Decoupled Cascades of Kinetic and Magnetic Energy in Magnetohydrodynamic Turbulence
Abstract
Magnetic energy (ME) and kinetic energy (KE) in ideal incompressible magnetohydrodynamics are not global invariants and, therefore, it has been justified to discuss only the cascade of their sum total energy. We provide a physical argument based on scale locality, along with compelling evidence that ME and KE budgets statistically decouple beyond a transitional “conversion” range. This arises because magnetic field-line stretching is a large-scale process which vanishes on average at intermediate and small scales within the inertial-inductive range, thereby allowing each of the mean ME and KE to cascade conservatively and at an equal rate, yielding a turbulent magnetic Prandtl number of unity over these scales.
- Authors:
-
- Univ. of Rochester, NY (United States)
- Publication Date:
- Research Org.:
- Univ. of Rochester, NY (United States); Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). LBNL Materials Project
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1508838
- Alternate Identifier(s):
- OSTI ID: 1505243; OSTI ID: 1542918
- Report Number(s):
- SC0014318; SC0019329; NA0003856; 80NSSC18K0772; AC02-05CH11231
Journal ID: ISSN 0031-9007; PRLTAO; 2018-270, 1491, 2450
- Grant/Contract Number:
- NA0003856; SC0014318; SC0019329; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 122; Journal Issue: 13; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING
Citation Formats
Bian, Xin, and Aluie, Hussein. Decoupled Cascades of Kinetic and Magnetic Energy in Magnetohydrodynamic Turbulence. United States: N. p., 2019.
Web. doi:10.1103/PhysRevLett.122.135101.
Bian, Xin, & Aluie, Hussein. Decoupled Cascades of Kinetic and Magnetic Energy in Magnetohydrodynamic Turbulence. United States. doi:10.1103/PhysRevLett.122.135101.
Bian, Xin, and Aluie, Hussein. Mon .
"Decoupled Cascades of Kinetic and Magnetic Energy in Magnetohydrodynamic Turbulence". United States. doi:10.1103/PhysRevLett.122.135101. https://www.osti.gov/servlets/purl/1508838.
@article{osti_1508838,
title = {Decoupled Cascades of Kinetic and Magnetic Energy in Magnetohydrodynamic Turbulence},
author = {Bian, Xin and Aluie, Hussein},
abstractNote = {Magnetic energy (ME) and kinetic energy (KE) in ideal incompressible magnetohydrodynamics are not global invariants and, therefore, it has been justified to discuss only the cascade of their sum total energy. We provide a physical argument based on scale locality, along with compelling evidence that ME and KE budgets statistically decouple beyond a transitional “conversion” range. This arises because magnetic field-line stretching is a large-scale process which vanishes on average at intermediate and small scales within the inertial-inductive range, thereby allowing each of the mean ME and KE to cascade conservatively and at an equal rate, yielding a turbulent magnetic Prandtl number of unity over these scales.},
doi = {10.1103/PhysRevLett.122.135101},
journal = {Physical Review Letters},
number = 13,
volume = 122,
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
Cited by: 5 works
Citation information provided by
Web of Science
Web of Science
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:
A priori study of the subgrid energy transfers for small-scale dynamo in kinematic and saturation regimes
journal, December 2018
- Offermans, Gerardus Petrus; Biferale, Luca; Buzzicotti, Michele
- Physics of Plasmas, Vol. 25, Issue 12
Numerical measurements of the spectrum in magnetohydrodynamic turbulence
journal, March 2008
- Mason, Joanne; Cattaneo, Fausto; Boldyrev, Stanislav
- Physical Review E, Vol. 77, Issue 3
Universal Nonlinear Small-Scale Dynamo
journal, January 2012
- Beresnyak, A.
- Physical Review Letters, Vol. 108, Issue 3
Localness of energy cascade in hydrodynamic turbulence. I. Smooth coarse graining
journal, November 2009
- Eyink, Gregory L.; Aluie, Hussein
- Physics of Fluids, Vol. 21, Issue 11
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
The importance of electrothermal terms in Ohm's law for magnetized spherical implosions
journal, November 2015
- Davies, J. R.; Betti, R.; Chang, P. -Y.
- Physics of Plasmas, Vol. 22, Issue 11
Advances in mean-field dynamo theory and applications to astrophysical turbulence
journal, August 2018
- Brandenburg, Axel
- Journal of Plasma Physics, Vol. 84, Issue 4
Thermal disequilibration of ions and electrons by collisionless plasma turbulence
journal, December 2018
- Kawazura, Yohei; Barnes, Michael; Schekochihin, Alexander A.
- Proceedings of the National Academy of Sciences, Vol. 116, Issue 3
Spectrum of Magnetohydrodynamic Turbulence
journal, March 2006
- Boldyrev, Stanislav
- Physical Review Letters, Vol. 96, Issue 11
Scaling properties of three-dimensional isotropic magnetohydrodynamic turbulence
journal, December 2000
- Biskamp, Dieter; Müller, Wolf-Christian
- Physics of Plasmas, Vol. 7, Issue 12
The Anisotropy of Magnetohydrodynamic Alfvenic Turbulence
journal, August 2000
- Cho, Jungyeon; Vishniac, Ethan T.
