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:
-
- Princeton Univ., Princeton, NJ (United States)
- Publication Date:
- Research Org.:
- Princeton Plasma Physics Laboratory (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. https://doi.org/10.1103/PhysRevE.92.053101
Squire, J., and Bhattacharjee, A. Mon .
"Electromotive force due to magnetohydrodynamic fluctuations in sheared rotating turbulence". United States. https://doi.org/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 = {Mon Nov 02 00:00:00 EST 2015},
month = {Mon Nov 02 00:00:00 EST 2015}
}
Web of Science
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
On self-sustained dynamo cycles in accretion discs
journal, July 2008
- Lesur, G.; Ogilvie, G. I.
- Astronomy & Astrophysics, Vol. 488, Issue 2
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
Self-consistent theory of mean-field electrodynamics
journal, March 1994
- Gruzinov, A. V.; Diamond, P. H.
- Physical Review Letters, Vol. 72, Issue 11
The macroscopic magnetohydrodynamics of inhomogeneously turbulent cosmic plasmas
journal, July 1983
- Vainshtein, S. I.; Kichatinov, L. L.
- Geophysical & Astrophysical Fluid Dynamics, Vol. 24, Issue 4
Strong MHD helical turbulence and the nonlinear dynamo effect
journal, September 1976
- Pouquet, A.; Frisch, U.; Léorat, J.
- Journal of Fluid Mechanics, Vol. 77, Issue 2
Nonlinear theory of a “shear-current” effect and mean-field magnetic dynamos
journal, October 2004
- Rogachevskii, Igor; Kleeorin, Nathan
- Physical Review E, Vol. 70, Issue 4
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
The mean electro-motive force and current helicity under the influence of rotation, magnetic field and shear
journal, February 2008
- Pipin, V. V.
- Geophysical & Astrophysical Fluid Dynamics, Vol. 102, Issue 1
Coherent Nonhelical Shear Dynamos Driven by Magnetic Fluctuations at low Reynolds Numbers
journal, October 2015
- Squire, J.; Bhattacharjee, A.
- The Astrophysical Journal, Vol. 813, Issue 1
Generation of Large-Scale Magnetic Fields by Small-Scale Dynamo in Shear Flows
journal, October 2015
- Squire, J.; Bhattacharjee, A.
- Physical Review Letters, Vol. 115, Issue 17
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
Mean electromotive force in turbulent shear flow
journal, January 2002
- Urpin, V.
- Physical Review E, Vol. 65, Issue 2
Electromotive force and large-scale magnetic dynamo in a turbulent flow with a mean shear
journal, September 2003
- Rogachevskii, Igor; Kleeorin, Nathan
- Physical Review E, Vol. 68, Issue 3
Do mean-field dynamos in nonrotating turbulent shear-flows exist?
journal, May 2006
- Rüdiger, G.; Kitchatinov, L. L.
- Astronomische Nachrichten, Vol. 327, Issue 4
Mean electromotive force due to turbulence of a conducting fluid in the presence of mean flow
journal, May 2006
- Rädler, Karl-Heinz; Stepanov, Rodion
- Physical Review E, Vol. 73, Issue 5
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
Transport coefficients for the shear dynamo problem at small Reynolds numbers
journal, May 2011
- Singh, Nishant K.; Sridhar, S.
- Physical Review E, Vol. 83, Issue 5
Localized magnetorotational instability and its role in the accretion disc dynamo
journal, December 2008
- Lesur, Geoffroy; Ogilvie, Gordon I.
- Monthly Notices of the Royal Astronomical Society, Vol. 391, Issue 3
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
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
A mean-field approach to the propagation of field patterns in stratified magnetorotational turbulence
journal, March 2010
- Gressel, Oliver
- Monthly Notices of the Royal Astronomical Society
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
New Dynamical Mean-Field Dynamo Theory and Closure Approach
journal, December 2002
- Blackman, Eric G.; Field, George B.
- Physical Review Letters, Vol. 89, Issue 26
Cross helicity and related dynamo
journal, June 2012
- Yokoi, N.
