Electromotive force due to magnetohydrodynamic fluctuations in sheared rotating turbulence

Squire, J.; Bhattacharjee, A.

doi:10.1103/PhysRevE.92.053101

Electromotive force due to magnetohydrodynamic fluctuations in sheared rotating turbulence

Journal Article · Mon Nov 02 00:00:00 EST 2015 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

DOI:https://doi.org/10.1103/PhysRevE.92.053101· OSTI ID:1256591

Squire, J. ^[1]; Bhattacharjee, A. ^[1]

Princeton Univ., Princeton, NJ (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-09CH11466

OSTI ID:: 1256591

Alternate ID(s):: OSTI ID: 1224869

Report Number(s):: PPPL--5183

Journal Information:: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Journal Name: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics Journal Issue: 5 Vol. 92; ISSN 1539-3755; ISSN PLEEE8

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (43)

Do mean-field dynamos in nonrotating turbulent shear-flows exist? Rüdiger, G.; Kitchatinov, L. L. Astronomische Nachrichten, Vol. 327, Issue 4 https://doi.org/10.1002/asna.200610527	journal	May 2006
A self-consistent treatment of the electromotive force in magnetohydrodynamics for large diffusivities Courvoisier, A.; Hughes, D. W.; Proctor, M. R. E. Astronomische Nachrichten, Vol. 331, Issue 7 https://doi.org/10.1002/asna.201011358	journal	July 2010
VEST: Abstract vector calculus simplification in Mathematica Squire, J.; Burby, J.; Qin, H. Computer Physics Communications, Vol. 185, Issue 1 https://doi.org/10.1016/j.cpc.2013.08.021	journal	January 2014
Astrophysical magnetic fields and nonlinear dynamo theory Brandenburg, Axel; Subramanian, Kandaswamy Physics Reports, Vol. 417, Issue 1-4 https://doi.org/10.1016/j.physrep.2005.06.005	journal	October 2005
Strong MHD helical turbulence and the nonlinear dynamo effect Pouquet, A.; Frisch, U.; Léorat, J. Journal of Fluid Mechanics, Vol. 77, Issue 2 https://doi.org/10.1017/S0022112076002140	journal	September 1976
Coronae & Outflows from Helical Dynamos, Compatibility with the MRI, and Application to Protostellar Disks Blackman, Eric G.; Tan, Jonathan C. Astrophysics and Space Science, Vol. 292, Issue 1-4 https://doi.org/10.1023/B:ASTR.0000045043.87692.4a	journal	January 2004
On self-sustained dynamo cycles in accretion discs Lesur, G.; Ogilvie, G. I. Astronomy & Astrophysics, Vol. 488, Issue 2 https://doi.org/10.1051/0004-6361:200810152	journal	July 2008
Local and Nonlocal Magnetic Diffusion and Alpha-Effect Tensors in Shear Flow Turbulence Brandenburg, Axel; Sokoloff, Dmitry Geophysical & Astrophysical Fluid Dynamics, Vol. 96, Issue 4 https://doi.org/10.1080/03091920290032974	journal	January 2002
The mean electromotive force for MHD turbulence: The case of a weak mean magnetic field and slow rotation Radler, Karl-Heinz; Kleeorin, Nathan; Rogachevskii, Igor Geophysical & Astrophysical Fluid Dynamics, Vol. 97, Issue 3 https://doi.org/10.1080/0309192031000151212	journal	June 2003
Nonlinear shear-current dynamo and magnetic helicity transport in sheared turbulence Rogachevskii, Igor; Kleeorin, Nathan; Liverts, Edik Geophysical & Astrophysical Fluid Dynamics, Vol. 100, Issue 6 https://doi.org/10.1080/03091920601004248	journal	December 2006
The mean electro-motive force and current helicity under the influence of rotation, magnetic field and shear Pipin, V. V. Geophysical & Astrophysical Fluid Dynamics, Vol. 102, Issue 1 https://doi.org/10.1080/03091920701374772	journal	February 2008
The role of the helicity spectrum function in turbulent dynamo theory Moffatt, H. K.; Proctor, M. R. E. Geophysical & Astrophysical Fluid Dynamics, Vol. 21, Issue 3-4 https://doi.org/10.1080/03091928208209016	journal	October 1982
The macroscopic magnetohydrodynamics of inhomogeneously turbulent cosmic plasmas Vainshtein, S. I.; Kichatinov, L. L. Geophysical & Astrophysical Fluid Dynamics, Vol. 24, Issue 4 https://doi.org/10.1080/03091928308209069	journal	July 1983
Cross helicity and related dynamo Yokoi, N. Geophysical & Astrophysical Fluid Dynamics, Vol. 107, Issue 1-2 https://doi.org/10.1080/03091929.2012.754022	journal	June 2012
The alpha-effect in galaxies is highly anisotropic Rüdiger, Günther Geophysical & Astrophysical Fluid Dynamics, Vol. 50, Issue 1-3 https://doi.org/10.1080/03091929008219871	journal	January 1990
The spectrum of random magnetic fields in the mean field dynamo theory of the Galactic magnetic field Kulsrud, Russell M.; Anderson, Stephen W. The Astrophysical Journal, Vol. 396 https://doi.org/10.1086/171743	journal	September 1992
Turbulent magnetohydrodynamic dynamo for accretion disks using the cross-helicity effect Yoshizawa, Akira; Yokoi, Nobumitsu The Astrophysical Journal, Vol. 407 https://doi.org/10.1086/172535	journal	April 1993
A solar dynamo surface wave at the interface between convection and nonuniform rotation Parker, E. N. The Astrophysical Journal, Vol. 408 https://doi.org/10.1086/172631	journal	May 1993
Local Three-dimensional Magnetohydrodynamic Simulations of Accretion Disks Hawley, John F.; Gammie, Charles F.; Balbus, Steven A. The Astrophysical Journal, Vol. 440 https://doi.org/10.1086/175311	journal	February 1995
