Squire J, Bhattacharjee A
Max Planck/Princeton Center for Plasma Physics, Department of Astrophysical Sciences and Princeton Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543, USA.
TAPIR, Mailcode 350-17, California Institute of Technology, Pasadena, California 91125, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Nov;92(5):053101. doi: 10.1103/PhysRevE.92.053101. Epub 2015 Nov 2.
This article presents a calculation of the mean electromotive force arising from general small-scale magnetohydrodynamical turbulence, within the framework of the second-order correlation approximation. With the goal of improving understanding of the accretion disk dynamo, effects arising through small-scale magnetic fluctuations, velocity gradients, density and turbulence stratification, and rotation, are included. The primary result, which supplements numerical findings, is that an off-diagonal turbulent resistivity due to magnetic fluctuations can produce large-scale dynamo action-the magnetic analog of the "shear-current" effect. In addition, consideration of α effects in the stratified regions of disks gives the puzzling result that there is no strong prediction for a sign of α, since the effects due to kinetic and magnetic fluctuations, as well as those due to shear and rotation, are each of opposing signs and tend to cancel each other.
本文在二阶关联近似框架内,给出了由一般小尺度磁流体动力学湍流产生的平均电动势的计算结果。为了增进对吸积盘发电机的理解,文中考虑了小尺度磁涨落、速度梯度、密度和湍流分层以及旋转所产生的影响。补充数值计算结果的主要结论是,由磁涨落引起的非对角湍流电阻率能够产生大规模的发电机效应——即“剪切电流”效应的磁类似物。此外,对盘分层区域中的α效应的考虑得出了一个令人困惑的结果,即对于α的符号没有强有力的预测,因为由动能和磁涨落引起的效应,以及由剪切和旋转引起的效应,各自具有相反的符号并且倾向于相互抵消。