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Title: Magnetohydrodynamic Turbulence in the Plasmoid-mediated Regime

Abstract

Magnetohydrodynamic turbulence and magnetic reconnection are ubiquitous in astrophysical environments. In most situations these processes do not occur in isolation but interact with each other. This renders a comprehensive theory of these processes highly challenging. Here we propose a theory of magnetohydrodynamic turbulence driven at a large scale that self-consistently accounts for the mutual interplay with magnetic reconnection occurring at smaller scales. Magnetic reconnection produces plasmoids (flux ropes) that grow from turbulence-generated noise and eventually disrupt the sheet-like structures in which they are born. The disruption of these structures leads to a modification of the turbulent energy cascade, which in turn exerts a feedback effect on the plasmoid formation via the turbulence-generated noise. The energy spectrum in this plasmoid-mediated range steepens relative to the standard inertial range and does not follow a simple power law. As a result of the complex interplay between turbulence and reconnection, we also find that the length scale that marks the beginning of the plasmoid-mediated range and the dissipation length scale do not obey true power laws. The transitional magnetic Reynolds number above which the plasmoid formation becomes statistically significant enough to affect the turbulent cascade is fairly modest, implying that plasmoids are expected tomore » modify the turbulent path to dissipation in many astrophysical systems« less

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [2];  [3];  [1]
  1. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Princeton Univ., NJ (United States)
  2. Harvard Univ., Cambridge, MA (United States); Harvard-Smithsonian Center for Astrophysics, Cambridge, MA (United States)
  3. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Publication Date:
Research Org.:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1425071
Grant/Contract Number:  
AC02-09-CH11466
Resource Type:
Accepted Manuscript
Journal Name:
The Astrophysical Journal (Online)
Additional Journal Information:
Journal Name: The Astrophysical Journal (Online); Journal Volume: 854; Journal Issue: 2; Journal ID: ISSN 1538-4357
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Comisso, L., Huang, Y. -M., Lingam, M., Hirvijoki, E., and Bhattacharjee, A. Magnetohydrodynamic Turbulence in the Plasmoid-mediated Regime. United States: N. p., 2018. Web. doi:10.3847/1538-4357/aaac83.
Comisso, L., Huang, Y. -M., Lingam, M., Hirvijoki, E., & Bhattacharjee, A. Magnetohydrodynamic Turbulence in the Plasmoid-mediated Regime. United States. https://doi.org/10.3847/1538-4357/aaac83
Comisso, L., Huang, Y. -M., Lingam, M., Hirvijoki, E., and Bhattacharjee, A. Fri . "Magnetohydrodynamic Turbulence in the Plasmoid-mediated Regime". United States. https://doi.org/10.3847/1538-4357/aaac83. https://www.osti.gov/servlets/purl/1425071.
@article{osti_1425071,
title = {Magnetohydrodynamic Turbulence in the Plasmoid-mediated Regime},
author = {Comisso, L. and Huang, Y. -M. and Lingam, M. and Hirvijoki, E. and Bhattacharjee, A.},
abstractNote = {Magnetohydrodynamic turbulence and magnetic reconnection are ubiquitous in astrophysical environments. In most situations these processes do not occur in isolation but interact with each other. This renders a comprehensive theory of these processes highly challenging. Here we propose a theory of magnetohydrodynamic turbulence driven at a large scale that self-consistently accounts for the mutual interplay with magnetic reconnection occurring at smaller scales. Magnetic reconnection produces plasmoids (flux ropes) that grow from turbulence-generated noise and eventually disrupt the sheet-like structures in which they are born. The disruption of these structures leads to a modification of the turbulent energy cascade, which in turn exerts a feedback effect on the plasmoid formation via the turbulence-generated noise. The energy spectrum in this plasmoid-mediated range steepens relative to the standard inertial range and does not follow a simple power law. As a result of the complex interplay between turbulence and reconnection, we also find that the length scale that marks the beginning of the plasmoid-mediated range and the dissipation length scale do not obey true power laws. The transitional magnetic Reynolds number above which the plasmoid formation becomes statistically significant enough to affect the turbulent cascade is fairly modest, implying that plasmoids are expected to modify the turbulent path to dissipation in many astrophysical systems},
doi = {10.3847/1538-4357/aaac83},
journal = {The Astrophysical Journal (Online)},
number = 2,
volume = 854,
place = {United States},
year = {Fri Feb 16 00:00:00 EST 2018},
month = {Fri Feb 16 00:00:00 EST 2018}
}

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Cited by: 38 works
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Figures / Tables:

Figure 1 Figure 1: Schematic diagram of the energy cascade in MHD turbulence at very large Rm. Labels are used to indicate the (a) energy-containing range, (b) inertial range, (c) plasmoidmediated range, and (d) dissipation range. In the plasmoidmediated range, the slope of the energy spectrum E(k) follows Eq. (19).

