DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Tearing Instability in Alfvén and Kinetic-Alfvén Turbulence

Abstract

Abstract Recently, it has been realized that magnetic plasma turbulence and magnetic field reconnection are inherently related phenomena. Turbulent fluctuations generate regions of sheared magnetic field that become unstable to the tearing instability and reconnection, thus modifying turbulence at the corresponding scales. In this contribution, we give a brief review of some recent results on tearing‐mediated magnetic turbulence. We illustrate the main ideas of this rapidly developing field of study by concentrating on two important examples—magnetohydrodynamic Alfvén turbulence and small‐scale kinetic‐Alfvén turbulence. Due to various potential applications of these phenomena in space physics and astrophysics, we specifically try not to overload the text by heavy analytical derivations but rather present a qualitative discussion accessible to a non‐expert in the theories of turbulence and reconnection.

Authors:
ORCiD logo [1]; ORCiD logo [2]
  1. University of Wisconsin‐Madison, WI (United States). Department of Physics; Center for Space Plasma Physics Space Science Institute, Boulder, CO (United States).
  2. Plasma Science and Fusion Center Massachusetts Institute of Technology, MA (United States)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Univ. of Wisconsin, Madison, WI (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1802862
Alternate Identifier(s):
OSTI ID: 1664572
Grant/Contract Number:  
SC0016215; SC0018266; DE‐SC0018266; DE‐SC0016215
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Geophysical Research. Space Physics
Additional Journal Information:
Journal Volume: 125; Journal Issue: 9; Journal ID: ISSN 2169-9380
Publisher:
American Geophysical Union
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Astronomy & Astrophysics

Citation Formats

Boldyrev, Stanislav, and Loureiro, Nuno F. Tearing Instability in Alfvén and Kinetic-Alfvén Turbulence. United States: N. p., 2020. Web. doi:10.1029/2020ja028185.
Boldyrev, Stanislav, & Loureiro, Nuno F. Tearing Instability in Alfvén and Kinetic-Alfvén Turbulence. United States. https://doi.org/10.1029/2020ja028185
Boldyrev, Stanislav, and Loureiro, Nuno F. Thu . "Tearing Instability in Alfvén and Kinetic-Alfvén Turbulence". United States. https://doi.org/10.1029/2020ja028185. https://www.osti.gov/servlets/purl/1802862.
@article{osti_1802862,
title = {Tearing Instability in Alfvén and Kinetic-Alfvén Turbulence},
author = {Boldyrev, Stanislav and Loureiro, Nuno F.},
abstractNote = {Abstract Recently, it has been realized that magnetic plasma turbulence and magnetic field reconnection are inherently related phenomena. Turbulent fluctuations generate regions of sheared magnetic field that become unstable to the tearing instability and reconnection, thus modifying turbulence at the corresponding scales. In this contribution, we give a brief review of some recent results on tearing‐mediated magnetic turbulence. We illustrate the main ideas of this rapidly developing field of study by concentrating on two important examples—magnetohydrodynamic Alfvén turbulence and small‐scale kinetic‐Alfvén turbulence. Due to various potential applications of these phenomena in space physics and astrophysics, we specifically try not to overload the text by heavy analytical derivations but rather present a qualitative discussion accessible to a non‐expert in the theories of turbulence and reconnection.},
doi = {10.1029/2020ja028185},
journal = {Journal of Geophysical Research. Space Physics},
number = 9,
volume = 125,
place = {United States},
year = {Thu Aug 20 00:00:00 EDT 2020},
month = {Thu Aug 20 00:00:00 EDT 2020}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Scaling Properties of Small-Scale Fluctuations in Magnetohydrodynamic Turbulence
journal, September 2014


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

Protons and alpha particles in the expanding solar wind: Hybrid simulations: SOLAR WIND IONS
journal, September 2013

  • Hellinger, Petr; Trávníček, Pavel M.
  • Journal of Geophysical Research: Space Physics, Vol. 118, Issue 9
  • DOI: 10.1002/jgra.50540

Coherent structure formation and magnetic field line reconnection in magnetohydrodynamic turbulence
journal, August 1990

  • Carbone, V.; Veltri, P.; Mangeney, A.
  • Physics of Fluids A: Fluid Dynamics, Vol. 2, Issue 8
  • DOI: 10.1063/1.857598

Nonlinear evolution of resistive tearing mode instability with shear flow and viscosity
journal, February 1993

