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arXiv 1605.00520physics.plasm-ph
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湍流等离子体团重联

Turbulent Plasmoid Reconnection

Fabien Widmer, Jörg Büchner, Nobumitsu Yokoi

摘要:

等离子体团不稳定性可能导致通过长电流片(CS)的快速磁重联。众所周知,大雷诺数的等离子体容易成为湍流。我们解决的问题是否湍流增强的等离子体团不稳定电流片的能量转换率。我们进行适当的数值MHD模拟,但同时解决相关的大尺度(平均)场和相应的小尺度,湍流,数量通过直接数值模拟(DNS)是不可能的。因此,我们利用亚网格尺度(SGS)湍流模型研究了小尺度湍流对大尺度MHD过程的影响。我们验证了我们的SGS模型的适用性,然后用它来研究湍流对等离子体团不稳定性的影响。我们开始与哈里斯型和无力CS平衡在垂直于重联平面的方向上的一个有限的引导场的存在下的模拟。我们使用DNS的结果来研究等离子体团不稳定性的增长。能量和交叉螺旋度由于湍流获得的平均场的高斯滤波公式从雷诺平均湍流模型。研究了湍流对等离子体团不稳定性重联率的影响。为了验证SGS模型的预测,电动势(${\bf\cal{E}}$)计算通过过滤获得的粗数据,并与SGS模型进行比较。相对于引导场方向的对称性破坏导致湍流螺旋度,这减小了表观湍流电阻率的影响。引导场等离子体团重联的重联率降低归因于与湍流相关的不同物理效应之间的平衡。

英文摘要:

The plasmoid instability may lead to fast magnetic reconnection through long current sheets(CS). It is well known that large-Reynolds-number plasmas easily become turbulent. We address the question whether turbulence enhances the energy conversion rate of plasmoid-unstable current sheets. We carry out appropriate numerical MHD simulations, but resolving simultaneously the relevant large-scale (mean-) fields and the corresponding small-scale, turbulent, quantities by means of direct numerical simulations (DNS) is not possible. Hence we investigate the influence of small scale turbulence on large scale MHD processes by utilizing a subgrid-scale (SGS) turbulence model. We verify the applicability of our SGS model and then use it to investigate the influence of turbulence on the plasmoid instability. We start the simulations with Harris-type and force-free CS equilibria in the presence of a finite guide field in the direction perpendicular to the reconnection plane. We use the DNS results to investigate the growth of the plasmoid instability. The energy and cross-helicity due to turbulence are obtained in terms of the mean fields by a Gaussian filtering formulation from a Reynolds averaging turbulence model. The influence of turbulence on the reconnection rate of the plasmoid instability is investigated. To verify the predictions of the SGS-model, the electromotive force (${\bf\cal{E}}$) is calculated for the coarse data obtained by filtering and compared to the SGS-model. The symmetry breakage with respect to the guide field direction causes a turbulent helicity which reduces the influence of the apparent turbulent resistivity. The reduced reconnection rate of guide field plasmoid reconnection is attributed to a balancing between the different physical effects related to turbulence.

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