Decoupled Cascades of Kinetic and Magnetic Energy in Magnetohydrodynamic Turbulence

Bian, Xin; Aluie, Hussein

doi:10.1103/PhysRevLett.122.135101

Decoupled Cascades of Kinetic and Magnetic Energy in Magnetohydrodynamic Turbulence

Journal Article · Mon Apr 01 00:00:00 EDT 2019 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.122.135101· OSTI ID:1508838

Bian, Xin ^[1]; Aluie, Hussein ^[2]

Univ. of Rochester, NY (United States); Laboratory for Laser Energetics, University of Rochester
Univ. of Rochester, NY (United States)

Magnetic energy (ME) and kinetic energy (KE) in ideal incompressible MHD are not global invariants and, thus, it had 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 due to 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 mean ME and KE to cascade conservatively and at an equal rate, yielding a turbulent magnetic Prandtl number of unity over these scales.

View Accepted Manuscript (DOE)

Research Organization:: LBNL Materials Project; Univ. of California, Berkeley, CA (United States); Univ. of Rochester, NY (United States)

Sponsoring Organization:: USDOE; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)

Grant/Contract Number:: AC02-05CH11231; NA0003856; SC0014318; SC0019329

OSTI ID:: 1508838

Alternate ID(s):: OSTI ID: 1505243
OSTI ID: 1542918

Report Number(s):: 80NSSC18K0772; AC02-05CH11231; NA0003856; SC0014318; SC0019329; 2018-270, 1491, 2450

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 13 Vol. 122; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (55)

