Effects of line-tying on magnetohydrodynamic instabilities and current sheet formation

Yi-Min Huang; Bhattacharjee, A.; Zweibel, Ellen G.
May 2010
Physics of Plasmas;May2010, Vol. 17 Issue 5, p055707
Academic Journal
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 and Janse [Astrophys. J. 696, 821 (2009)] is presented, and the governing equations for quasistatic 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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