  • Ofman, L.; Morrison, P. J.; Steinolfson, R. S.
  • Physics of Fluids B: Plasma Physics, Vol. 5, Issue 2
  • DOI: 10.1063/1.860523

Magnetohydrodynamic Turbulence Revisited
journal, August 1997

  • Goldreich, P.; Sridhar, S.
  • The Astrophysical Journal, Vol. 485, Issue 2
  • DOI: 10.1086/304442

Electron-Ion Temperature Equilibration in Collisionless Shocks: The Supernova Remnant-Solar Wind Connection
journal, July 2013

  • Ghavamian, Parviz; Schwartz, Steven J.; Mitchell, Jeremy
  • Space Science Reviews, Vol. 178, Issue 2-4
  • DOI: 10.1007/s11214-013-9999-0

A Review of Alfvénic Turbulence in High-Speed Solar Wind Streams: Hints From Cometary Plasma Turbulence
journal, April 2018

  • Tsurutani, Bruce T.; Lakhina, Gurbax S.; Sen, Abhijit
  • Journal of Geophysical Research: Space Physics, Vol. 123, Issue 4
  • DOI: 10.1002/2017JA024203

Collisionless Reconnection in Magnetohydrodynamic and Kinetic Turbulence
journal, December 2017


Residual Energy Spectrum of Solar wind Turbulence
journal, June 2013


Role of the Plasmoid Instability in Magnetohydrodynamic Turbulence
journal, October 2018


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

Spectral Energy Dynamics in Magnetohydrodynamic Turbulence
journal, September 2005


Incorporating Kinetic Physics into a Two-Fluid Solar-Wind Model with Temperature Anisotropy and Low-Frequency AlfvÉN-Wave Turbulence
journal, December 2011

  • Chandran, Benjamin D. G.; Dennis, Timothy J.; Quataert, Eliot
  • The Astrophysical Journal, Vol. 743, Issue 2
  • DOI: 10.1088/0004-637X/743/2/197

Simulations of nonhelical hydromagnetic turbulence
journal, July 2004


Instability of current sheets and formation of plasmoid chains
journal, October 2007

  • Loureiro, N. F.; Schekochihin, A. A.; Cowley, S. C.
  • Physics of Plasmas, Vol. 14, Issue 10
  • DOI: 10.1063/1.2783986

Magnetic Reconnection May Control the Ion-scale Spectral Break of Solar Wind Turbulence
journal, March 2018

  • Vech, Daniel; Mallet, Alfred; Klein, Kristopher G.
  • The Astrophysical Journal, Vol. 855, Issue 2
  • DOI: 10.3847/2041-8213/aab351

Extended spectral scaling laws for shear-Alfvén wave turbulence
journal, November 2006

  • Galtier, S.; Chandran, B. D. G.
  • Physics of Plasmas, Vol. 13, Issue 11
  • DOI: 10.1063/1.2399466

A model of turbulence in magnetized plasmas: Implications for the dissipation range in the solar wind: DISSIPATION OF THE SOLAR WIND
journal, May 2008

  • Howes, G. G.; Cowley, S. C.; Dorland, W.
  • Journal of Geophysical Research: Space Physics, Vol. 113, Issue A5
  • DOI: 10.1029/2007JA012665

Magnetic Reconnection Onset via Disruption of a Forming Current Sheet by the Tearing Instability
journal, March 2016


Nonlinear, three-dimensional magnetohydrodynamics of noncircular tokamaks
journal, January 1976


Anisotropy of Solar Wind Turbulence between Ion and Electron Scales
journal, June 2010


Turbulent heating and acceleration of He ++ ions by spectra of Alfvén-cyclotron waves in the expanding solar wind: 1.5-D hybrid simulations: HE ++ IONS IN THE EXPANDING SOLAR WIND
journal, June 2013

  • Maneva, Y. G.; Viñas, A. F.; Ofman, L.
  • Journal of Geophysical Research: Space Physics, Vol. 118, Issue 6
  • DOI: 10.1002/jgra.50363

Influence of a large-scale field on energy dissipation in magnetohydrodynamic turbulence
journal, March 2017

  • Zhdankin, Vladimir; Boldyrev, Stanislav; Mason, Joanne
  • Monthly Notices of the Royal Astronomical Society, Vol. 468, Issue 4
  • DOI: 10.1093/mnras/stx611

