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- W2144495426 abstract "The Sweet-Parker layer in a system that exceeds a critical value of the Lundquist number ($S$) is unstable to the plasmoid instability. In this paper, a numerical scaling study has been done with an island coalescing system driven by a low level of random noise. In the early stage, a primary Sweet-Parker layer forms between the two coalescing islands. The primary Sweet-Parker layer breaks into multiple plasmoids and even thinner current sheets through multiple levels of cascading if the Lundquist number is greater than a critical value $S_{c}simeq4times10^{4}$. As a result of the plasmoid instability, the system realizes a fast nonlinear reconnection rate that is nearly independent of $S$, and is only weakly dependent on the level of noise. The number of plasmoids in the linear regime is found to scales as $S^{3/8}$, as predicted by an earlier asymptotic analysis (Loureiro emph{et al.}, Phys. Plasmas textbf{14}, 100703 (2007)). In the nonlinear regime, the number of plasmoids follows a steeper scaling, and is proportional to $S$. The thickness and length of current sheets are found to scale as $S^{-1}$, and the local current densities of current sheets scale as $S^{-1}$. Heuristic arguments are given in support of theses scaling relations." @default.
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- W2144495426 date "2010-06-01" @default.
- W2144495426 modified "2023-09-29" @default.
- W2144495426 title "Scaling laws of resistive magnetohydrodynamic reconnection in the high-Lundquist-number, plasmoid-unstable regime" @default.
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- W2144495426 doi "https://doi.org/10.1063/1.3420208" @default.
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