Plasmoid instability in high-Lundquist-number magnetic reconnection
Abstract
Our understanding of magnetic reconnection in resistive magnetohydrodynamics has gone through a fundamental change in recent years. The conventional wisdom is that magnetic reconnection mediated by resistivity is slow in laminar high Lundquist (S) plasmas, constrained by the scaling of the reconnection rate predicted by Sweet-Parker theory. However, recent studies have shown that when S exceeds a critical value ~104, the Sweet-Parker current sheet is unstable to a super-Alfvénic plasmoid instability, with a linear growth rate that scales as S1/4. In the fully developed statistical steady state of two-dimensional resistive magnetohydrodynamic simulations, the normalized average reconnection rate is approximately 0.01, nearly independent of S, and the distribution function f(ψ) of plasmoid magnetic flux ψ follows a power law f(ψ)~ψ-1. When Hall effects are included, the plasmoid instability may trigger onset of Hall reconnection even when the conventional criterion for onset is not satisfied. The rich variety of possible reconnection dynamics is organized in the framework of a phase diagram.
- Authors:
-
- Univ. of New Hampshire, Durham, NH (United States)
- Univ. of New Hampshire, Durham, NH (United States); Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- Publication Date:
- Research Org.:
- Univ. of New Hampshire, Durham, NH (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1565005
- Grant/Contract Number:
- FG02-07ER46372
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 20; Journal Issue: 5; Journal ID: ISSN 1070-664X
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Physics
Citation Formats
Huang, Yi-Min, and Bhattacharjee, A. Plasmoid instability in high-Lundquist-number magnetic reconnection. United States: N. p., 2013.
Web. doi:10.1063/1.4802941.
Huang, Yi-Min, & Bhattacharjee, A. Plasmoid instability in high-Lundquist-number magnetic reconnection. United States. https://doi.org/10.1063/1.4802941
Huang, Yi-Min, and Bhattacharjee, A. Mon .
"Plasmoid instability in high-Lundquist-number magnetic reconnection". United States. https://doi.org/10.1063/1.4802941. https://www.osti.gov/servlets/purl/1565005.
@article{osti_1565005,
title = {Plasmoid instability in high-Lundquist-number magnetic reconnection},
author = {Huang, Yi-Min and Bhattacharjee, A.},
abstractNote = {Our understanding of magnetic reconnection in resistive magnetohydrodynamics has gone through a fundamental change in recent years. The conventional wisdom is that magnetic reconnection mediated by resistivity is slow in laminar high Lundquist (S) plasmas, constrained by the scaling of the reconnection rate predicted by Sweet-Parker theory. However, recent studies have shown that when S exceeds a critical value ~104, the Sweet-Parker current sheet is unstable to a super-Alfvénic plasmoid instability, with a linear growth rate that scales as S1/4. In the fully developed statistical steady state of two-dimensional resistive magnetohydrodynamic simulations, the normalized average reconnection rate is approximately 0.01, nearly independent of S, and the distribution function f(ψ) of plasmoid magnetic flux ψ follows a power law f(ψ)~ψ-1. When Hall effects are included, the plasmoid instability may trigger onset of Hall reconnection even when the conventional criterion for onset is not satisfied. The rich variety of possible reconnection dynamics is organized in the framework of a phase diagram.},
doi = {10.1063/1.4802941},
journal = {Physics of Plasmas},
number = 5,
volume = 20,
place = {United States},
year = {Mon Apr 29 00:00:00 EDT 2013},
month = {Mon Apr 29 00:00:00 EDT 2013}
}
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Figures / Tables:
FIG. 1: Out-of-plane current density at different times shows fractal-like cascade to smaller scales via the plasmoid instability. First, the SweetParker current sheet breaks up to form a chain of plasmoids connected by secondary current sheets (top panel). Secondary current sheets are SweetParker like, become unstable again, and generate themore »
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