Coarse-grained incompressible magnetohydrodynamics: analyzing the turbulent cascades

Aluie, Hussein

doi:10.1088/1367-2630/aa5d2f

Title: Coarse-grained incompressible magnetohydrodynamics: analyzing the turbulent cascades

Journal Article · Wed Feb 01 00:00:00 EST 2017 · New Journal of Physics

DOI:https://doi.org/10.1088/1367-2630/aa5d2f· OSTI ID:1437700

Aluie, Hussein

We formulate a coarse-graining approach to the dynamics of magnetohydrodynamic (MHD) fluids at a continuum of length-scales. In this methodology, effective equations are derived for the observable velocity and magnetic fields spatially-averaged at an arbitrary scale of resolution. The microscopic equations for the bare velocity and magnetic fields are renormalized by coarse-graining to yield macroscopic effective equations that contain both a subscale stress and a subscale electromotive force (EMF) generated by nonlinear interaction of eliminated fields and plasma motions. At large coarse-graining length-scales, the direct dissipation of invariants by microscopic mechanisms (such as molecular viscosity and Spitzer resistivity) is shown to be negligible. The balance at large scales is dominated instead by the subscale nonlinear terms, which can transfer invariants across scales, and are interpreted in terms of work concepts for energy and in terms of topological flux-linkage for the two helicities. An important application of this approach is to MHD turbulence, where the coarse-graining length ℓ lies in the inertial cascade range. We show that in the case of sufficiently rough velocity and/or magnetic fields, the nonlinear inter-scale transfer need not vanish and can persist to arbitrarily small scales. Although closed expressions are not available for subscale stress and subscale EMF, we derive rigorous upper bounds on the effective dissipation they produce in terms of scaling exponents of the velocity and magnetic fields. These bounds provide exact constraints on phenomenological theories of MHD turbulence in order to allow the nonlinear cascade of energy and cross-helicity. On the other hand, we show that the forward cascade of magnetic helicity to asymptotically small scales is impossible unless 3rd-order moments of either velocity or magnetic field become infinite.

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Research Organization:: Univ. of Rochester, NY (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA), Office of Defense Nuclear Security; USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: NA0001944; 20150568ER; SC0014318

OSTI ID:: 1437700

Alternate ID(s):: OSTI ID: 1356076; OSTI ID: 1358358

Journal Information:: New Journal of Physics, Journal Name: New Journal of Physics Vol. 19 Journal Issue: 2; ISSN 1367-2630

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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Cited by: 38 works

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References (99)

