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

Title: Electromotive force due to magnetohydrodynamic fluctuations in sheared rotating turbulence

Abstract

Here, this article presents a calculation of the mean electromotive force arising from general small-scale magnetohydrodynamical turbulence, within the framework of the second-order correlation approximation. With the goal of improving understanding of the accretion disk dynamo, effects arising through small-scale magnetic fluctuations, velocity gradients, density and turbulence stratification, and rotation, are included. The primary result, which supplements numerical findings, is that an off-diagonal turbulent resistivity due to magnetic fluctuations can produce large-scale dynamo action-the magnetic analog of the "shear-current" effect. In addition, consideration of alpha effects in the stratified regions of disks gives the puzzling result that there is no strong prediction for a sign of alpha, since the effects due to kinetic and magnetic fluctuations, as well as those due to shear and rotation, are each of opposing signs and tend to cancel each other.

Authors:
 [1];  [1]
  1. Princeton Univ., Princeton, NJ (United States)
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1256591
Alternate Identifier(s):
OSTI ID: 1224869
Report Number(s):
PPPL-5183
Journal ID: ISSN 1539-3755; PLEEE8
Grant/Contract Number:  
AC02-09CH11466; AC02-09-CH11466
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Additional Journal Information:
Journal Volume: 92; Journal Issue: 5; Journal ID: ISSN 1539-3755
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Squire, J., and Bhattacharjee, A. Electromotive force due to magnetohydrodynamic fluctuations in sheared rotating turbulence. United States: N. p., 2015. Web. doi:10.1103/PhysRevE.92.053101.
Squire, J., & Bhattacharjee, A. Electromotive force due to magnetohydrodynamic fluctuations in sheared rotating turbulence. United States. doi:10.1103/PhysRevE.92.053101.
Squire, J., and Bhattacharjee, A. Mon . "Electromotive force due to magnetohydrodynamic fluctuations in sheared rotating turbulence". United States. doi:10.1103/PhysRevE.92.053101. https://www.osti.gov/servlets/purl/1256591.
@article{osti_1256591,
title = {Electromotive force due to magnetohydrodynamic fluctuations in sheared rotating turbulence},
author = {Squire, J. and Bhattacharjee, A.},
abstractNote = {Here, this article presents a calculation of the mean electromotive force arising from general small-scale magnetohydrodynamical turbulence, within the framework of the second-order correlation approximation. With the goal of improving understanding of the accretion disk dynamo, effects arising through small-scale magnetic fluctuations, velocity gradients, density and turbulence stratification, and rotation, are included. The primary result, which supplements numerical findings, is that an off-diagonal turbulent resistivity due to magnetic fluctuations can produce large-scale dynamo action-the magnetic analog of the "shear-current" effect. In addition, consideration of alpha effects in the stratified regions of disks gives the puzzling result that there is no strong prediction for a sign of alpha, since the effects due to kinetic and magnetic fluctuations, as well as those due to shear and rotation, are each of opposing signs and tend to cancel each other.},
doi = {10.1103/PhysRevE.92.053101},
journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics},
number = 5,
volume = 92,
place = {United States},
year = {2015},
month = {11}
}

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

Citation Metrics:
Cited by: 5 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Local Three-dimensional Magnetohydrodynamic Simulations of Accretion Disks
journal, February 1995

  • Hawley, John F.; Gammie, Charles F.; Balbus, Steven A.
  • The Astrophysical Journal, Vol. 440
  • DOI: 10.1086/175311

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


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

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


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


Nonlinear theory of a “shear-current” effect and mean-field magnetic dynamos
journal, October 2004


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

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


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


The role of the helicity spectrum function in turbulent dynamo theory
journal, October 1982

  • Moffatt, H. K.; Proctor, M. R. E.
  • Geophysical & Astrophysical Fluid Dynamics, Vol. 21, Issue 3-4
  • DOI: 10.1080/03091928208209016

Mean electromotive force in turbulent shear flow
journal, January 2002


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


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


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


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

Transport coefficients for the shear dynamo problem at small Reynolds numbers
journal, May 2011


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


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

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

A mean-field approach to the propagation of field patterns in stratified magnetorotational turbulence
journal, March 2010


Emergent mesoscale phenomena in magnetized accretion disc turbulence: Accretion disc turbulence
journal, April 2012

  • Simon, Jacob B.; Beckwith, Kris; Armitage, Philip J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 422, Issue 3
  • DOI: 10.1111/j.1365-2966.2012.20835.x

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


Cross helicity and related dynamo
journal, June 2012


VEST: Abstract vector calculus simplification in Mathematica
journal, January 2014


A self-consistent treatment of the electromotive force in magnetohydrodynamics for large diffusivities
journal, July 2010

  • Courvoisier, A.; Hughes, D. W.; Proctor, M. R. E.
  • Astronomische Nachrichten, Vol. 331, Issue 7
  • DOI: 10.1002/asna.201011358

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


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


Astrophysical magnetic fields and nonlinear dynamo theory
journal, October 2005


Shear dynamo problem: Quasilinear kinematic theory
journal, April 2009


On the Convergence of Magnetorotational Turbulence in Stratified Isothermal Shearing Boxes
journal, May 2014


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


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

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


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


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

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

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

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


    Works referencing / citing this record:

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