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Works referenced in this record:

Electron density power spectrum in the local interstellar medium
journal, April 1995

  • Armstrong, J. W.; Rickett, B. J.; Spangler, S. R.
  • The Astrophysical Journal, Vol. 443
  • DOI: 10.1086/175515

Instability, turbulence, and enhanced transport in accretion disks
journal, January 1998


Magnetohydrodynamic Turbulence
book, August 2009


Spectrum of Magnetohydrodynamic Turbulence
journal, March 2006


Magnetohydrodynamic Turbulence Mediated by Reconnection
journal, July 2017


Astrophysical magnetic fields and nonlinear dynamo theory
journal, October 2005


Intermittency and Alignment in Strong rmhd Turbulence
journal, June 2015

  • Chandran, B. D. G.; Schekochihin, A. A.; Mallet, A.
  • The Astrophysical Journal, Vol. 807, Issue 1
  • DOI: 10.1088/0004-637X/807/1/39

Visco-resistive plasmoid instability
journal, March 2016

  • Comisso, Luca; Grasso, Daniela
  • Physics of Plasmas, Vol. 23, Issue 3
  • DOI: 10.1063/1.4942940

General theory of the plasmoid instability
journal, October 2016

  • Comisso, L.; Lingam, M.; Huang, Y. -M.
  • Physics of Plasmas, Vol. 23, Issue 10
  • DOI: 10.1063/1.4964481

Plasmoid Instability in Forming Current Sheets
journal, November 2017


Self‐consistent Coronal Heating and Solar Wind Acceleration from Anisotropic Magnetohydrodynamic Turbulence
journal, August 2007

  • Cranmer, Steven R.; van Ballegooijen, Adriaan A.; Edgar, Richard J.
  • The Astrophysical Journal Supplement Series, Vol. 171, Issue 2
  • DOI: 10.1086/518001

Finite-Resistivity Instabilities of a Sheet Pinch
journal, January 1963

  • Furth, Harold P.; Killeen, John; Rosenbluth, Marshall N.
  • Physics of Fluids, Vol. 6, Issue 4
  • DOI: 10.1063/1.1706761

Toward a theory of interstellar turbulence. 2: Strong alfvenic turbulence
journal, January 1995

  • Goldreich, P.; Sridhar, S.
  • The Astrophysical Journal, Vol. 438
  • DOI: 10.1086/175121

Kinetic Simulations of Magnetized Turbulence in Astrophysical Plasmas
journal, February 2008


Turbulent Magnetohydrodynamic Reconnection Mediated by the Plasmoid Instability
journal, February 2016


Plasmoid Instability in Evolving Current Sheets and Onset of Fast Reconnection
journal, November 2017

  • Huang, Yi-Min; Comisso, Luca; Bhattacharjee, A.
  • The Astrophysical Journal, Vol. 849, Issue 2
  • DOI: 10.3847/1538-4357/aa906d

Inertial-Range Spectrum of Hydromagnetic Turbulence
journal, January 1965


Compressible Magnetohydrodynamic Turbulence in Interstellar Plasmas
journal, November 2001

  • Lithwick, Yoram; Goldreich, Peter
  • The Astrophysical Journal, Vol. 562, Issue 1
  • DOI: 10.1086/323470

Role of Magnetic Reconnection in Magnetohydrodynamic Turbulence
journal, June 2017


Energy dynamics and current sheet structure in fluid and kinetic simulations of decaying magnetohydrodynamic turbulence
journal, April 2015

  • Makwana, K. D.; Zhdankin, V.; Li, H.
  • Physics of Plasmas, Vol. 22, Issue 4
  • DOI: 10.1063/1.4916492

A statistical model of three-dimensional anisotropy and intermittency in strong Alfvénic turbulence
journal, December 2016

  • Mallet, A.; Schekochihin, A. A.
  • Monthly Notices of the Royal Astronomical Society, Vol. 466, Issue 4
  • DOI: 10.1093/mnras/stw3251

Disruption of sheet-like structures in Alfvénic turbulence by magnetic reconnection
journal, March 2017

  • Mallet, A.; Schekochihin, A. A.; Chandran, B. D. G.
  • Monthly Notices of the Royal Astronomical Society, Vol. 468, Issue 4
  • DOI: 10.1093/mnras/stx670

Turbulent magnetic reconnection
journal, January 1986

  • Matthaeus, W. H.; Lamkin, S. L.
  • Physics of Fluids, Vol. 29, Issue 8
  • DOI: 10.1063/1.866004

Coronal Heating by Magnetohydrodynamic Turbulence Driven by Reflected Low-Frequency Waves
journal, September 1999

  • Matthaeus, W. H.; Zank, G. P.; Oughton, S.
  • The Astrophysical Journal, Vol. 523, Issue 1
  • DOI: 10.1086/312259

Inertial ranges and resistive instabilities in two‐dimensional magnetohydrodynamic turbulence
journal, December 1989