Large-Eddy Simulations of Magnetohydrodynamic Turbulence in Heliophysics and Astrophysics Miesch, Mark; Matthaeus, William; Brandenburg, Axel Space Science Reviews, Vol. 194, Issue 1-4 https://doi.org/10.1007/s11214-015-0190-7	journal	July 2015
Divergence-free-preserving high-order schemes for magnetohydrodynamics: An artificial magnetic resistivity method Kawai, Soshi Journal of Computational Physics, Vol. 251 https://doi.org/10.1016/j.jcp.2013.05.033	journal	October 2013
Locality of turbulent cascades Eyink, Gregory L. Physica D: Nonlinear Phenomena, Vol. 207, Issue 1-2 https://doi.org/10.1016/j.physd.2005.05.018	journal	July 2005
The breakdown of Alfvén’s theorem in ideal plasma flows: Necessary conditions and physical conjectures Eyink, Gregory L.; Aluie, Hussein Physica D: Nonlinear Phenomena, Vol. 223, Issue 1 https://doi.org/10.1016/j.physd.2006.08.009	journal	November 2006
Turbulence: The Legacy of A. N. Kolmogorov Frisch, Uriel https://doi.org/10.1017/CBO9781139170666	book	January 1996
Kinematic dynamo problem in a linear velocity field Zel'Dovich, Ya. B.; Ruzmaikin, A. A.; Molchanov, S. A. Journal of Fluid Mechanics, Vol. 144 https://doi.org/10.1017/S0022112084001488	journal	July 1984
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
Dynamical length scales for turbulent magnetized flows Politano, Hélène; Pouquet, Annick Geophysical Research Letters, Vol. 25, Issue 3 https://doi.org/10.1029/97GL03642	journal	February 1998
Stationarity of magnetohydrodynamic fluctuations in the solar wind Matthaeus, William H.; Goldstein, Melvyn L. Journal of Geophysical Research, Vol. 87, Issue A12 https://doi.org/10.1029/JA087iA12p10347	journal	January 1982
Flux-freezing breakdown in high-conductivity magnetohydrodynamic turbulence Eyink, Gregory; Vishniac, Ethan; Lalescu, Cristian Nature, Vol. 497, Issue 7450 https://doi.org/10.1038/nature12128	journal	May 2013
Turbulent resistivity evaluation in magnetorotational instability generated turbulence Lesur, G.; Longaretti, P. -Y. Astronomy & Astrophysics, Vol. 504, Issue 2 https://doi.org/10.1051/0004-6361/200912272	journal	July 2009
Turbulent resistivity driven by the magnetorotational instability Fromang, S.; Stone, J. M. Astronomy & Astrophysics, Vol. 507, Issue 1 https://doi.org/10.1051/0004-6361/200912752	journal	September 2009
Scaling properties of three-dimensional isotropic magnetohydrodynamic turbulence Biskamp, Dieter; Müller, Wolf-Christian Physics of Plasmas, Vol. 7, Issue 12 https://doi.org/10.1063/1.1322562	journal	December 2000
Dynamic gradient-diffusion subgrid models for incompressible magnetohydrodynamic turbulence Müller, Wolf-Christian; Carati, Daniele Physics of Plasmas, Vol. 9, Issue 3 https://doi.org/10.1063/1.1448498	journal	March 2002
Spectral Calculations of Isotropic Turbulence: Efficient Removal of Aliasing Interactions Patterson, G. S. Physics of Fluids, Vol. 14, Issue 11 https://doi.org/10.1063/1.1693365	journal	January 1971
Inertial-Range Spectrum of Hydromagnetic Turbulence Kraichnan, Robert H. Physics of Fluids, Vol. 8, Issue 7 https://doi.org/10.1063/1.1761412	journal	January 1965
Isotropic Turbulence and Inertial-Range Structure Kraichnan, Robert H. Physics of Fluids, Vol. 9, Issue 9 https://doi.org/10.1063/1.1761928	journal	January 1966
Localness of energy cascade in hydrodynamic turbulence. I. Smooth coarse graining Eyink, Gregory L.; Aluie, Hussein Physics of Fluids, Vol. 21, Issue 11 https://doi.org/10.1063/1.3266883	journal	November 2009
Localness of energy cascade in hydrodynamic turbulence. II. Sharp spectral filter Aluie, Hussein; Eyink, Gregory L. Physics of Fluids, Vol. 21, Issue 11 https://doi.org/10.1063/1.3266948	journal	November 2009
Quantifying effects of hyperviscosity on isotropic turbulence Spyksma, Kyle; Magcalas, Moriah; Campbell, Natalie Physics of Fluids, Vol. 24, Issue 12 https://doi.org/10.1063/1.4768809	journal	December 2012
The importance of electrothermal terms in Ohm's law for magnetized spherical implosions Davies, J. R.; Betti, R.; Chang, P. -Y. Physics of Plasmas, Vol. 22, Issue 11 https://doi.org/10.1063/1.4935286	journal	November 2015
A priori study of the subgrid energy transfers for small-scale dynamo in kinematic and saturation regimes Offermans, Gerardus Petrus; Biferale, Luca; Buzzicotti, Michele Physics of Plasmas, Vol. 25, Issue 12 https://doi.org/10.1063/1.5046842	journal	December 2018
Turbulent magnetic reconnection Matthaeus, W. H.; Lamkin, S. L. Physics of Fluids, Vol. 29, Issue 8 https://doi.org/10.1063/1.866004	journal	January 1986
Thermal disequilibration of ions and electrons by collisionless plasma turbulence Kawazura, Yohei; Barnes, Michael; Schekochihin, Alexander A. Proceedings of the National Academy of Sciences, Vol. 116, Issue 3 https://doi.org/10.1073/pnas.1812491116	journal	December 2018
Toward a theory of interstellar turbulence. 2: Strong alfvenic turbulence Goldreich, P.; Sridhar, S. The Astrophysical Journal, Vol. 438 https://doi.org/10.1086/175121	journal	January 1995
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
Reconnection in a Weakly Stochastic Field Lazarian, A.; Vishniac, Ethan T. The Astrophysical Journal, Vol. 517, Issue 2 https://doi.org/10.1086/307233	journal	June 1999
The Anisotropy of Magnetohydrodynamic Alfvenic Turbulence Cho, Jungyeon; Vishniac, Ethan T. The Astrophysical Journal, Vol. 539, Issue 1 https://doi.org/10.1086/309213	journal	August 2000
