skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Plasmoid instability in high-Lundquist-number magnetic reconnection

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.4802941· OSTI ID:1565005
 [1];  [2]
  1. Univ. of New Hampshire, Durham, NH (United States)
  2. Univ. of New Hampshire, Durham, NH (United States); Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

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.

Research Organization:
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 Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
FG02-07ER46372
OSTI ID:
1565005
Journal Information:
Physics of Plasmas, Vol. 20, Issue 5; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 60 works
Citation information provided by
Web of Science

References (75)

Magnetic Reconnection in Astrophysical and Laboratory Plasmas journal September 2009
Magnetic reconnection journal March 2010
The production of high energy particles in solar flares journal September 1958
Sweet's mechanism for merging magnetic fields in conducting fluids journal December 1957
Geospace Environmental Modeling (GEM) Magnetic Reconnection Challenge journal March 2001
The role of plasma instabilities in the origin of solar flares journal August 1963
Multiple X line reconnection: 1. A criterion for the transition from a single X line to a multiple X line reconnection journal January 1986
Magnetic reconnection via current sheets journal January 1986
Fast magnetic reconnection with small shock angles journal January 1992
Plasmoid-induced-reconnection and fractal reconnection journal June 2001
Self-Feeding Turbulent Magnetic Reconnection on Macroscopic Scales journal June 2008
X‐Ray Plasma Ejection Associated with an Impulsive Flare on 1992 October 5: Physical Conditions of X‐Ray Plasma Ejection journal June 1998
Dynamical and Physical Properties of a Post–Coronal Mass Ejection Current Sheet journal September 2003
Downflow Motions Associated with Impulsive Nonthermal Emissions Observed in the 2002 July 23 Solar Flare journal March 2004
Determination of Low‐Energy Cutoffs and Total Energy of Nonthermal Electrons in a Solar Flare on 2002 April 15 journal June 2005
Plasmoids in reconnecting current sheets: Solar and terrestrial contexts compared: PLASMOIDS IN RECONNECTING CURRENT SHEETS journal November 2008
Multiple Plasmoid Ejections and Associated hard X-Ray Bursts in the 2000 November 24 Flare journal February 2010
Evidence of an extended electron current sheet and its neighboring magnetic island during magnetotail reconnection: EXTENDED ELECTRON CURRENT SHEET DURING RECONNECTION journal December 2008
Observation of energetic electrons within magnetic islands journal November 2007
A Reconnecting Current Sheet Imaged in a Solar Flare journal October 2010
Spontaneous Current-Layer Fragmentation and Cascading Reconnection in Solar Flares. ii. Relation to Observations journal March 2011
Instability of current sheets and formation of plasmoid chains journal October 2007
Fast reconnection in high-Lundquist-number plasmas due to the plasmoid Instability journal November 2009
Turbulent magnetic reconnection in two dimensions journal October 2009
Scaling of Sweet–Parker reconnection with secondary islands journal December 2009
Scaling laws of resistive magnetohydrodynamic reconnection in the high-Lundquist-number, plasmoid-unstable regime journal June 2010
Fast Magnetic Reconnection in the Plasmoid-Dominated Regime journal December 2010
Transition from collisional to kinetic regimes in large-scale reconnection layers journal August 2009
Comparison of Secondary Islands in Collisional Reconnection to Hall Reconnection journal July 2010
Onset of fast reconnection in Hall magnetohydrodynamics mediated by the plasmoid instability journal July 2011
Catastrophe Model for Fast Magnetic Reconnection Onset journal November 2005
Formation of Plasmoid Chains in Magnetic Reconnection journal September 2009
Linear plasmoid instability of thin current sheets with shear flow journal May 2010
Magnetic reconnection and stochastic plasmoid chains in high-Lundquist-number plasmas journal April 2012
Effects of plasma β on the plasmoid instability journal July 2012
Nonlinear growth of the tearing mode journal January 1973
A statistical model of magnetic islands in a current layer journal January 2010
Comparison of a statistical model for magnetic islands in large current layers with Hall MHD simulations and Cluster FTE observations: MAGNETIC ISLANDS journal September 2011
Electron acceleration from contracting magnetic islands during reconnection journal October 2006
Distribution of Plasmoids in High-Lundquist-Number Magnetic Reconnection journal December 2012
On the onset of the plasmoid instability journal September 2012
Coalescence of magnetic islands, sloshing, and the pressure problem journal March 2006
Flux Pileup in Collisionless Magnetic Reconnection: Bursty Interaction of Large Flux Ropes journal July 2011
Nonlinear studies of m =1 modes in high‐temperature plasmas journal November 1992
Fast impulsive reconnection and current sheet intensification due to electron pressure gradients in semi-collisional plasmas journal June 1996
Whistler-mediated magnetic reconnection in large systems: Magnetic flux pileup and the formation of thin current sheets journal January 2003
Impulsive Magnetic Reconnection in the Earth's Magnetotail and the Solar Corona journal September 2004
Catastrophic onset of fast magnetic reconnection with a guide field journal May 2007
Phase diagram for magnetic reconnection in heliophysical, astrophysical, and laboratory plasmas journal November 2011
Emerging Parameter Space Map of Magnetic Reconnection in Collisional and Kinetic Regimes journal March 2011
A saddle-node bifurcation model of magnetic reconnection onset journal June 2010
On the question of hysteresis in Hall magnetohydrodynamic reconnection journal November 2010
Hall magnetohydrodynamic reconnection in the plasmoid unstable regime journal September 2011
Role of electron physics in the development of turbulent magnetic reconnection in collisionless plasmas journal April 2011
Reduced magnetohydrodynamic theory of oblique plasmoid instabilities journal February 2012
Reconnection in a Weakly Stochastic Field journal June 1999
Numerical Tests of fast Reconnection in Weakly Stochastic Magnetic Fields journal June 2009
Fast Magnetic Reconnection and Spontaneous Stochasticity journal November 2011
Relation of astrophysical turbulence and magnetic reconnection journal January 2012
The Fast Collisionless Reconnection Condition and the Self‐Organization of Solar Coronal Heating journal December 2007
Self-Regulation of Solar Coronal Heating Process via the Collisionless Reconnection Condition journal December 2007
From Solar and Stellar Flares to Coronal Heating: Theory and Observations of How Magnetic Reconnection Regulates Coronal Conditions journal March 2008
Magnetic Reconnection for Coronal Conditions: Reconnection Rates, Secondary Islands and Onset journal February 2011
On line tying journal January 1981
Photospheric line-tying conditions for the MHD stability of coronal magnetic fields journal June 1986
Instabilities in the solar corona journal April 1992
Spontaneous reconnection of line-tied flux tubes journal May 1994
The effect of line-tying on tearing modes journal March 2008
Effects of line tying on resistive tearing instability in slab geometry journal April 2009
A new method for analyzing line-tied kink modes in cylindrical geometry journal July 2006
m=1 ideal internal kink modes in a line-tied screw pinch journal September 2006
Effects of line-tying on magnetohydrodynamic instabilities and current sheet formation journal May 2010
Spontaneous Current-Layer Fragmentation and Cascading Reconnection in Solar Flares. i. Model and Analysis journal July 2011
Numerical Experiments on fine Structure Within Reconnecting Current Sheets in Solar Flares journal July 2011
Numerical experiments on magnetic reconnection in solar flare and coronal mass ejection current sheets: Experiments on magnetic reconnection journal September 2012

