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arXiv · 1003.5927

Effects of Line-tying on Magnetohydrodynamic Instabilities and Current Sheet Formation

Yi-Min Huang·A. Bhattacharjee·Ellen G. Zweibel
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Abstract

An overview of some recent progress on magnetohydrodynamic stability and current sheet formation in a line-tied system is given. Key results on the linear stability of the ideal internal kink mode and resistive tearing mode are summarized. For nonlinear problems, a counterexample to the recent demonstration of current sheet formation by Low \emph{et al}. [B. C. Low and Å. M. Janse, Astrophys. J. \textbf{696}, 821 (2009)] is presented, and the governing equations for quasi-static evolution of a boundary driven, line-tied magnetic field are derived. Some open questions and possible strategies to resolve them are discussed.

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Yi-Min Huang, A. Bhattacharjee, Ellen G. Zweibel. 2010-03-30. Effects of Line-tying on Magnetohydrodynamic Instabilities and Current Sheet Formation. https://doi.org/10.1063/1.3398486

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