha] and [beta] effects while accounting for the effects of small-scale magnetic fields, is derived for incompressible magnetohydrodynamics. The principal result is [alpha]=([alpha][sub 0]+[beta][sub 0][bold R][center dot][del][times][bold R])/(1+[ital R][sup 2]), [beta]=[beta][sub 0]; where [alpha][sub 0],[beta][sub 0] are conventional kinematic dynamo parameters, the reduction factor is proportional to the mean magnetic field [bold R]=[ital R][sub [ital m]][sup 1/2][bold B]/([rho][ital V][sup 2])[sup 1/2], [ital R][sub [ital m]] is the magnetic Reynolds number, and [ital V] is the characteristic turbulent velocity. This result follows from a generalization of the Zeldovich theorem to three dimensions, exploiting magnetic helicity balance.