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arXiv 1801.08412physics.plasm-phastro-ph.SRphysics.space-ph
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薄电流片中快速“理想”撕裂的起始:对平衡电流剖面的依赖

Onset of fast "ideal" tearing in thin current sheets: dependence on the equilibrium current profile

Fulvia Pucci, Marco Velli, Anna Tenerani, Daniele Del Sarto

摘要:

在本文中,我们研究的标度关系的触发的快速,或“理想”,撕裂不稳定性从平衡配置相关的天体物理以及实验室等离子体不同于简单的哈里斯电流片配置。我们提出了线性撕裂不稳定性分析的平衡磁场,其中a)去到零的边界的域和b)包含一个双电流片系统(后者以前研究作为一个carnival代理的m=1扭结模式在圆柱形等离子体)。更一般地说,我们讨论的临界纵横比缩放的增长率成为独立的Lundquist数$S$,在不稳定模式的波数$k$的$Δ'$参数的依赖性。在小$k$的缩放$Δ'(k)$与$k$被发现广泛地分类不同的平衡:临界纵横比可能甚至小于$L/a \sim S^α$与$α=1/3$最初发现的哈里斯电流片,但存在一个一般的下限$α\ge1/4$。

英文摘要:

In this paper we study the scaling relations for the triggering of the fast, or "ideal", tearing instability starting from equilibrium configurations relevant to astrophysical as well as laboratory plasmas that differ from the simple Harris current sheet configuration. We present the linear tearing instability analysis for equilibrium magnetic fields which a) go to zero at the boundary of the domain and b) contain a double current sheet system (the latter previously studied as a cartesian proxy for the m=1 kink mode in cylindrical plasmas). More generally, we discuss the critical aspect ratio scalings at which the growth rates become independent of the Lundquist number $S$, in terms of the dependence of the $Δ'$ parameter on the wavenumber $k$ of unstable modes. The scaling $Δ'(k)$ with $k$ at small $k$ is found to categorize different equilibria broadly: the critical aspect ratios may be even smaller than $L/a \sim S^α$ with $α=1/3$ originally found for the Harris current sheet, but there exists a general lower bound $α\ge1/4$.

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