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Title: The magnetic shear-current effect: Generation of large-scale magnetic fields by the small-scale dynamo

Abstract

A novel large-scale dynamo mechanism, the magnetic shear-current effect, is discussed and explored. Here, the effect relies on the interaction of magnetic fluctuations with a mean shear flow, meaning the saturated state of the small-scale dynamo can drive a large-scale dynamo – in some sense the inverse of dynamo quenching. The dynamo is non-helical, with the mean field$${\it\alpha}$$coefficient zero, and is caused by the interaction between an off-diagonal component of the turbulent resistivity and the stretching of the large-scale field by shear flow. Following up on previous numerical and analytic work, this paper presents further details of the numerical evidence for the effect, as well as an heuristic description of how magnetic fluctuations can interact with shear flow to produce the required electromotive force. The pressure response of the fluid is fundamental to this mechanism, which helps explain why the magnetic effect is stronger than its kinematic cousin, and the basic idea is related to the well-known lack of turbulent resistivity quenching by magnetic fluctuations. As well as being interesting for its applications to general high Reynolds number astrophysical turbulence, where strong small-scale magnetic fluctuations are expected to be prevalent, the magnetic shear-current effect is a likely candidate for large-scale dynamo in the unstratified regions of ionized accretion disks. Evidence for this is discussed, as well as future research directions and the challenges involved with understanding details of the effect in astrophysically relevant regimes.

Authors:
 [1];  [2]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States); Princeton Univ., Princeton, NJ (United States)
  2. Princeton Univ., Princeton, NJ (United States)
Publication Date:
Research Org.:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1259596
Grant/Contract Number:  
AC02-09CH11466
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Plasma Physics
Additional Journal Information:
Journal Volume: 82; Journal Issue: 02; Journal ID: ISSN 0022-3778
Publisher:
Cambridge University Press
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Squire, J., and Bhattacharjee, A. The magnetic shear-current effect: Generation of large-scale magnetic fields by the small-scale dynamo. United States: N. p., 2016. Web. doi:10.1017/s0022377816000258.
Squire, J., & Bhattacharjee, A. The magnetic shear-current effect: Generation of large-scale magnetic fields by the small-scale dynamo. United States. https://doi.org/10.1017/s0022377816000258
Squire, J., and Bhattacharjee, A. Mon . "The magnetic shear-current effect: Generation of large-scale magnetic fields by the small-scale dynamo". United States. https://doi.org/10.1017/s0022377816000258. https://www.osti.gov/servlets/purl/1259596.
@article{osti_1259596,
title = {The magnetic shear-current effect: Generation of large-scale magnetic fields by the small-scale dynamo},
author = {Squire, J. and Bhattacharjee, A.},
abstractNote = {A novel large-scale dynamo mechanism, the magnetic shear-current effect, is discussed and explored. Here, the effect relies on the interaction of magnetic fluctuations with a mean shear flow, meaning the saturated state of the small-scale dynamo can drive a large-scale dynamo – in some sense the inverse of dynamo quenching. The dynamo is non-helical, with the mean field${\it\alpha}$coefficient zero, and is caused by the interaction between an off-diagonal component of the turbulent resistivity and the stretching of the large-scale field by shear flow. Following up on previous numerical and analytic work, this paper presents further details of the numerical evidence for the effect, as well as an heuristic description of how magnetic fluctuations can interact with shear flow to produce the required electromotive force. The pressure response of the fluid is fundamental to this mechanism, which helps explain why the magnetic effect is stronger than its kinematic cousin, and the basic idea is related to the well-known lack of turbulent resistivity quenching by magnetic fluctuations. As well as being interesting for its applications to general high Reynolds number astrophysical turbulence, where strong small-scale magnetic fluctuations are expected to be prevalent, the magnetic shear-current effect is a likely candidate for large-scale dynamo in the unstratified regions of ionized accretion disks. Evidence for this is discussed, as well as future research directions and the challenges involved with understanding details of the effect in astrophysically relevant regimes.},
doi = {10.1017/s0022377816000258},
journal = {Journal of Plasma Physics},
number = 02,
volume = 82,
place = {United States},
year = {Mon Mar 14 00:00:00 EDT 2016},
month = {Mon Mar 14 00:00:00 EDT 2016}
}

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Cited by: 15 works
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Works referenced in this record:

Generation of Large-Scale Magnetic Fields by Small-Scale Dynamo in Shear Flows
journal, October 2015


The Saturation Limit of the Magnetorotational Instability
journal, April 2009


On the measurement of the turbulent diffusivity of a large-scale magnetic field
journal, February 2013


Diffusivity Quenching as a Mechanism for Parker's Surface Dynamo
journal, August 1996

  • Tobias, S. M.
  • The Astrophysical Journal, Vol. 467
  • DOI: 10.1086/177661

Coherent Nonhelical Shear Dynamos Driven by Magnetic Fluctuations at low Reynolds Numbers
journal, October 2015