- The Astrophysical Journal, Vol. 539, Issue 1
Reconnection in a Weakly Stochastic Field
journal, June 1999
- Lazarian, A.; Vishniac, Ethan T.
- The Astrophysical Journal, Vol. 517, Issue 2
Dynamic gradient-diffusion subgrid models for incompressible magnetohydrodynamic turbulence
journal, March 2002
- Müller, Wolf-Christian; Carati, Daniele
- Physics of Plasmas, Vol. 9, Issue 3
Scale Locality of Magnetohydrodynamic Turbulence
journal, February 2010
- Aluie, Hussein; Eyink, Gregory L.
- Physical Review Letters, Vol. 104, Issue 8
Hydromagnetic flows from accretion discs and the production of radio jets
journal, August 1982
- Blandford, R. D.; Payne, D. G.
- Monthly Notices of the Royal Astronomical Society, Vol. 199, Issue 4
Compressible Turbulence: The Cascade and its Locality
journal, April 2011
- Aluie, Hussein
- Physical Review Letters, Vol. 106, Issue 17
Toward a theory of interstellar turbulence. 2: Strong alfvenic turbulence
journal, January 1995
- Goldreich, P.; Sridhar, S.
- The Astrophysical Journal, Vol. 438
Flux-freezing breakdown in high-conductivity magnetohydrodynamic turbulence
journal, May 2013
- Eyink, Gregory; Vishniac, Ethan; Lalescu, Cristian
- Nature, Vol. 497, Issue 7450
Conservative Cascade of Kinetic Energy in Compressible Turbulence
journal, May 2012
- Aluie, Hussein; Li, Shengtai; Li, Hui
- The Astrophysical Journal, Vol. 751, Issue 2
Dynamical length scales for turbulent magnetized flows
journal, February 1998
- Politano, Hélène; Pouquet, Annick
- Geophysical Research Letters, Vol. 25, 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
von Kármán–Howarth equation for magnetohydrodynamics and its consequences on third-order longitudinal structure and correlation functions
journal, January 1998
- Politano, H.; Pouquet, A.
- Physical Review E, Vol. 57, Issue 1
The Large-Scale Magnetic Fields of Advection-Dominated Accretion Flows
journal, August 2011
- Cao, Xinwu
- The Astrophysical Journal, Vol. 737, Issue 2
Heat flux effects in Ohm's law
journal, November 1986
- Haines, M. G.
- Plasma Physics and Controlled Fusion, Vol. 28, Issue 11
Turbulent resistivity driven by the magnetorotational instability
journal, September 2009
- Fromang, S.; Stone, J. M.
- Astronomy & Astrophysics, Vol. 507, Issue 1
Inviscid criterion for decomposing scales
journal, May 2018
- Zhao, Dongxiao; Aluie, Hussein
- Physical Review Fluids, Vol. 3, Issue 5
Spectral Scaling laws in Magnetohydrodynamic Turbulence Simulations and in the Solar wind
journal, October 2011
- Boldyrev, Stanislav; Carlos Perez, Jean; Borovsky, Joseph E.
- The Astrophysical Journal, Vol. 741, Issue 1
Energy Dissipation and Landau Damping in two- and Three-Dimensional Plasma Turbulence
journal, November 2016
- Li, Tak Chu; Howes, Gregory G.; Klein, Kristopher G.
- The Astrophysical Journal, Vol. 832, Issue 2
Locality of turbulent cascades
journal, July 2005
- Eyink, Gregory L.
- Physica D: Nonlinear Phenomena, Vol. 207, Issue 1-2
Turbulent resistivity evaluation in magnetorotational instability generated turbulence
journal, July 2009
- Lesur, G.; Longaretti, P. -Y.
- Astronomy & Astrophysics, Vol. 504, Issue 2
Direct Evidence of the Transition from Weak to Strong Magnetohydrodynamic Turbulence
journal, March 2016
- Meyrand, Romain; Galtier, Sébastien; Kiyani, Khurom H.
- Physical Review Letters, Vol. 116, Issue 10
Kinematic dynamo problem in a linear velocity field
journal, July 1984
- Zel'Dovich, Ya. B.; Ruzmaikin, A. A.; Molchanov, S. A.
- Journal of Fluid Mechanics, Vol. 144
Turbulent magnetic reconnection
journal, January 1986
- Matthaeus, W. H.; Lamkin, S. L.
- Physics of Fluids, Vol. 29, Issue 8
Energy cascade and its locality in compressible magnetohydrodynamic turbulence
journal, June 2016
- Yang, Yan; Shi, Yipeng; Wan, Minping
- Physical Review E, Vol. 93, Issue 6
Rapid Alignment of Velocity and Magnetic Field in Magnetohydrodynamic Turbulence
journal, February 2008
- Matthaeus, W. H.; Pouquet, A.; Mininni, P. D.