Spectra and Growth Rates of Fluctuating Magnetic Fields in the Kinematic Dynamo Theory with Large Magnetic Prandtl Numbers Schekochihin, Alexander A.; Boldyrev, Stanislav A.; Kulsrud, Russell M. The Astrophysical Journal, Vol. 567, Issue 2 https://doi.org/10.1086/338697	journal	March 2002
On the Spectrum of Magnetohydrodynamic Turbulence Boldyrev, Stanislav The Astrophysical Journal, Vol. 626, Issue 1 https://doi.org/10.1086/431649	journal	May 2005
The Turbulent Magnetic Prandtl Number of mhd Turbulence in Disks Guan, Xiaoyue; Gammie, Charles F. The Astrophysical Journal, Vol. 697, Issue 2 https://doi.org/10.1088/0004-637X/697/2/1901	journal	May 2009
The Large-Scale Magnetic Fields of Advection-Dominated Accretion Flows Cao, Xinwu The Astrophysical Journal, Vol. 737, Issue 2 https://doi.org/10.1088/0004-637X/737/2/94	journal	August 2011
Turbulent General Magnetic Reconnection Eyink, G. L. The Astrophysical Journal, Vol. 807, Issue 2 https://doi.org/10.1088/0004-637X/807/2/137	journal	July 2015
Heat flux effects in Ohm's law Haines, M. G. Plasma Physics and Controlled Fusion, Vol. 28, Issue 11 https://doi.org/10.1088/0741-3335/28/11/007	journal	November 1986
Coarse-grained incompressible magnetohydrodynamics: analyzing the turbulent cascades Aluie, Hussein New Journal of Physics, Vol. 19, Issue 2 https://doi.org/10.1088/1367-2630/aa5d2f	journal	February 2017
Spectral Scaling laws in Magnetohydrodynamic Turbulence Simulations and in the Solar wind Boldyrev, Stanislav; Carlos Perez, Jean; Borovsky, Joseph E. The Astrophysical Journal, Vol. 741, Issue 1 https://doi.org/10.1088/2041-8205/741/1/L19	journal	October 2011
Conservative Cascade of Kinetic Energy in Compressible Turbulence Aluie, Hussein; Li, Shengtai; Li, Hui The Astrophysical Journal, Vol. 751, Issue 2 https://doi.org/10.1088/2041-8205/751/2/L29	journal	May 2012
On the Parallel Spectrum in Magnetohydrodynamic Turbulence Beresnyak, Andrey The Astrophysical Journal, Vol. 801, Issue 1 https://doi.org/10.1088/2041-8205/801/1/L9	journal	February 2015
Hydromagnetic flows from accretion discs and the production of radio jets Blandford, R. D.; Payne, D. G. Monthly Notices of the Royal Astronomical Society, Vol. 199, Issue 4 https://doi.org/10.1093/mnras/199.4.883	journal	August 1982
von Kármán–Howarth equation for magnetohydrodynamics and its consequences on third-order longitudinal structure and correlation functions Politano, H.; Pouquet, A. Physical Review E, Vol. 57, Issue 1 https://doi.org/10.1103/PhysRevE.57.R21	journal	January 1998
Numerical measurements of the spectrum in magnetohydrodynamic turbulence Mason, Joanne; Cattaneo, Fausto; Boldyrev, Stanislav Physical Review E, Vol. 77, Issue 3 https://doi.org/10.1103/PhysRevE.77.036403	journal	March 2008
Forced magnetohydrodynamic turbulence in three dimensions using Taylor-Green symmetries Krstulovic, G.; Brachet, M. E.; Pouquet, A. Physical Review E, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevE.89.043017	journal	April 2014
Energy cascade and its locality in compressible magnetohydrodynamic turbulence Yang, Yan; Shi, Yipeng; Wan, Minping Physical Review E, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevE.93.061102	journal	June 2016
Inviscid criterion for decomposing scales Zhao, Dongxiao; Aluie, Hussein Physical Review Fluids, Vol. 3, Issue 5 https://doi.org/10.1103/PhysRevFluids.3.054603	journal	May 2018
Extracting the spectrum of a flow by spatial filtering Sadek, Mahmoud; Aluie, Hussein Physical Review Fluids, Vol. 3, Issue 12 https://doi.org/10.1103/PhysRevFluids.3.124610	journal	December 2018
Rapid Alignment of Velocity and Magnetic Field in Magnetohydrodynamic Turbulence Matthaeus, W. H.; Pouquet, A.; Mininni, P. D. Physical Review Letters, Vol. 100, Issue 8 https://doi.org/10.1103/PhysRevLett.100.085003	journal	February 2008
Hyperviscosity, Galerkin Truncation, and Bottlenecks in Turbulence Frisch, Uriel; Kurien, Susan; Pandit, Rahul Physical Review Letters, Vol. 101, Issue 14 https://doi.org/10.1103/PhysRevLett.101.144501	journal	September 2008
Scale Locality of Magnetohydrodynamic Turbulence Aluie, Hussein; Eyink, Gregory L. Physical Review Letters, Vol. 104, Issue 8 https://doi.org/10.1103/PhysRevLett.104.081101	journal	February 2010
Compressible Turbulence: The Cascade and its Locality Aluie, Hussein Physical Review Letters, Vol. 106, Issue 17 https://doi.org/10.1103/PhysRevLett.106.174502	journal	April 2011
Universal Nonlinear Small-Scale Dynamo Beresnyak, A. Physical Review Letters, Vol. 108, Issue 3 https://doi.org/10.1103/PhysRevLett.108.035002	journal	January 2012
Direct Evidence of the Transition from Weak to Strong Magnetohydrodynamic Turbulence Meyrand, Romain; Galtier, Sébastien; Kiyani, Khurom H. Physical Review Letters, Vol. 116, Issue 10 https://doi.org/10.1103/PhysRevLett.116.105002	journal	March 2016
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
Spectrum of Magnetohydrodynamic Turbulence Boldyrev, Stanislav Physical Review Letters, Vol. 96, Issue 11 https://doi.org/10.1103/PhysRevLett.96.115002	journal	March 2006
Forced Three-Dimensional Homogeneous Turbulence with Hyperviscosity Borue, V.; Orszag, S. A. Europhysics Letters (EPL), Vol. 29, Issue 9 https://doi.org/10.1209/0295-5075/29/9/006	journal	March 1995
Energy Dissipation and Landau Damping in two- and Three-Dimensional Plasma Turbulence Li, Tak Chu; Howes, Gregory G.; Klein, Kristopher G. The Astrophysical Journal, Vol. 832, Issue 2 https://doi.org/10.3847/2041-8205/832/2/L24	journal	November 2016