Magnetic-Field Generation in Helical Turbulence
journal, December 2005


Fluctuation dynamo and turbulent induction at low magnetic Prandtl numbers
journal, August 2007


Saturated State of the Nonlinear Small-Scale Dynamo
journal, February 2004


Numerical Studies of Dynamo Action in a Turbulent Shear Flow. i.
journal, June 2015


Generation of Magnetic Field by Combined Action of Turbulence and Shear
journal, May 2008


On the mode of Dynamo Action in a Global Large-Eddy Simulation of Solar Convection
journal, June 2011

  • Racine, Étienne; Charbonneau, Paul; Ghizaru, Mihai
  • The Astrophysical Journal, Vol. 735, Issue 1
  • DOI: 10.1088/0004-637X/735/1/46

A solar dynamo surface wave at the interface between convection and nonuniform rotation
journal, May 1993

  • Parker, E. N.
  • The Astrophysical Journal, Vol. 408
  • DOI: 10.1086/172631

Impact of dimensionless numbers on the efficiency of magnetorotational instability induced turbulent transport
journal, June 2007


The spectrum of random magnetic fields in the mean field dynamo theory of the Galactic magnetic field
journal, September 1992

  • Kulsrud, Russell M.; Anderson, Stephen W.
  • The Astrophysical Journal, Vol. 396
  • DOI: 10.1086/171743

Large-Scale Magnetic Field Generation by Randomly Forced Shearing Waves
journal, December 2011


Dynamical Quenching of the α 2 Dynamo
journal, June 2002

  • Field, George B.; Blackman, Eric G.
  • The Astrophysical Journal, Vol. 572, Issue 1
  • DOI: 10.1086/340233

On Large-Scale Dynamo Action at high Magnetic Reynolds Number
journal, June 2014


Problems with kinematic mean field electrodynamics at high magnetic Reynolds numbers
journal, May 2009


Local and Nonlocal Magnetic Diffusion and Alpha-Effect Tensors in Shear Flow Turbulence
journal, January 2002

  • Brandenburg, Axel; Sokoloff, Dmitry
  • Geophysical & Astrophysical Fluid Dynamics, Vol. 96, Issue 4
  • DOI: 10.1080/03091920290032974

Magnetic Quenching of α and Diffusivity Tensors in Helical Turbulence
journal, October 2008

  • Brandenburg, Axel; Rädler, Karl-Heinz; Rheinhardt, Matthias
  • The Astrophysical Journal, Vol. 687, Issue 1
  • DOI: 10.1086/593146

Self-Consistency Constraints on the Dynamo Mechanism
journal, August 1995

  • Bhattacharjee, A.; Yuan, Y.
  • The Astrophysical Journal, Vol. 449
  • DOI: 10.1086/176094

Localized magnetorotational instability and its role in the accretion disc dynamo
journal, December 2008


Mean-field view on rotating magnetoconvection and a geodynamo model: Mean-field view on rotating magnetoconvection and a geodynamo model
journal, March 2005

  • Schrinner, M.; Rädler, K. -H.; Schmitt, D.
  • Astronomische Nachrichten, Vol. 326, Issue 3-4
  • DOI: 10.1002/asna.200410384

Test-field method for mean-field coefficients with MHD background
journal, September 2010


On the Generation of Organized Magnetic Fields
journal, February 2011


Cross helicity and related dynamo
journal, June 2012


Shear-driven dynamo waves at high magnetic Reynolds number
journal, May 2013


Mean electromotive force due to turbulence of a conducting fluid in the presence of mean flow
journal, May 2006


Local Three-dimensional Simulations of an Accretion Disk Hydromagnetic Dynamo
journal, June 1996

  • Hawley, John F.; Gammie, Charles F.; Balbus, Steven A.
  • The Astrophysical Journal, Vol. 464
  • DOI: 10.1086/177356

New Dynamical Mean-Field Dynamo Theory and Closure Approach
journal, December 2002


Numerical experiments on dynamo action in sheared and rotating turbulence
journal, September 2008

  • Yousef, T. A.; Heinemann, T.; Rincon, F.
  • Astronomische Nachrichten, Vol. 329, Issue 7
  • DOI: 10.1002/asna.200811018

Electromotive force due to magnetohydrodynamic fluctuations in sheared rotating turbulence
journal, November 2015


Dynamics of streamwise rolls and streaks in turbulent wall-bounded shear flow
journal, August 2012

  • Farrell, Brian F.; Ioannou, Petros J.
  • Journal of Fluid Mechanics, Vol. 708
  • DOI: 10.1017/jfm.2012.300

On self-sustained dynamo cycles in accretion discs
journal, July 2008


The mean electromotive force for MHD turbulence: The case of a weak mean magnetic field and slow rotation
journal, June 2003

  • Radler, Karl-Heinz; Kleeorin, Nathan; Rogachevskii, Igor
  • Geophysical & Astrophysical Fluid Dynamics, Vol. 97, Issue 3
  • DOI: 10.1080/0309192031000151212

Helicity-Flux-Driven α Effect in Laboratory and Astrophysical Plasmas
journal, March 2014


