Spontaneous transport barriers quench turbulent resistivity in two-dimensional magnetohydrodynamics
Abstract
This Rapid Communication identifies the physical mechanism for the quench of turbulent resistivity in two-dimensional magnetohydrodynamics. Without an imposed, ordered magnetic field, a multiscale, blob-and-barrier structure of magnetic potential forms spontaneously. Magnetic energy is concentrated in thin, linear barriers, located at the interstices between blobs. The barriers quench the transport and kinematic decay of magnetic energy. The local transport bifurcation underlying barrier formation is linked to the inverse cascade of $$\langle$$A$$^{2}$$$\rangle$$ and negative resistivity, which induce local bistability. For small-scale forcing, spontaneous layering of the magnetic potential occurs, with barriers located at the interstices between layers. This structure is effectively a magnetic staircase.
- Authors:
-
[1];
- Univ. of California, San Diego, CA (United States)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Univ. of California, San Diego, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
- OSTI Identifier:
- 1509686
- Alternate Identifier(s):
- OSTI ID: 1509760
- Grant/Contract Number:
- FG02-04ER54738
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review E
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 4; Journal ID: ISSN 2470-0045
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Fan, Xiang, Diamond, P. H., and Chacón, L. Spontaneous transport barriers quench turbulent resistivity in two-dimensional magnetohydrodynamics. United States: N. p., 2019.
Web. doi:10.1103/PhysRevE.99.041201.
Fan, Xiang, Diamond, P. H., & Chacón, L. Spontaneous transport barriers quench turbulent resistivity in two-dimensional magnetohydrodynamics. United States. doi:10.1103/PhysRevE.99.041201.
Fan, Xiang, Diamond, P. H., and Chacón, L. Mon .
"Spontaneous transport barriers quench turbulent resistivity in two-dimensional magnetohydrodynamics". United States. doi:10.1103/PhysRevE.99.041201. https://www.osti.gov/servlets/purl/1509686.
@article{osti_1509686,
title = {Spontaneous transport barriers quench turbulent resistivity in two-dimensional magnetohydrodynamics},
author = {Fan, Xiang and Diamond, P. H. and Chacón, L.},
abstractNote = {This Rapid Communication identifies the physical mechanism for the quench of turbulent resistivity in two-dimensional magnetohydrodynamics. Without an imposed, ordered magnetic field, a multiscale, blob-and-barrier structure of magnetic potential forms spontaneously. Magnetic energy is concentrated in thin, linear barriers, located at the interstices between blobs. The barriers quench the transport and kinematic decay of magnetic energy. The local transport bifurcation underlying barrier formation is linked to the inverse cascade of $\langle$A$^{2}$$\rangle$ and negative resistivity, which induce local bistability. For small-scale forcing, spontaneous layering of the magnetic potential occurs, with barriers located at the interstices between layers. This structure is effectively a magnetic staircase.},
doi = {10.1103/PhysRevE.99.041201},
journal = {Physical Review E},
number = 4,
volume = 99,
place = {United States},
year = {2019},
month = {4}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
On Cross-Phase and the Quenching of the Turbulent Diffusion of Magnetic Fields in Two Dimensions
journal, April 2008
- Keating, Shane R.; Silvers, L. J.; Diamond, P. H.
- The Astrophysical Journal, Vol. 678, Issue 2
The Decay of a weak Large-Scale Magnetic Field in Two-Dimensional Turbulence
journal, May 2016
- Kondić, Todor; Hughes, David W.; Tobias, Steven M.
- The Astrophysical Journal, Vol. 823, Issue 2
β-Plane Magnetohydrodynamic Turbulence in the Solar Tachocline
journal, September 2007
- Tobias, Steven M.; Diamond, Patrick H.; Hughes, David W.
- The Astrophysical Journal, Vol. 667, Issue 1
Turbulence in binary fluid mixtures
journal, June 1981
- Ruiz, Ricardo; Nelson, David R.
- Physical Review A, Vol. 23, Issue 6
Nonlinear restrictions on dynamo action
journal, July 1992
- Vainshtein, Samuel I.; Cattaneo, Fausto
- The Astrophysical Journal, Vol. 393
On two-dimensional magnetohydrodynamic turbulence
journal, September 1978
- Pouquet, A.
- Journal of Fluid Mechanics, Vol. 88, Issue 01
Suppression of turbulent transport by a weak magnetic field
journal, July 1991
- Cattaneo, Fausto; Vainshtein, Samuel I.
- The Astrophysical Journal, Vol. 376
Reconnection in a Weakly Stochastic Field
journal, June 1999
- Lazarian, A.; Vishniac, Ethan T.
- The Astrophysical Journal, Vol. 517, Issue 2
Turbulent Diffusion of Magnetic Fields in Two-Dimensional Magnetohydrodynamic Turbulence with Stable Stratification
journal, November 2007
- Keating, Shane R.; Diamond, P. H.
- Physical Review Letters, Vol. 99, Issue 22
On the effects of a weak magnetic field on turbulent transport
journal, October 1994
- Cattaneo, F.
- The Astrophysical Journal, Vol. 434
Phase Dynamics Criterion for Fast Relaxation of High-Confinement-Mode Plasmas
journal, February 2014
- Xi, P. W.; Xu, X. Q.; Diamond, P. H.
