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arXiv 1802.07162physics.plasm-phastro-ph.SRphysics.space-ph
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低Lundquist数下Sweet-Parker型电流片的边缘稳定性

Marginal Stability of Sweet-Parker Type Current Sheets at Low Lundquist Numbers

Chen Shi, Marco Velli, Anna Tenerani

摘要:

磁流体动力学模拟表明,一个非唯一的临界伦德奎斯特数$S_c$存在,徘徊在$S_c \sim 10^4$,超过阈值Sweet-Parker型静态重连配置变得不稳定的快速撕裂模式为主的等离子体团生成。人们知道,沿表的流动起着稳定的作用,虽然一个令人满意的解释的非普适性和可变的临界伦德奎斯特数观察仍然缺乏。在这里,我们讨论了这个问题,使用二维线性MHD模拟和线性稳定性分析的Sweet-Parker型电流片在存在背景的固定流入和流出在低伦德奎斯特数($S\le 10^4$)。模拟结果表明,不均匀的流出稳定的电流片通过拉伸不断增长的磁岛,并在同一时间疏散的磁岛的电流片。这限制了在任何给定波长处开始的波动可以保持不稳定的时间,使得不稳定性为非指数的。我们发现,基于扩展波长假设的线性理论适用于大于$\sim 1000$的$S$。然而我们还发现,来流和初始扰动位置也会影响稳定阈值。

英文摘要:

Magnetohydrodynamic simulations have shown that a non-unique critical Lundquist number $S_c$ exists, hovering around $S_c \sim 10^4$, above which threshold Sweet-Parker type stationary reconnecting configurations become unstable to a fast tearing mode dominated by plasmoid generation. It is known that the flow along the sheet plays a stabilizing role, though a satisfactory explanation of the non-universality and variable critical Lundquist numbers observed is still lacking. Here we discuss this question using 2D linear MHD simulations and linear stability analyses of Sweet-Parker type current sheets in the presence of background stationary inflows and outflows at low Lundquist numbers ($S\le 10^4$). Simulations show that the inhomogeneous outflow stabilizes the current sheet by stretching the growing magnetic islands and at the same time evacuating the magnetic islands out of the current sheet. This limits the time during which fluctuations which begin at any given wave-length can remain unstable, rendering the instability non-exponential. We find that the linear theory based on the expanding-wavelength assumption works well for $S$ larger than $\sim 1000$. However we also find that the inflow and location of the initial perturbation also affect the stability threshold.

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