  • Politano, H.; Pouquet, A.; Sulem, P. L.
  • Physics of Fluids B: Plasma Physics, Vol. 1, Issue 12
  • DOI: 10.1063/1.859051

Current and vorticity dynamics in three‐dimensional magnetohydrodynamic turbulence
journal, August 1995

  • Politano, H.; Pouquet, A.; Sulem, P. L.
  • Physics of Plasmas, Vol. 2, Issue 8
  • DOI: 10.1063/1.871473

Magnetic Reconnection in Two-Dimensional Magnetohydrodynamic Turbulence
journal, March 2009


Evolving turbulence and magnetic fields in galaxy clusters
journal, March 2006


Current sheets and nonlinear growth of the m =1 kink‐tearing mode
journal, December 1989

  • Waelbroeck, F. L.
  • Physics of Fluids B: Plasma Physics, Vol. 1, Issue 12
  • DOI: 10.1063/1.859172

Generation of X-points and secondary islands in 2D magnetohydrodynamic turbulence
journal, April 2013

  • Wan, Minping; Matthaeus, William H.; Servidio, Sergio
  • Physics of Plasmas, Vol. 20, Issue 4
  • DOI: 10.1063/1.4802985

Statistical Analysis of Current Sheets in Three-Dimensional Magnetohydrodynamic Turbulence
journal, June 2013

  • Zhdankin, Vladimir; Uzdensky, Dmitri A.; Perez, Jean C.
  • The Astrophysical Journal, Vol. 771, Issue 2
  • DOI: 10.1088/0004-637X/771/2/124

Variational integration for ideal magnetohydrodynamics with built-in advection equations
journal, October 2014

  • Zhou, Yao; Qin, Hong; Burby, J. W.
  • Physics of Plasmas, Vol. 21, Issue 10
  • DOI: 10.1063/1.4897372

Magnetic fields in galaxies and beyond
journal, January 1997

  • Zweibel, Ellen G.; Heiles, Carl
  • Nature, Vol. 385, Issue 6612
  • DOI: 10.1038/385131a0

Magnetohydrodynamic Turbulence
journal, August 2003


Meridional flows in the disk around a young star
journal, October 2019


Instability, Turbulence, and Enhanced Transport in Accretion Disks
journal, January 1997


General Theory of the Plasmoid Instability
text, January 2016


Plasmoid Instability in Evolving Current Sheets and Onset of Fast Reconnection
text, January 2017


Astrophysical magnetic fields and nonlinear dynamo theory
text, January 2004


Evolving turbulence and magnetic fields in galaxy clusters
text, January 2005


Self-consistent Coronal Heating and Solar Wind Acceleration from Anisotropic Magnetohydrodynamic Turbulence
text, January 2007


Works referencing / citing this record:

Forced magnetic reconnection and plasmoid coalescence: I. Magnetohydrodynamic simulations
journal, February 2019


Scalings pertaining to current sheet disruption mediated by the plasmoid instability
journal, September 2019

  • Huang, Yi-Min; Comisso, Luca; Bhattacharjee, Amitava
  • Physics of Plasmas, Vol. 26, Issue 9
  • DOI: 10.1063/1.5110332

3D turbulent reconnection: Theory, tests, and astrophysical implications
journal, January 2020

  • Lazarian, Alex; Eyink, Gregory L.; Jafari, Amir
  • Physics of Plasmas, Vol. 27, Issue 1
  • DOI: 10.1063/1.5110603

The role of electron heating physics in images and variability of the Galactic Centre black hole Sagittarius A*
journal, June 2018

  • Chael, Andrew; Rowan, Michael; Narayan, Ramesh
  • Monthly Notices of the Royal Astronomical Society, Vol. 478, Issue 4
  • DOI: 10.1093/mnras/sty1261

Stochastic Reconnection for Large Magnetic Prandtl Numbers
journal, June 2018

  • Jafari, Amir; Vishniac, Ethan T.; Kowal, Grzegorz
  • The Astrophysical Journal, Vol. 860, Issue 1
  • DOI: 10.3847/1538-4357/aac517

Large-scale Compression Acceleration during Magnetic Reconnection in a Low- β Plasma
journal, October 2018


The Interplay of Magnetically Dominated Turbulence and Magnetic Reconnection in Producing Nonthermal Particles
journal, November 2019


Role of the Plasmoid Instability in Magnetohydrodynamic Turbulence
text, January 2018


Scalings Pertaining to Current Sheet Disruption Mediated by the Plasmoid Instability
text, January 2019


3D Turbulent Reconnection: Theory, Tests and Astrophysical Implications
text, January 2020


3D turbulent reconnection: Theory, tests, and astrophysical implications
journal, January 2020

  • Lazarian, Alex; Eyink, Gregory L.; Jafari, Amir
  • Physics of Plasmas, Vol. 27, Issue 1
  • DOI: 10.1063/1.5110603

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