Angular momentum transport and large eddy simulations in magnetorotational turbulence: the small Pm limit
journal, July 2015


Mean-field electrodynamics: critical analysis of various analytical approaches to the mean electromotive force
journal, April 2007

  • Rädler, Karl-Heinz; Rheinhardt, Matthias
  • Geophysical & Astrophysical Fluid Dynamics, Vol. 101, Issue 2
  • DOI: 10.1080/03091920601111068

Scaling and intermittency in incoherent α-shear dynamo: Incoherent α-shear dynamos
journal, January 2012


On the magnetic quenching of mean-field effects in supersonic interstellar turbulence
journal, December 2012

  • Gressel, Oliver; Bendre, Abhijit; Elstner, Detlef
  • Monthly Notices of the Royal Astronomical Society, Vol. 429, Issue 2
  • DOI: 10.1093/mnras/sts356

Astrophysical magnetic fields and nonlinear dynamo theory
journal, October 2005


The α effect with imposed and dynamo-generated magnetic fields
journal, October 2009


An Incoherent α‐Ω Dynamo in Accretion Disks
journal, January 1997

  • Vishniac, Ethan T.; Brandenburg, Axel
  • The Astrophysical Journal, Vol. 475, Issue 1
  • DOI: 10.1086/303504

Dynamo-generated Turbulence and Large-Scale Magnetic Fields in a Keplerian Shear Flow
journal, June 1995

  • Brandenburg, Axel; Nordlund, Ake; Stein, Robert F.
  • The Astrophysical Journal, Vol. 446
  • DOI: 10.1086/175831

MHD simulations of the magnetorotational instability in a shearing box with zero net flux: II. The effect of transport coefficients
journal, October 2007


Do mean-field dynamos in nonrotating turbulent shear-flows exist?
journal, May 2006


Characterizing the Mean-Field Dynamo in Turbulent Accretion Disks
journal, August 2015


Magnetohydrodynamic Simulation-Driven Kinematic mean Field Model of the Solar Cycle
journal, April 2013

  • Simard, Corinne; Charbonneau, Paul; Bouchat, Amélie
  • The Astrophysical Journal, Vol. 768, Issue 1
  • DOI: 10.1088/0004-637X/768/1/16

Statistical Simulation of the Magnetorotational Dynamo
journal, February 2015


Nonlinear Current Helicity Fluxes in Turbulent Dynamos and Alpha Quenching
journal, November 2004


Magnetic Diffusivity Tensor and Dynamo Effects in Rotating and Shearing Turbulence
journal, March 2008

  • Brandenburg, A.; Rädler, K. ‐H.; Rheinhardt, M.
  • The Astrophysical Journal, Vol. 676, Issue 1
  • DOI: 10.1086/527373

Nonlinear shear-current dynamo and magnetic helicity transport in sheared turbulence
journal, December 2006

  • Rogachevskii, Igor; Kleeorin, Nathan; Liverts, Edik
  • Geophysical & Astrophysical Fluid Dynamics, Vol. 100, Issue 6
  • DOI: 10.1080/03091920601004248

The electromotive force in multi-scale flows at high magnetic Reynolds number
journal, September 2015


Simulations of a magnetic fluctuation driven large-scale dynamo and comparison with a two-scale model: Large-scale dynamo and a two-scale model
journal, May 2012


Magnetic Helicity Conservation and Astrophysical Dynamos
journal, April 2001

  • Vishniac, Ethan T.; Cho, Jungyeon
  • The Astrophysical Journal, Vol. 550, Issue 2
  • DOI: 10.1086/319817

Dynamo effect and current drive due to magnetic fluctuations in sheared magnetic field
journal, August 1991

  • Avinash, K.
  • Physics of Fluids B: Plasma Physics, Vol. 3, Issue 8
  • DOI: 10.1063/1.859628

Astrophysical Fluid Dynamics via Direct Statistical Simulation
journal, January 2011


Angular momentum transport and large eddy simulations in magnetorotational turbulence: the small Pm limit
journal, July 2015


Dynamo effect and current drive due to magnetic fluctuations in sheared magnetic field
journal, August 1991

  • Avinash, K.
  • Physics of Fluids B: Plasma Physics, Vol. 3, Issue 8
  • DOI: 10.1063/1.859628

Fluctuation dynamo and turbulent induction at low magnetic Prandtl numbers
journal, August 2007


Electromotive force and large-scale magnetic dynamo in a turbulent flow with a mean shear
journal, September 2003


Self-consistent theory of mean-field electrodynamics
journal, March 1994


Magnetic Helicity Conservation and Astrophysical Dynamos
text, January 2000


Nonlinear shear-current dynamo and magnetic helicity transport in sheared turbulence
text, January 2006


Works referencing / citing this record:

Advances in mean-field dynamo theory and applications to astrophysical turbulence
journal, August 2018


Dynamo theories
journal, August 2019


Estimating activity cycles with probabilistic methods: II. The Mount Wilson Ca H&K data
journal, October 2018