Anisotropy of Alfvénic turbulence in the solar wind and numerical simulations: Anisotropy of Alfvénic turbulence
journal, June 2011


Highly structured slow solar wind emerging from an equatorial coronal hole
journal, December 2019


Magnetic Discontinuities in Magnetohydrodynamic Turbulence and in the Solar Wind
journal, April 2012


The Evolution and Role of Solar Wind Turbulence in the Inner Heliosphere
journal, February 2020

  • Chen, C. H. K.; Bale, S. D.; Bonnell, J. W.
  • The Astrophysical Journal Supplement Series, Vol. 246, Issue 2
  • DOI: 10.3847/1538-4365/ab60a3

Scaling of the Electron Dissipation Range of Solar wind Turbulence
journal, October 2013


Electron magnetic reconnection without ion coupling in Earth’s turbulent magnetosheath
journal, May 2018


Influence of tearing instability on magnetohydrodynamic turbulence
journal, September 2018


Magnetohydrodynamic Turbulence in the Plasmoid-mediated Regime
journal, February 2018


Numerical Simulations of Imbalanced Strong Magnetohydrodynamic Turbulence
journal, January 2010


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

Spectral Breaks of AlfvÉNic Turbulence in a Collisionless Plasma
journal, June 2015

  • Boldyrev, Stanislav; Chen, Christopher H. K.; Xia, Qian
  • The Astrophysical Journal, Vol. 806, Issue 2
  • DOI: 10.1088/0004-637X/806/2/238

Calculations in the theory of tearing instability
journal, October 2018


Resistive tearing modes in a sheet pinch with shear flow
journal, February 1975


Gyrofluid modeling and phenomenology of low- β e Alfvén wave turbulence
journal, April 2018

  • Passot, T.; Sulem, P. L.; Tassi, E.
  • Physics of Plasmas, Vol. 25, Issue 4
  • DOI: 10.1063/1.5022528

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

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


Flux tube texture of the solar wind: Strands of the magnetic carpet at 1 AU?: FLUX TUBE TEXTURE OF SOLAR WIND
journal, August 2008

  • Borovsky, Joseph E.
  • Journal of Geophysical Research: Space Physics, Vol. 113, Issue A8
  • DOI: 10.1029/2007JA012684

Turbulence versus Fire-hose Instabilities: 3D Hybrid Expanding Box Simulations
journal, October 2019

  • Hellinger, Petr; Matteini, Lorenzo; Landi, Simone
  • The Astrophysical Journal, Vol. 883, Issue 2
  • DOI: 10.3847/1538-4357/ab3e01

Numerical Study of Inertial Kinetic-Alfvén Turbulence
journal, January 2019

  • Roytershteyn, Vadim; Boldyrev, Stanislav; Delzanno, Gian Luca
  • The Astrophysical Journal, Vol. 870, Issue 2
  • DOI: 10.3847/1538-4357/aaf288

Numerical measurements of the spectrum in magnetohydrodynamic turbulence
journal, March 2008


The multi-scale nature of the solar wind
journal, December 2019

  • Verscharen, Daniel; Klein, Kristopher G.; Maruca, Bennett A.
  • Living Reviews in Solar Physics, Vol. 16, Issue 1
  • DOI: 10.1007/s41116-019-0021-0

Gyrokinetic Simulations of Solar Wind Turbulence from Ion to Electron Scales
journal, July 2011


High-Resolution Hybrid Simulations of Kinetic Plasma Turbulence at Proton Scales
journal, October 2015


Energy Spectra Stemming from Interactions of Alfvén Waves and Turbulent Eddies
journal, December 2007


Nonlinear Reconnection in Magnetized Turbulence
journal, February 2020


Density Fluctuation Spectrum of Solar Wind Turbulence between Ion and Electron Scales
journal, July 2012


Spectrum of Magnetohydrodynamic Turbulence
journal, March 2006


Energy spectrum of turbulent fluctuations in boundary driven reduced magnetohydrodynamics
journal, September 2003

  • Dmitruk, Pablo; Gómez, Daniel O.; Matthaeus, William H.
  • Physics of Plasmas, Vol. 10, Issue 9
  • DOI: 10.1063/1.1602698

Reconnection of Quasi-Singular Current Sheets: the “Ideal” Tearing mode
journal, December 2013


Recent progress in astrophysical plasma turbulence from solar wind observations
journal, December 2016