Cited By (4)

Three-dimensional local anisotropy of velocity fluctuations in the solar wind Verdini, Andrea; Grappin, R.; Alexandrova, O. Monthly Notices of the Royal Astronomical Society, Vol. 486, Issue 3 https://doi.org/10.1093/mnras/stz1041	journal	April 2019
Partial Invariants, Large-scale Dynamo Action, and the Inverse Transfer of Magnetic Helicity Rathmann, Nicholas M.; Ditlevsen, Peter D. The Astrophysical Journal, Vol. 887, Issue 1 https://doi.org/10.3847/1538-4357/ab5301	journal	December 2019
Do Androids Dream of Magnetic Fields? Using Neural Networks to Interpret the Turbulent Interstellar Medium Peek, J. E. G.; Burkhart, Blakesley The Astrophysical Journal, Vol. 882, Issue 1 https://doi.org/10.3847/2041-8213/ab3a9e	journal	September 2019
Three-dimensional local anisotropy of velocity fluctuations in the solar wind Verdini, Andrea; Grappin, Roland; Alexandrova, Olga arXiv https://doi.org/10.48550/arxiv.1904.04118	text	January 2019

Similar Records

Spatial scales and temporal scales in the theory of magnetohydrodynamic turbulence

Journal Article · Fri Jan 14 23:00:00 EST 2011 · Physics of Plasmas · OSTI ID:21532188

JOINT INVERSE CASCADE OF MAGNETIC ENERGY AND MAGNETIC HELICITY IN MHD TURBULENCE

Journal Article · Fri Jan 09 23:00:00 EST 2015 · Astrophysical Journal Letters · OSTI ID:22364654

Related Subjects

42 ENGINEERING

Decoupled Cascades of Kinetic and Magnetic Energy in Magnetohydrodynamic Turbulence

Citation Formats

References (55)

Cited By (4)

Similar Records

Related Subjects