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

Yi Min Huang; A. Bhattacharjee; Ellen G. Zweibel

doi:10.1063/1.3398486

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

Yi Min Huang, A. Bhattacharjee, Ellen G. Zweibel

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

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 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.

Original language	English (US)
Article number	055707
Journal	Physics of Plasmas
Volume	17
Issue number	5
DOIs	https://doi.org/10.1063/1.3398486
State	Published - May 2010
Externally published	Yes

All Science Journal Classification (ASJC) codes

Condensed Matter Physics

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10.1063/1.3398486

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title = "Effects of line-tying on magnetohydrodynamic instabilities and current sheet formation",

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 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.",

author = "Huang, {Yi Min} and A. Bhattacharjee and Zweibel, {Ellen G.}",

note = "Funding Information: This research is supported by the National Science Foundation, Grant No. PHY-0215581 (PFC: Center for Magnetic Self-Organization in Laboratory and Astrophysical Plasmas) and the Department of Energy, Grant No. DE-FG02-07ER46372, under the auspice of the Center for Integrated Computation and Analysis of Reconnection and Turbulence (CICART).",

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AU - Huang, Yi Min

AU - Bhattacharjee, A.

AU - Zweibel, Ellen G.

N1 - Funding Information: This research is supported by the National Science Foundation, Grant No. PHY-0215581 (PFC: Center for Magnetic Self-Organization in Laboratory and Astrophysical Plasmas) and the Department of Energy, Grant No. DE-FG02-07ER46372, under the auspice of the Center for Integrated Computation and Analysis of Reconnection and Turbulence (CICART).

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N2 - 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.

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

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