Resistive tearing instability with equilibrium shear flow
journal, March 1990

  • Chen, X. L.; Morrison, P. J.
  • Physics of Fluids B: Plasma Physics, Vol. 2, Issue 3
  • DOI: 10.1063/1.859339

Evidence for Inhomogeneous Heating in the Solar wind
journal, December 2010


Parallel Simulations in Turbulent MHD
journal, January 2005


Self-organization processes in continuous media
journal, January 1985


Kinetic Alfvén turbulence below and above ion cyclotron frequency
journal, January 2016

  • Zhao, J. S.; Voitenko, Y. M.; Wu, D. J.
  • Journal of Geophysical Research: Space Physics, Vol. 121, Issue 1
  • DOI: 10.1002/2015JA021959

Astrophysical Gyrokinetics: Basic Equations and Linear Theory
journal, November 2006

  • Howes, Gregory G.; Cowley, Steven C.; Dorland, William
  • The Astrophysical Journal, Vol. 651, Issue 1
  • DOI: 10.1086/506172

Solar Wind Turbulent Cascade from MHD to Sub-ion Scales: Large-size 3D Hybrid Particle-in-cell Simulations
journal, January 2018

  • Franci, Luca; Landi, Simone; Verdini, Andrea
  • The Astrophysical Journal, Vol. 853, Issue 1
  • DOI: 10.3847/1538-4357/aaa3e8

Coronal Heating, Weak MHD Turbulence, and Scaling Laws
journal, February 2007

  • Rappazzo, A. F.; Velli, M.; Einaudi, G.
  • The Astrophysical Journal, Vol. 657, Issue 1
  • DOI: 10.1086/512975

A weak turbulence theory for incompressible magnetohydrodynamics
journal, June 2000


Global Scale-Invariant Dissipation in Collisionless Plasma Turbulence
journal, August 2009


Magnetohydrodynamic Turbulence Mediated by Reconnection
journal, July 2017


Simulations of Incompressible Magnetohydrodynamic Turbulence
journal, June 2001

  • Maron, Jason; Goldreich, Peter
  • The Astrophysical Journal, Vol. 554, Issue 2
  • DOI: 10.1086/321413

Interaction of Shear-Alfven Wave Packets: Implication for Weak Magnetohydrodynamic Turbulence in Astrophysical Plasmas
journal, July 1996

  • Ng, C. S.; Bhattacharjee, A.
  • The Astrophysical Journal, Vol. 465
  • DOI: 10.1086/177468

Who Needs Turbulence?: A Review of Turbulence Effects in the Heliosphere and on the Fundamental Process of Reconnection
journal, June 2011


Ion-scale spectral break of solar wind turbulence at high and low beta
journal, November 2014

  • Chen, C. H. K.; Leung, L.; Boldyrev, S.
  • Geophysical Research Letters, Vol. 41, Issue 22
  • DOI: 10.1002/2014GL062009

Electron-scale reduced fluid models with gyroviscous effects
journal, July 2017


Magnetohydrodynamic Turbulence
book, August 2009


Interstellar Turbulence I: Observations and Processes
journal, September 2004


Fully Kinetic Simulation of 3D Kinetic Alfvén Turbulence
journal, March 2018


Onset of fast “ideal” tearing in thin current sheets: Dependence on the equilibrium current profile
journal, March 2018

  • Pucci, F.; Velli, M.; Tenerani, A.
  • Physics of Plasmas, Vol. 25, Issue 3
  • DOI: 10.1063/1.5022988

Spectral Scaling laws in Magnetohydrodynamic Turbulence Simulations and in the Solar wind
journal, October 2011

  • Boldyrev, Stanislav; Carlos Perez, Jean; Borovsky, Joseph E.
  • The Astrophysical Journal, Vol. 741, Issue 1
  • DOI: 10.1088/2041-8205/741/1/L19

Hybrid model of inhomogeneous solar wind plasma heating by Alfvén wave spectrum: Parametric studies: HYBRID MODEL OF SOLAR WIND PLASMA
journal, April 2010

  • Ofman, L.
  • Journal of Geophysical Research: Space Physics, Vol. 115, Issue A4
  • DOI: 10.1029/2009JA015094

Resistive instabilities in a flowing plasma. II. Effects of viscosity
journal, November 1989

  • Einaudi, Giorgio; Rubini, Franco
  • Physics of Fluids B: Plasma Physics, Vol. 1, Issue 11
  • DOI: 10.1063/1.859038

