Effects of Line-tying on Magnetohydrodynamic Instabilities and Current Sheet Formation
Plasma Physics
2011-04-07 v1 Solar and Stellar Astrophysics
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 \AA. 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.
Keywords
Cite
@article{arxiv.1003.5927,
title = {Effects of Line-tying on Magnetohydrodynamic Instabilities and Current Sheet Formation},
author = {Yi-Min Huang and A. Bhattacharjee and Ellen G. Zweibel},
journal= {arXiv preprint arXiv:1003.5927},
year = {2011}
}
Comments
To appear in Phys. Plasmas