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Title: Turbulent Mangetohydrodynamic Reconnection Mediated by the Plasmoid Instability

Abstract

It has been established that the Sweet–Parker current layer in high Lundquist number reconnection is unstable to the super-Alfvénic plasmoid instability. Past two-dimensional magnetohydrodynamic simulations have demonstrated that the plasmoid instability leads to a new regime where the Sweet–Parker current layer changes into a chain of plasmoids connected by secondary current sheets, and the averaged reconnection rate becomes nearly independent of the Lundquist number. In this work, a three-dimensional simulation with a guide field shows that the additional degree of freedom allows plasmoid instabilities to grow at oblique angles, which interact and lead to self-generated turbulent reconnection. The averaged reconnection rate in the self-generated turbulent state is of the order of a hundredth of the characteristic Alfvén speed, which is similar to the two-dimensional result but is an order of magnitude lower than the fastest reconnection rate reported in recent studies of externally driven three-dimensional turbulent reconnection. Kinematic and magnetic energy fluctuations both form elongated eddies along the direction of the local magnetic field, which is a signature of anisotropic magnetohydrodynamic turbulence. Both energy fluctuations satisfy power-law spectra in the inertial range, where the magnetic energy spectral index is in the range from -2.3 to -2.1, while the kinetic energymore » spectral index is slightly steeper, in the range from -2.5 to -2.3. Finally, the anisotropy of turbulence eddies is found to be nearly scale-independent, in contrast with the prediction of the Goldreich–Sridhar theory for anisotropic turbulence in a homogeneous plasma permeated by a uniform magnetic field.« less

Authors:
 [1];  [1]
  1. Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences, and Princeton Plasma Physics Lab.; Princeton Center for Heliophysics, NJ (United States); Max-Panck Princeton Center for Plasma Physics (MPPC), NJ (United States); Center for Magnetic Self-Organization in Laboratory and Astrophysical Plasmas (CMSO), Madison, WI (United States)
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1565531
Resource Type:
Accepted Manuscript
Journal Name:
The Astrophysical Journal (Online)
Additional Journal Information:
Journal Name: The Astrophysical Journal (Online); Journal Volume: 818; Journal Issue: 1; Journal ID: ISSN 1538-4357
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; astronomy & astrophysics; magnetic fields; magnetic reconnection; magnetohydrodynamics (MHD); plasmas; Sun: corona; turbulence

Citation Formats

Huang, Yi-Min, and Bhattacharjee, A. Turbulent Mangetohydrodynamic Reconnection Mediated by the Plasmoid Instability. United States: N. p., 2016. Web. doi:10.3847/0004-637X/818/1/20.
Huang, Yi-Min, & Bhattacharjee, A. Turbulent Mangetohydrodynamic Reconnection Mediated by the Plasmoid Instability. United States. https://doi.org/10.3847/0004-637X/818/1/20
Huang, Yi-Min, and Bhattacharjee, A. Wed . "Turbulent Mangetohydrodynamic Reconnection Mediated by the Plasmoid Instability". United States. https://doi.org/10.3847/0004-637X/818/1/20. https://www.osti.gov/servlets/purl/1565531.
@article{osti_1565531,
title = {Turbulent Mangetohydrodynamic Reconnection Mediated by the Plasmoid Instability},
author = {Huang, Yi-Min and Bhattacharjee, A.},
abstractNote = {It has been established that the Sweet–Parker current layer in high Lundquist number reconnection is unstable to the super-Alfvénic plasmoid instability. Past two-dimensional magnetohydrodynamic simulations have demonstrated that the plasmoid instability leads to a new regime where the Sweet–Parker current layer changes into a chain of plasmoids connected by secondary current sheets, and the averaged reconnection rate becomes nearly independent of the Lundquist number. In this work, a three-dimensional simulation with a guide field shows that the additional degree of freedom allows plasmoid instabilities to grow at oblique angles, which interact and lead to self-generated turbulent reconnection. The averaged reconnection rate in the self-generated turbulent state is of the order of a hundredth of the characteristic Alfvén speed, which is similar to the two-dimensional result but is an order of magnitude lower than the fastest reconnection rate reported in recent studies of externally driven three-dimensional turbulent reconnection. Kinematic and magnetic energy fluctuations both form elongated eddies along the direction of the local magnetic field, which is a signature of anisotropic magnetohydrodynamic turbulence. Both energy fluctuations satisfy power-law spectra in the inertial range, where the magnetic energy spectral index is in the range from -2.3 to -2.1, while the kinetic energy spectral index is slightly steeper, in the range from -2.5 to -2.3. Finally, the anisotropy of turbulence eddies is found to be nearly scale-independent, in contrast with the prediction of the Goldreich–Sridhar theory for anisotropic turbulence in a homogeneous plasma permeated by a uniform magnetic field.},
doi = {10.3847/0004-637X/818/1/20},
journal = {The Astrophysical Journal (Online)},
number = 1,
volume = 818,
place = {United States},
year = {Wed Feb 03 00:00:00 EST 2016},
month = {Wed Feb 03 00:00:00 EST 2016}
}

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