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
Sub-Kolmogorov-scale fluctuations in fluid turbulence Schumacher, J. Europhysics Letters (EPL), Vol. 80, Issue 5 https://doi.org/10.1209/0295-5075/80/54001	journal	October 2007
Imprint of Large-Scale Flows on Turbulence Alexakis, A.; Mininni, P. D.; Pouquet, A. Physical Review Letters, Vol. 95, Issue 26 https://doi.org/10.1103/PhysRevLett.95.264503	journal	December 2005
Onset and decay of two-dimensional magnetohydrodynamic turbulence with velocity–magnetic field correlation Grappin, R. Physics of Fluids, Vol. 29, Issue 8 https://doi.org/10.1063/1.865536	journal	January 1986
Energy dissipation without viscosity in ideal hydrodynamics I. Fourier analysis and local energy transfer Eyink, Gregory L. Physica D: Nonlinear Phenomena, Vol. 78, Issue 3-4 https://doi.org/10.1016/0167-2789(94)90117-1	journal	November 1994
Field and Charge Measurements in Quantum Electrodynamics Bohr, N.; Rosenfeld, L. Physical Review, Vol. 78, Issue 6 https://doi.org/10.1103/PhysRev.78.794	journal	June 1950
Onsager's conjecture on the energy conservation for solutions of Euler's equation Constantin, Peter; Weinan, E.; Titi, Edriss S. Communications in Mathematical Physics, Vol. 165, Issue 1 https://doi.org/10.1007/BF02099744	journal	October 1994
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
A Derivation of the Macroscopic Maxwell Equations Russakoff, G. American Journal of Physics, Vol. 38, Issue 10 https://doi.org/10.1119/1.1976000	journal	October 1970
Measuring intense rotation and dissipation in turbulent flows Zeff, Benjamin W.; Lanterman, Daniel D.; McAllister, Ryan Nature, Vol. 421, Issue 6919 https://doi.org/10.1038/nature01334	journal	January 2003
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
On the Dynamical Theory of Incompressible Viscous Fluids and the Determination of the Criterion Reynolds, O. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 186, Issue 0 https://doi.org/10.1098/rsta.1895.0004	journal	January 1895
Measurements of the turbulent energy dissipation rate Pearson, B. R.; Krogstad, P. -Å.; van de Water, W. Physics of Fluids, Vol. 14, Issue 3 https://doi.org/10.1063/1.1445422	journal	March 2002
Measurements of Photospheric and Chromospheric Magnetic Fields Lagg, Andreas; Lites, Bruce; Harvey, Jack Space Science Reviews, Vol. 210, Issue 1-4 https://doi.org/10.1007/s11214-015-0219-y	journal	December 2015
Large-scale flow effects, energy transfer, and self-similarity on turbulence Mininni, P. D.; Alexakis, A.; Pouquet, A. Physical Review E, Vol. 74, Issue 1 https://doi.org/10.1103/PhysRevE.74.016303	journal	July 2006
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
Atmospheric Diffusion Shown on a Distance-Neighbour Graph Richardson, L. F. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 110, Issue 756 https://doi.org/10.1098/rspa.1926.0043	journal	April 1926
Onsager and the theory of hydrodynamic turbulence Eyink, Gregory L.; Sreenivasan, Katepalli R. Reviews of Modern Physics, Vol. 78, Issue 1 https://doi.org/10.1103/RevModPhys.78.87	journal	January 2006
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
Scale decomposition in compressible turbulence Aluie, Hussein Physica D: Nonlinear Phenomena, Vol. 247, Issue 1 https://doi.org/10.1016/j.physd.2012.12.009	journal	March 2013
A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers Deardorff, James W. Journal of Fluid Mechanics, Vol. 41, Issue 2 https://doi.org/10.1017/S0022112070000691	journal	April 1970
Remarks on Singularities, Dimension and Energy Dissipation for Ideal Hydrodynamics and MHD Caflisch, Russel E.; Klapper, Isaac; Steele, Gregory Communications in Mathematical Physics, Vol. 184, Issue 2 https://doi.org/10.1007/s002200050067	journal	April 1997
Small-Scale Structures in Three-Dimensional Magnetohydrodynamic Turbulence Mininni, P. D.; Pouquet, A. G.; Montgomery, D. C. Physical Review Letters, Vol. 97, Issue 24 https://doi.org/10.1103/PhysRevLett.97.244503	journal	December 2006
Large eddy simulation of decaying magnetohydrodynamic turbulence with dynamic subgrid-modeling Agullo, O.; Müller, W. -C.; Knaepen, B. Physics of Plasmas, Vol. 8, Issue 7 https://doi.org/10.1063/1.1372337	journal	July 2001
Fundamentals of Plasma Physics Bellan, Paul M. Cambridge University Press https://doi.org/10.1017/CBO9780511807183	book	January 2006
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
Recent progress in astrophysical MHD Stone, James M.; Gardiner, Thomas A. Computer Physics Communications, Vol. 177, Issue 1-2 https://doi.org/10.1016/j.cpc.2007.02.027	journal	July 2007