- Physical Review Letters, Vol. 100, Issue 8
Hyperviscosity, Galerkin Truncation, and Bottlenecks in Turbulence
journal, September 2008
- Frisch, Uriel; Kurien, Susan; Pandit, Rahul
- Physical Review Letters, Vol. 101, Issue 14
Localness of energy cascade in hydrodynamic turbulence. II. Sharp spectral filter
journal, November 2009
- Aluie, Hussein; Eyink, Gregory L.
- Physics of Fluids, Vol. 21, Issue 11
Turbulent General Magnetic Reconnection
journal, July 2015
- Eyink, G. L.
- The Astrophysical Journal, Vol. 807, Issue 2
Forced magnetohydrodynamic turbulence in three dimensions using Taylor-Green symmetries
journal, April 2014
- Krstulovic, G.; Brachet, M. E.; Pouquet, A.
- Physical Review E, Vol. 89, Issue 4
Spectral Calculations of Isotropic Turbulence: Efficient Removal of Aliasing Interactions
journal, January 1971
- Patterson, G. S.
- Physics of Fluids, Vol. 14, Issue 11
Large-Eddy Simulations of Magnetohydrodynamic Turbulence in Heliophysics and Astrophysics
journal, July 2015
- Miesch, Mark; Matthaeus, William; Brandenburg, Axel
- Space Science Reviews, Vol. 194, Issue 1-4
Inertial-Range Spectrum of Hydromagnetic Turbulence
journal, January 1965
- Kraichnan, Robert H.
- Physics of Fluids, Vol. 8, Issue 7
Quantifying effects of hyperviscosity on isotropic turbulence
journal, December 2012
- Spyksma, Kyle; Magcalas, Moriah; Campbell, Natalie
- Physics of Fluids, Vol. 24, Issue 12
Forced Three-Dimensional Homogeneous Turbulence with Hyperviscosity
journal, March 1995
- Borue, V.; Orszag, S. A.
- Europhysics Letters (EPL), Vol. 29, Issue 9
Coarse-grained incompressible magnetohydrodynamics: analyzing the turbulent cascades
journal, February 2017
- Aluie, Hussein
- New Journal of Physics, Vol. 19, Issue 2
On the Parallel Spectrum in Magnetohydrodynamic Turbulence
journal, February 2015
- Beresnyak, Andrey
- The Astrophysical Journal, Vol. 801, Issue 1
Stationarity of magnetohydrodynamic fluctuations in the solar wind
journal, January 1982
- Matthaeus, William H.; Goldstein, Melvyn L.
- Journal of Geophysical Research, Vol. 87, Issue A12
On the Spectrum of Magnetohydrodynamic Turbulence
journal, May 2005
- Boldyrev, Stanislav
- The Astrophysical Journal, Vol. 626, Issue 1
Isotropic Turbulence and Inertial-Range Structure
journal, January 1966
- Kraichnan, Robert H.
- Physics of Fluids, Vol. 9, Issue 9
The breakdown of Alfvén’s theorem in ideal plasma flows: Necessary conditions and physical conjectures
journal, November 2006
- Eyink, Gregory L.; Aluie, Hussein
- Physica D: Nonlinear Phenomena, Vol. 223, Issue 1
Divergence-free-preserving high-order schemes for magnetohydrodynamics: An artificial magnetic resistivity method
journal, October 2013
- Kawai, Soshi
- Journal of Computational Physics, Vol. 251
The Turbulent Magnetic Prandtl Number of mhd Turbulence in Disks
journal, May 2009
- Guan, Xiaoyue; Gammie, Charles F.
- The Astrophysical Journal, Vol. 697, Issue 2
Spectra and Growth Rates of Fluctuating Magnetic Fields in the Kinematic Dynamo Theory with Large Magnetic Prandtl Numbers
journal, March 2002
- Schekochihin, Alexander A.; Boldyrev, Stanislav A.; Kulsrud, Russell M.
- The Astrophysical Journal, Vol. 567, Issue 2
Extracting the spectrum of a flow by spatial filtering
journal, December 2018
- Sadek, Mahmoud; Aluie, Hussein
- Physical Review Fluids, Vol. 3, Issue 12
Works referencing / citing this record:
Three-dimensional local anisotropy of velocity fluctuations in the solar wind
journal, April 2019
- Verdini, Andrea; Grappin, R.; Alexandrova, O.
- Monthly Notices of the Royal Astronomical Society, Vol. 486, Issue 3
Partial Invariants, Large-scale Dynamo Action, and the Inverse Transfer of Magnetic Helicity
journal, December 2019
- Rathmann, Nicholas M.; Ditlevsen, Peter D.
- The Astrophysical Journal, Vol. 887, Issue 1
Do Androids Dream of Magnetic Fields? Using Neural Networks to Interpret the Turbulent Interstellar Medium
journal, September 2019
- Peek, J. E. G.; Burkhart, Blakesley
- The Astrophysical Journal, Vol. 882, Issue 1