- Physical Review Letters, Vol. 112, Issue 8
How mesoscopic staircases condense to macroscopic barriers in confined plasma turbulence
journal, November 2016
- Ashourvan, Arash; Diamond, P. H.
- Physical Review E, Vol. 94, Issue 5
Nonlinear turbulent magnetic diffusion and effective drift velocity of a large-scale magnetic field in two-dimensional magnetohydrodynamic turbulence
journal, June 2007
- Kleeorin, Nathan; Rogachevskii, Igor
- Physical Review E, Vol. 75, Issue 6
An overview of the statistical properties of two-dimensional turbulence in fluids with particles, conducting fluids, fluids with polymer additives, binary-fluid mixtures, and superfluids
journal, November 2017
- Pandit, Rahul; Banerjee, Debarghya; Bhatnagar, Akshay
- Physics of Fluids, Vol. 29, Issue 11
On two-dimensional magnetohydrodynamic turbulence
journal, July 2001
- Biskamp, D.; Schwarz, E.
- Physics of Plasmas, Vol. 8, Issue 7
On the choice of boundary conditions when studying the turbulent diffusion of magnetic fields
journal, April 2006
- Silvers, L. J.
- Monthly Notices of the Royal Astronomical Society, Vol. 367, Issue 3
Dynamics of interfaces and layers in a stratified turbulent fluid
journal, January 1998
- Balmforth, N. J.; Llewellyn Smith, Stefan G.; Young, W. R.
- Journal of Fluid Mechanics, Vol. 355
Cascades and spectra of a turbulent spinodal decomposition in two-dimensional symmetric binary liquid mixtures
journal, September 2016
- Fan, Xiang; Diamond, P. H.; Chacón, L.
- Physical Review Fluids, Vol. 1, Issue 5
On the emergence of macroscopic transport barriers from staircase structures
journal, January 2017
- Ashourvan, Arash; Diamond, P. H.
- Physics of Plasmas, Vol. 24, Issue 1
Dynamical Quenching of the α 2 Dynamo
journal, June 2002
- Field, George B.; Blackman, Eric G.
- The Astrophysical Journal, Vol. 572, Issue 1
Vortex disruption by magnetohydrodynamic feedback
journal, November 2017
- Mak, J.; Griffiths, S. D.; Hughes, D. W.
- Physical Review Fluids, Vol. 2, Issue 11
Turbulent resistivity in wavy two-dimensional magnetohydrodynamic turbulence
journal, January 2008
- Keating, Shane R.; Diamond, P. H.
- Journal of Fluid Mechanics, Vol. 595
A numerical study of the alpha model for two-dimensional magnetohydrodynamic turbulent flows
journal, March 2005
- Mininni, Pablo D.; Montgomery, David C.; Pouquet, Annick G.
- Physics of Fluids, Vol. 17, Issue 3
Nonlinear mean field electrodynamics of turbulent dynamos
journal, May 1996
- Gruzinov, A. V.; Diamond, P. H.
- Physics of Plasmas, Vol. 3, Issue 5
Consistent Theory of Turbulent Transport in Two-Dimensional Magnetohydrodynamics
journal, March 2006
- Kim, Eun-jin
- Physical Review Letters, Vol. 96, Issue 8
On turbulent diffusion of magnetic fields and the loss of magnetic flux from stars
journal, July 1991
- Vainshtein, Samuel I.; Rosner, Robert
- The Astrophysical Journal, Vol. 376
Dynamic effects of a magnetic field on diffusion in a chaotic flow
journal, January 2005
- Silvers, L. J.
- Physics Letters A, Vol. 334, Issue 5-6
The impact of pedestal turbulence and electron inertia on edge-localized-mode crashes
journal, May 2014
- Xi, P. W.; Xu, X. Q.; Diamond, P. H.
- Physics of Plasmas, Vol. 21, Issue 5
A 2D high-β Hall MHD implicit nonlinear solver
journal, July 2003
- Chacón, L.; Knoll, D. A.
- Journal of Computational Physics, Vol. 188, Issue 2
Formation and evolution of target patterns in Cahn-Hilliard flows
journal, October 2017
- Fan, Xiang; Diamond, P. H.; Chacón, L.
- Physical Review E, Vol. 96, 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
Self-consistent theory of mean-field electrodynamics
journal, March 1994
- Gruzinov, A. V.; Diamond, P. H.
- Physical Review Letters, Vol. 72, Issue 11
An Implicit, Nonlinear Reduced Resistive MHD Solver
journal, May 2002
- Chacón, L.; Knoll, D. A.; Finn, J. M.
- Journal of Computational Physics, Vol. 178, Issue 1
CHNS: A case study of turbulence in elastic media
journal, May 2018
- Fan, Xiang; Diamond, P. H.; Chacón, L.
- Physics of Plasmas, Vol. 25, Issue 5
Fast Magnetic Reconnection and Spontaneous Stochasticity
journal, November 2011
- Eyink, Gregory L.; Lazarian, A.; Vishniac, E. T.
- The Astrophysical Journal, Vol. 743, Issue 1