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APS -59th Annual Meeting of the APS Division of Plasma Physics - Event - Plasmoid Instability in Forming Current Sheets

机译:APS -59血浆物理学APS划分年会 - 事件 - 紫外线稳定性在形成现有床单

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The plasmoid instability has had a transformative effect in our understanding of magnetic reconnection in a multitude of systems. By preventing the formation of highly elongated reconnection layers, it has proven to be crucial in enabling the rapid energy conversion rates that are characteristic of many plasma phenomena. In the well-known Sweet-Parker current sheets, the growth of the plasmoid instability occurs at a rate that is proportional to the Lundquist number (S) raised to a positive exponent. For this reason, in large-S systems, Sweet-Parker current sheets cannot be attained as current layers are linearly unstable and undergo disruption before the Sweet-Parker state is attained. Here, we present a quantitative theory of the plasmoid instability in time-evolving current sheets based on a principle of least time [1]. We obtain analytical expressions for the growth rate, number of plasmoids, plasmoid width, current sheet aspect ratio and onset time for fast reconnection. They are shown to depend on the Lundquist number, the magnetic Prandtl number, the noise of the system, the characteristic rate of current sheet evolution, as well as the thinning process [1,2]. We validate the obtained analytical scaling relations by comparing them against the full numerical solutions of the principle of least time. Furthermore, we show that the plasmoid instability exhibits a quiescence period followed by a rapid growth over a short timescale [1,2,3].[1] L. Comisso, M. Lingam, Y.-M. Huang, A. Bhattacharjee, Phys. Plasmas 23, 100702 (2016).[2] L. Comisso, M. Lingam, Y.-M. Huang, A. Bhattacharjee, ArXiv e-prints (2017), arXiv:1707.01862 [3] Y.-M. Huang, L. Comisso, A. Bhattacharjee, ArXiv e-prints (2017), arXiv:1707.01863
机译:纤维醇不稳定性在我们对众多系统中的磁重新连接的理解中具有变革性效果。通过防止形成高度细长的重新连接层,已经证明是为了实现许多血浆现象的特征的能量转换率至关重要。在众所周知的甜帕克当前纸张中,差异不稳定性的生长以与升高到正指数的ledquist数量成比例的速率发生。因此,在大型系统中,由于当前层在达到甜帕克状态之前,当前层不能达到甜帕克当前纸张作为线性不稳定并且经历中断。这里,我们基于至少时间的原理提出了时间演化的当前纸张中的差质不稳定的定量理论[1]。我们获得分析表达式的生长速率,紫离浆数量,差异宽度,电流纸张纵横比和快速重新连接的起始时间。它们被证明取决于leundquist号码,磁性prandtl编号,系统的噪声,当前纸张演化的特征率,以及细化过程[1,2]。通过将它们与最少时间原则的完整数字解决方案进行比较,我们通过比较来验证获得的分析缩放关系。此外,我们表明,差异不稳定表现出静态时期,然后在短时间内快速增长[1,2,3]。[1] L. Comisso,M. Lingam,Y.-M。黄,A.Bhattacharjee,Phy。 Plasmas 23,100702(2016)。[2] L. Comisso,M. Lingam,Y.-M。 Huang,A.Bhattacharjee,Arxiv E-Prints(2017),Arxiv:1707.01862 [3] Y.-M。 Huang,L.Comisso,A.Bhattacharjee,Arxiv E-Prints(2017),Arxiv:1707.01863

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