Kinematic α-effect in isotropic turbulence simulations Sur, Sharanya; Brandenburg, Axel; Subramanian, Kandaswamy Monthly Notices of the Royal Astronomical Society: Letters, Vol. 385, Issue 1 https://doi.org/10.1111/j.1745-3933.2008.00423.x	journal	March 2008
Forced turbulence in large-eddy simulation of compressible magnetohydrodynamic turbulence Chernyshov, A. A.; Karelsky, K. V.; Petrosyan, A. S. Physics of Plasmas, Vol. 17, Issue 10 https://doi.org/10.1063/1.3491835	journal	October 2010
Energy transfers in forced MHD turbulence Carati, Daniele; Debliquy, Olivier; Knaepen, Bernard Journal of Turbulence, Vol. 7 https://doi.org/10.1080/14685240600774017	journal	January 2006
Turbulent cascades, transfer, and scale interactions in magnetohydrodynamics Alexakis, A.; Mininni, P. D.; Pouquet, A. New Journal of Physics, Vol. 9, Issue 8 https://doi.org/10.1088/1367-2630/9/8/298	journal	August 2007
The topological properties of magnetic helicity Berger, Mitchell A.; Field, George B. Journal of Fluid Mechanics, Vol. 147, Issue -1 https://doi.org/10.1017/S0022112084002019	journal	October 1984
Solar magnetic fields as revealed by Stokes polarimetry Stenflo, J. O. The Astronomy and Astrophysics Review, Vol. 21, Issue 1 https://doi.org/10.1007/s00159-013-0066-3	journal	September 2013
Turbulence noise Eyink, Gregory L. Journal of Statistical Physics, Vol. 83, Issue 5-6 https://doi.org/10.1007/BF02179551	journal	June 1996
Local energy transfer and nonlocal interactions in homogeneous, isotropic turbulence Domaradzki, J. Andrzej; Rogallo, Robert S. Physics of Fluids A: Fluid Dynamics, Vol. 2, Issue 3 https://doi.org/10.1063/1.857736	journal	March 1990
MHD simulations and astrophysical applications Gómez, Daniel O.; Mininni, Pablo D.; Dmitruk, Pablo Advances in Space Research, Vol. 35, Issue 5 https://doi.org/10.1016/j.asr.2005.02.099	journal	January 2005
Statistical hydrodynamics Onsager, L. Il Nuovo Cimento, Vol. 6, Issue S2 https://doi.org/10.1007/BF02780991	journal	March 1949
On Hydromagnetic Equilibrium Woltjer, L. Proceedings of the National Academy of Sciences, Vol. 44, Issue 9 https://doi.org/10.1073/pnas.44.9.833	journal	September 1958
Grid-Based Hydrodynamics in Astrophysical Fluid Flows Teyssier, Romain Annual Review of Astronomy and Astrophysics, Vol. 53, Issue 1 https://doi.org/10.1146/annurev-astro-082214-122309	journal	August 2015
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
Bihelical magnetic relaxation and large scale magnetic field growth Blackman, Eric G. Physics of Plasmas, Vol. 12, Issue 1 https://doi.org/10.1063/1.1822935	journal	January 2005
Finite Volume Methods for Hyperbolic Problems LeVeque, Randall J. https://doi.org/10.1017/CBO9780511791253	book	January 2002
General Relativistic Hydrodynamic Simulation of Accretion flow from a Stellar Tidal Disruption Shiokawa, Hotaka; Krolik, Julian H.; Cheng, Roseanne M. The Astrophysical Journal, Vol. 804, Issue 2 https://doi.org/10.1088/0004-637X/804/2/85	journal	May 2015
Turbulence, Magnetism, and Shear in Stellar Interiors Miesch, Mark S.; Toomre, Juri Annual Review of Fluid Mechanics, Vol. 41, Issue 1 https://doi.org/10.1146/annurev.fluid.010908.165215	journal	January 2009
Dynamics of decaying two‐dimensional magnetohydrodynamic turbulence Biskamp, D.; Welter, H. Physics of Fluids B: Plasma Physics, Vol. 1, Issue 10 https://doi.org/10.1063/1.859060	journal	October 1989
Locality properties of the energy flux in turbulence Domaradzki, J. Andrzej; Teaca, Bogdan; Carati, Daniele Physics of Fluids, Vol. 21, Issue 2 https://doi.org/10.1063/1.3081558	journal	February 2009
A substantial amount of hidden magnetic energy in the quiet Sun Bueno, J. Trujillo; Shchukina, N.; Ramos, A. Asensio Nature, Vol. 430, Issue 6997 https://doi.org/10.1038/nature02669	journal	July 2004
On the Spectrum of Magnetohydrodynamic Turbulence Boldyrev, Stanislav The Astrophysical Journal, Vol. 626, Issue 1 https://doi.org/10.1086/431649	journal	May 2005
Problems with kinematic mean field electrodynamics at high magnetic Reynolds numbers Cattaneo, F.; Hughes, D. W. Monthly Notices of the Royal Astronomical Society: Letters, Vol. 395, Issue 1 https://doi.org/10.1111/j.1745-3933.2009.00639.x	journal	May 2009
Resolution of magnetic flux tubes on the Sun Keller, C. U. Nature, Vol. 359, Issue 6393 https://doi.org/10.1038/359307a0	journal	September 1992
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