Cited By (19)

MMS Examination of FTEs at the Earth's Subsolar Magnetopause journal February 2018
MMS Multi‐Point Analysis of FTE Evolution: Physical Characteristics and Dynamics journal July 2019
Plasmoid-mediated reconnection in solar UV bursts journal July 2019
Non-linear tearing of 3D null point current sheets journal August 2014
On the role of system size in Hall MHD magnetic reconnection journal February 2018
A maximum entropy principle for inferring the distribution of 3D plasmoids journal January 2018
Influence of 3D plasmoid dynamics on the transition from collisional to kinetic reconnection journal July 2019
Fast sawtooth reconnection at realistic Lundquist numbers journal November 2014
Magnetic reconnection: from the Sweet–Parker model to stochastic plasmoid chains journal November 2015
MHD simulations of three-dimensional resistive reconnection in a cylindrical plasma column journal July 2016
Plasmoid statistics in relativistic magnetic reconnection journal January 2018
Gamma-Ray Bursts Induced by Turbulent Reconnection journal September 2019
Dynamic Evolution of Current Sheets, Ideal Tearing, Plasmoid Formation and Generalized Fractal Reconnection Scaling Relations journal August 2019
Relativistic Plasmoid Instability in Pair Plasmas journal September 2019
Three-Dimensional Simulations of Tearing and Intermittency in Coronal Jets text January 2016
MHD simulations of three-dimensional Resistive Reconnection in a cylindrical plasma column text January 2016
A Maximum Entropy Principle for inferring the Distribution of 3D Plasmoids text January 2017
Plasmoid statistics in relativistic magnetic reconnection text January 2017
Dynamic evolution of current sheets, ideal tearing, plasmoid formation and generalized fractal reconnection scaling relations text January 2019

Figures / Tables (6)


Similar Records

Plasmoid instability in high-Lundquist-number magnetic reconnection
Journal Article · Wed May 15 00:00:00 EDT 2013 · Physics of Plasmas · OSTI ID:1565005

TURBULENT MAGNETOHYDRODYNAMIC RECONNECTION MEDIATED BY THE PLASMOID INSTABILITY
Journal Article · Wed Feb 10 00:00:00 EST 2016 · Astrophysical Journal · OSTI ID:1565005

Turbulent Mangetohydrodynamic Reconnection Mediated by the Plasmoid Instability
Journal Article · Wed Feb 03 00:00:00 EST 2016 · The Astrophysical Journal (Online) · OSTI ID:1565005