Calculations in the theory of tearing instability
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Boldyrev_2018_J._Phys.__Conf._Ser._1100_012003.pdf
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Published version
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807.67 KB
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Author(s) •
Boldyrev, Stanislav
Gomes Loureiro, Nuno F
Date Issued
2018
Journal
Journal of Physics: Conference Series
Publisher
IOP Publishing
Citation
Boldyrev, Stanislav, and Nuno F. Loureiro, "Calculations in the Theory of Tearing Instability." Journal of Physics: Conference Series 1100 (2018): 012003. ©2018 Author(s)
Version
Final published version
Abstract
Recent studies have suggested that the tearing instability may play a significant role in magnetic turbulence. In this work we review the theory of the magnetohydrodynamic tearing instability in the general case of an arbitrary tearing parameter, which is relevant for applications in turbulence. We discuss a detailed derivation of the results for the standard Harris profile and accompany it by the derivation of the results for a lesser known sine-shaped profile. We devote special attention to the exact solution of the inner equation, which is the central result in the theory of tearing instability. We also briefly discuss the influence of shear flows on tearing instability in magnetic structures. Our presentation is self-contained; we expect it to be accessible to researchers in plasma turbulence who are not experts in magnetic reconnection.
MIT Department
Massachusetts Institute of Technology. Plasma Science and Fusion Center
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Creative Commons Attribution 3.0 unported license
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DOI of Published Version
https://doi.org/10.1088/1742-6596/1100/1/012003