Calculations in the theory of tearing instability

Boldyrev, Stanislav; Loureiro, Nuno F.

doi:10.7910/DVN/MOCDDK

Title: Calculations in the theory of tearing instability

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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

Authors:

Boldyrev, Stanislav; Loureiro, Nuno F.

OSTI

Publication Date:: Thu Nov 01 00:00:00 EDT 2018

DOE Contract Number:: SC0016215

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center

Sponsoring Org.:: USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

OSTI Identifier:: 1880263

DOI:: https://doi.org/10.7910/DVN/MOCDDK

Citation Formats


                    Boldyrev, Stanislav, and Loureiro, Nuno F. Calculations in the theory of tearing instability.  United States: N. p., 2018. 
        Web.  doi:10.7910/DVN/MOCDDK.

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                    Boldyrev, Stanislav, & Loureiro, Nuno F. Calculations in the theory of tearing instability.  United States.  doi:https://doi.org/10.7910/DVN/MOCDDK

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                    Boldyrev, Stanislav, and Loureiro, Nuno F. 2018.  
"Calculations in the theory of tearing instability".  United States.  doi:https://doi.org/10.7910/DVN/MOCDDK.  https://www.osti.gov/servlets/purl/1880263. Pub date:Thu Nov 01 00:00:00 EDT 2018

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@article{osti_1880263,

  title        = {Calculations in the theory of tearing instability},

  author       = {Boldyrev, Stanislav and Loureiro, Nuno F.},

  abstractNote = {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},

  doi          = {10.7910/DVN/MOCDDK},

  journal      = {},

  number       = ,

  volume       = ,

  place        = {United States},

  year         = {Thu Nov 01 00:00:00 EDT 2018},

  month        = {Thu Nov 01 00:00:00 EDT 2018}

}

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DOI: https://doi.org/10.7910/DVN/MOCDDK

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