Dynamo-generated Turbulence and Large-Scale Magnetic Fields in a Keplerian Shear Flow Brandenburg, Axel; Nordlund, Ake; Stein, Robert F. The Astrophysical Journal, Vol. 446 https://doi.org/10.1086/175831	journal	June 1995
Diffusivity Quenching as a Mechanism for Parker's Surface Dynamo Tobias, S. M. The Astrophysical Journal, Vol. 467 https://doi.org/10.1086/177661	journal	August 1996
Magnetic Helicity Conservation and Astrophysical Dynamos Vishniac, Ethan T.; Cho, Jungyeon The Astrophysical Journal, Vol. 550, Issue 2 https://doi.org/10.1086/319817	journal	April 2001
Magnetic Diffusivity Tensor and Dynamo Effects in Rotating and Shearing Turbulence Brandenburg, A.; Rädler, K. ‐H.; Rheinhardt, M. The Astrophysical Journal, Vol. 676, Issue 1 https://doi.org/10.1086/527373	journal	March 2008
Characterizing the Mean-Field Dynamo in Turbulent Accretion Disks Gressel, Oliver; Pessah, Martin E. The Astrophysical Journal, Vol. 810, Issue 1 https://doi.org/10.1088/0004-637X/810/1/59	journal	August 2015
Coherent Nonhelical Shear Dynamos Driven by Magnetic Fluctuations at low Reynolds Numbers Squire, J.; Bhattacharjee, A. The Astrophysical Journal, Vol. 813, Issue 1 https://doi.org/10.1088/0004-637X/813/1/52	journal	October 2015
On the Convergence of Magnetorotational Turbulence in Stratified Isothermal Shearing Boxes Bodo, G.; Cattaneo, F.; Mignone, A. The Astrophysical Journal, Vol. 787, Issue 1 https://doi.org/10.1088/2041-8205/787/1/L13	journal	May 2014
Mean electromotive force in turbulent shear flow Urpin, V. Physical Review E, Vol. 65, Issue 2 https://doi.org/10.1103/PhysRevE.65.026301	journal	January 2002
Electromotive force and large-scale magnetic dynamo in a turbulent flow with a mean shear Rogachevskii, Igor; Kleeorin, Nathan Physical Review E, Vol. 68, Issue 3 https://doi.org/10.1103/PhysRevE.68.036301	journal	September 2003
Nonlinear theory of a “shear-current” effect and mean-field magnetic dynamos Rogachevskii, Igor; Kleeorin, Nathan Physical Review E, Vol. 70, Issue 4 https://doi.org/10.1103/PhysRevE.70.046310	journal	October 2004
Mean electromotive force due to turbulence of a conducting fluid in the presence of mean flow Rädler, Karl-Heinz; Stepanov, Rodion Physical Review E, Vol. 73, Issue 5 https://doi.org/10.1103/PhysRevE.73.056311	journal	May 2006
Shear dynamo problem: Quasilinear kinematic theory Sridhar, S.; Subramanian, Kandaswamy Physical Review E, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevE.79.045305	journal	April 2009
Transport coefficients for the shear dynamo problem at small Reynolds numbers Singh, Nishant K.; Sridhar, S. Physical Review E, Vol. 83, Issue 5 https://doi.org/10.1103/PhysRevE.83.056309	journal	May 2011
Generation of Magnetic Field by Combined Action of Turbulence and Shear Yousef, T. A.; Heinemann, T.; Schekochihin, A. A. Physical Review Letters, Vol. 100, Issue 18 https://doi.org/10.1103/PhysRevLett.100.184501	journal	May 2008
Large-Scale Magnetic Field Generation by Randomly Forced Shearing Waves Heinemann, T.; McWilliams, J. C.; Schekochihin, A. A. Physical Review Letters, Vol. 107, Issue 25 https://doi.org/10.1103/PhysRevLett.107.255004	journal	December 2011
Helicity-Flux-Driven α Effect in Laboratory and Astrophysical Plasmas Ebrahimi, F.; Bhattacharjee, A. Physical Review Letters, Vol. 112, Issue 12 https://doi.org/10.1103/PhysRevLett.112.125003	journal	March 2014
Generation of Large-Scale Magnetic Fields by Small-Scale Dynamo in Shear Flows Squire, J.; Bhattacharjee, A. Physical Review Letters, Vol. 115, Issue 17 https://doi.org/10.1103/PhysRevLett.115.175003	journal	October 2015
Self-consistent theory of mean-field electrodynamics Gruzinov, A. V.; Diamond, P. H. Physical Review Letters, Vol. 72, Issue 11 https://doi.org/10.1103/PhysRevLett.72.1651	journal	March 1994
New Dynamical Mean-Field Dynamo Theory and Closure Approach Blackman, Eric G.; Field, George B. Physical Review Letters, Vol. 89, Issue 26 https://doi.org/10.1103/PhysRevLett.89.265007	journal	December 2002
Nonlinear Current Helicity Fluxes in Turbulent Dynamos and Alpha Quenching Subramanian, Kandaswamy; Brandenburg, Axel Physical Review Letters, Vol. 93, Issue 20 https://doi.org/10.1103/PhysRevLett.93.205001	journal	November 2004
Localized magnetorotational instability and its role in the accretion disc dynamo Lesur, Geoffroy; Ogilvie, Gordon I. Monthly Notices of the Royal Astronomical Society, Vol. 391, Issue 3 https://doi.org/10.1111/j.1365-2966.2008.13993.x	journal	December 2008
A mean-field approach to the propagation of field patterns in stratified magnetorotational turbulence Gressel, Oliver Monthly Notices of the Royal Astronomical Society https://doi.org/10.1111/j.1365-2966.2010.16440.x	journal	March 2010
Scaling and intermittency in incoherent α-shear dynamo: Incoherent α-shear dynamos Mitra, Dhrubaditya; Brandenburg, Axel Monthly Notices of the Royal Astronomical Society, Vol. 420, Issue 3 https://doi.org/10.1111/j.1365-2966.2011.20190.x	journal	January 2012
Emergent mesoscale phenomena in magnetized accretion disc turbulence: Accretion disc turbulence Simon, Jacob B.; Beckwith, Kris; Armitage, Philip J. Monthly Notices of the Royal Astronomical Society, Vol. 422, Issue 3 https://doi.org/10.1111/j.1365-2966.2012.20835.x	journal	April 2012