- Geophysical & Astrophysical Fluid Dynamics, Vol. 107, Issue 1-2
VEST: Abstract vector calculus simplification in Mathematica
journal, January 2014
- Squire, J.; Burby, J.; Qin, H.
- Computer Physics Communications, Vol. 185, Issue 1
Turbulent magnetohydrodynamic dynamo for accretion disks using the cross-helicity effect
journal, April 1993
- Yoshizawa, Akira; Yokoi, Nobumitsu
- The Astrophysical Journal, Vol. 407
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
Large-Scale Magnetic Field Generation by Randomly Forced Shearing Waves
journal, December 2011
- Heinemann, T.; McWilliams, J. C.; Schekochihin, A. A.
- Physical Review Letters, Vol. 107, Issue 25
Scaling and intermittency in incoherent α-shear dynamo: Incoherent α-shear dynamos
journal, January 2012
- Mitra, Dhrubaditya; Brandenburg, Axel
- Monthly Notices of the Royal Astronomical Society, Vol. 420, Issue 3
Astrophysical magnetic fields and nonlinear dynamo theory
journal, October 2005
- Brandenburg, Axel; Subramanian, Kandaswamy
- Physics Reports, Vol. 417, Issue 1-4
The alpha-effect in galaxies is highly anisotropic
journal, January 1990
- Rüdiger, Günther
- Geophysical & Astrophysical Fluid Dynamics, Vol. 50, Issue 1-3
Shear dynamo problem: Quasilinear kinematic theory
journal, April 2009
- Sridhar, S.; Subramanian, Kandaswamy
- Physical Review E, Vol. 79, Issue 4
On the Convergence of Magnetorotational Turbulence in Stratified Isothermal Shearing Boxes
journal, May 2014
- Bodo, G.; Cattaneo, F.; Mignone, A.
- The Astrophysical Journal, Vol. 787, Issue 1
Characterizing the Mean-Field Dynamo in Turbulent Accretion Disks
journal, August 2015
- Gressel, Oliver; Pessah, Martin E.
- The Astrophysical Journal, Vol. 810, Issue 1
Magnetic Helicity Conservation and Astrophysical Dynamos
journal, April 2001
- Vishniac, Ethan T.; Cho, Jungyeon
- The Astrophysical Journal, Vol. 550, Issue 2
Nonlinear Current Helicity Fluxes in Turbulent Dynamos and Alpha Quenching
journal, November 2004
- Subramanian, Kandaswamy; Brandenburg, Axel
- Physical Review Letters, Vol. 93, Issue 20
Helicity-Flux-Driven Effect in Laboratory and Astrophysical Plasmas
journal, March 2014
- Ebrahimi, F.; Bhattacharjee, A.
- Physical Review Letters, Vol. 112, Issue 12
A solar dynamo surface wave at the interface between convection and nonuniform rotation
journal, May 1993
- Parker, E. N.
- The Astrophysical Journal, Vol. 408
Diffusivity Quenching as a Mechanism for Parker's Surface Dynamo
journal, August 1996
- Tobias, S. M.
- The Astrophysical Journal, Vol. 467
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
Coronae & Outflows from Helical Dynamos, Compatibility with the MRI, and Application to Protostellar Disks
journal, January 2004
- Blackman, Eric G.; Tan, Jonathan C.
- Astrophysics and Space Science, Vol. 292, Issue 1-4
Generation of Magnetic Field by Combined Action of Turbulence and Shear
journal, May 2008
- Yousef, T. A.; Heinemann, T.; Schekochihin, A. A.
- Physical Review Letters, Vol. 100, Issue 18
Works referencing / citing this record:
Non-linear galactic dynamos and the magnetic Rädler effect
journal, August 2018
- Chamandy, Luke; Singh, Nishant K.
- Monthly Notices of the Royal Astronomical Society, Vol. 481, Issue 1
Advances in mean-field dynamo theory and applications to astrophysical turbulence
text, January 2018
- Brandenburg, Axel
- arXiv