On the Energy Spectrum of Strong Magnetohydrodynamic Turbulence
journal, October 2012


Role of Magnetic Reconnection in Magnetohydrodynamic Turbulence
journal, June 2017


Residual Energy in Magnetohydrodynamic Turbulence
journal, September 2011


Observational Evidence for Self-generation of Small-scale Magnetic Flux Ropes from Intermittent Solar Wind Turbulence
journal, January 2018


Universality of Solar-Wind Turbulent Spectrum from MHD to Electron Scales
journal, October 2009


Nature of Kinetic Scale Turbulence in the Earth's Magnetosheath
journal, June 2017


Resistive instabilities in a diffuse linear pinch
journal, June 1966


Alfvénic velocity spikes and rotational flows in the near-Sun solar wind
journal, December 2019


Inertial-Range Spectrum of Hydromagnetic Turbulence
journal, January 1965


Two-dimensional hybrid models of H + -He ++ expanding solar wind plasma heating
journal, June 2014

  • Ofman, L.; Viñas, A. F.; Maneva, Y.
  • Journal of Geophysical Research: Space Physics, Vol. 119, Issue 6
  • DOI: 10.1002/2013JA019590

Spectrum of Kinetic-AlfvÉN Turbulence
journal, October 2012


Resistive instabilities in a flowing plasma: I. Inviscid case
journal, January 1986

  • Einaudi, G.; Rubini, F.
  • Physics of Fluids, Vol. 29, Issue 8
  • DOI: 10.1063/1.865548

Role of reconnection in inertial kinetic-Alfvén turbulence
journal, August 2019


On Weak and Strong Magnetohydrodynamic Turbulence
journal, December 2007

  • Perez, Jean Carlos; Boldyrev, Stanislav
  • The Astrophysical Journal, Vol. 672, Issue 1
  • DOI: 10.1086/526342

Empirical Constraints on Proton and Electron Heating in the fast Solar wind
journal, August 2009

  • Cranmer, Steven R.; Matthaeus, William H.; Breech, Benjamin A.
  • The Astrophysical Journal, Vol. 702, Issue 2
  • DOI: 10.1088/0004-637X/702/2/1604

Turbulence in Magnetized Pair Plasmas
journal, October 2018


Strong MHD helical turbulence and the nonlinear dynamo effect
journal, September 1976


Evidence of critical balance in kinetic Alfvén wave turbulence simulations
journal, May 2012

  • TenBarge, J. M.; Howes, G. G.
  • Physics of Plasmas, Vol. 19, Issue 5
  • DOI: 10.1063/1.3693974

Turbulent Origin of the Galactic Center Magnetic Field: Nonthermal Radio Filaments
journal, January 2006

  • Boldyrev, Stanislav; Yusef-Zadeh, Farhad
  • The Astrophysical Journal, Vol. 637, Issue 2
  • DOI: 10.1086/500411

Disruption of Alfvénic turbulence by magnetic reconnection in a collisionless plasma
journal, November 2017

  • Mallet, Alfred; Schekochihin, Alexander A.; Chandran, Benjamin D. G.
  • Journal of Plasma Physics, Vol. 83, Issue 6
  • DOI: 10.1017/S0022377817000812

Resistive tearing mode instability with shear flow and viscosity
journal, June 1991

  • Ofman, L.; Chen, X. L.; Morrison, P. J.
  • Physics of Fluids B: Plasma Physics, Vol. 3, Issue 6
  • DOI: 10.1063/1.859701

Magnetohydrodynamic and kinetic scale turbulence in the near-Earth space plasmas: a (short) biased review
journal, February 2020

  • Sahraoui, Fouad; Hadid, Lina; Huang, Shiyong
  • Reviews of Modern Plasma Physics, Vol. 4, Issue 1
  • DOI: 10.1007/s41614-020-0040-2

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

Who Needs Turbulence?: A Review of Turbulence Effects in the Heliosphere and on the Fundamental Process of Reconnection
journal, June 2011


Resistive instabilities in a diffuse linear pinch
journal, June 1966


Magnetic Reconnection May Control the Ion-scale Spectral Break of Solar Wind Turbulence
journal, March 2018

  • Vech, Daniel; Mallet, Alfred; Klein, Kristopher G.
  • The Astrophysical Journal, Vol. 855, Issue 2
  • DOI: 10.3847/2041-8213/aab351

Intermittency and Alignment in Strong RMHD Turbulence
preprint, January 2014