Cited By (3)

Advances in mean-field dynamo theory and applications to astrophysical turbulence Brandenburg, Axel Journal of Plasma Physics, Vol. 84, Issue 4 https://doi.org/10.1017/s0022377818000806	journal	August 2018
Non-linear galactic dynamos and the magnetic Rädler effect Chamandy, Luke; Singh, Nishant K. Monthly Notices of the Royal Astronomical Society, Vol. 481, Issue 1 https://doi.org/10.1093/mnras/sty2301	journal	August 2018
Advances in mean-field dynamo theory and applications to astrophysical turbulence Brandenburg, Axel arXiv https://doi.org/10.48550/arxiv.1801.05384	text	January 2018

Similar Records

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

Journal Article · Sun Mar 13 20:00:00 EDT 2016 · Journal of Plasma Physics · OSTI ID:1259596

Generation of coherent magnetic fields in sheared inhomogeneous turbulence: No need for rotation?

Journal Article · Mon Feb 14 23:00:00 EST 2011 · Physics of Plasmas · OSTI ID:21535157

Coherent nonhelical shear dynamos driven by magnetic fluctuations at low Reynolds numbers

Journal Article · Tue Oct 27 20:00:00 EDT 2015 · The Astrophysical Journal (Online) · OSTI ID:1254733

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Electromotive force due to magnetohydrodynamic fluctuations in sheared rotating turbulence

Citation Formats

References (43)

Cited By (3)

Similar Records

Related Subjects