Local energy flux and the refined similarity hypothesis Eyink, Gregory L. Journal of Statistical Physics, Vol. 78, Issue 1-2 https://doi.org/10.1007/BF02183352	journal	January 1995
Hydromagnetic Dynamo Theory Elsasser, Walter M. Reviews of Modern Physics, Vol. 28, Issue 2 https://doi.org/10.1103/RevModPhys.28.135	journal	April 1956
The response of isotropic turbulence to isotropic and anisotropic forcing at the large scales Yeung, P. K.; Brasseur, James G. Physics of Fluids A: Fluid Dynamics, Vol. 3, Issue 5 https://doi.org/10.1063/1.857966	journal	May 1991
A Theorem on Force-Free Magnetic Fields Woltjer, L. Proceedings of the National Academy of Sciences, Vol. 44, Issue 6 https://doi.org/10.1073/pnas.44.6.489	journal	June 1958
Extreme events in computational turbulence Yeung, P. K.; Zhai, X. M.; Sreenivasan, Katepalli R. Proceedings of the National Academy of Sciences, Vol. 112, Issue 41 https://doi.org/10.1073/pnas.1517368112	journal	September 2015
Cascade of circulations in fluid turbulence Eyink, Gregory L. Physical Review E, Vol. 74, Issue 6 https://doi.org/10.1103/PhysRevE.74.066302	journal	December 2006
A First Course in Turbulence Tennekes, Henk; Lumley, John L. MIT Press https://doi.org/10.7551/mitpress/3014.001.0001		January 1972
Inertial ranges and resistive instabilities in two‐dimensional magnetohydrodynamic turbulence Politano, H.; Pouquet, A.; Sulem, P. L. Physics of Fluids B: Plasma Physics, Vol. 1, Issue 12 https://doi.org/10.1063/1.859051	journal	December 1989
The degree of knottedness of tangled vortex lines Moffatt, H. K. Journal of Fluid Mechanics, Vol. 35, Issue 1 https://doi.org/10.1017/S0022112069000991	journal	January 1969
Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box Kaneda, Yukio; Ishihara, Takashi; Yokokawa, Mitsuo Physics of Fluids, Vol. 15, Issue 2 https://doi.org/10.1063/1.1539855	journal	February 2003
Statistical Theory of Turbulence Taylor, G. I. Proceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, Vol. 151, Issue 873 https://doi.org/10.1098/rspa.1935.0158	journal	September 1935
Spectrum of Magnetohydrodynamic Turbulence Boldyrev, Stanislav Physical Review Letters, Vol. 96, Issue 11 https://doi.org/10.1103/PhysRevLett.96.115002	journal	March 2006
The renormalization group: Critical phenomena and the Kondo problem Wilson, Kenneth G. Reviews of Modern Physics, Vol. 47, Issue 4 https://doi.org/10.1103/RevModPhys.47.773	journal	October 1975
Energy Cascade in Large-Eddy Simulations of Turbulent Fluid Flows Leonard, A. Turbulent Diffusion in Environmental Pollution, Proceedings of a Symposium held at Charlottesville https://doi.org/10.1016/S0065-2687(08)60464-1	book	January 1975
Finite dissipation and intermittency in magnetohydrodynamics Mininni, P. D.; Pouquet, A. Physical Review E, Vol. 80, Issue 2 https://doi.org/10.1103/PhysRevE.80.025401	journal	August 2009
Colloquium: Magnetohydrodynamic turbulence and time scales in astrophysical and space plasmas Zhou, Ye; Matthaeus, W.; Dmitruk, P. Reviews of Modern Physics, Vol. 76, Issue 4 https://doi.org/10.1103/RevModPhys.76.1015	journal	December 2004
Possibility of an inverse cascade of magnetic helicity in magnetohydrodynamic turbulence Frisch, U.; Pouquet, A.; LÉOrat, J. Journal of Fluid Mechanics, Vol. 68, Issue 4 https://doi.org/10.1017/S002211207500122X	journal	April 1975
The Signature of Initial Conditions on Magnetohydrodynamic Turbulence Dallas, V.; Alexakis, A. The Astrophysical Journal, Vol. 788, Issue 2 https://doi.org/10.1088/2041-8205/788/2/L36	journal	June 2014
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
Decay of homogeneous, nearly isotropic turbulence behind active fractal grids Thormann, Adrien; Meneveau, Charles Physics of Fluids, Vol. 26, Issue 2 https://doi.org/10.1063/1.4865232	journal	February 2014
Fully Developed Anisotropic Hydromagnetic Turbulence in Interplanetary Space Dobrowolny, M.; Mangeney, A.; Veltri, P. Physical Review Letters, Vol. 45, Issue 2 https://doi.org/10.1103/PhysRevLett.45.144	journal	July 1980
Development of large eddy simulation for modeling of decaying compressible magnetohydrodynamic turbulence Chernyshov, A. A.; Karelsky, K. V.; Petrosyan, A. S. Physics of Fluids, Vol. 19, Issue 5 https://doi.org/10.1063/1.2728936	journal	May 2007
Dissipative anomalies in singular Euler flows Eyink, Gregory L. Physica D: Nonlinear Phenomena, Vol. 237, Issue 14-17 https://doi.org/10.1016/j.physd.2008.02.005	journal	August 2008
Degrees of locality of energy transfer in the inertial range Zhou, Ye Physics of Fluids A: Fluid Dynamics, Vol. 5, Issue 5 https://doi.org/10.1063/1.858593	journal	May 1993
Growth of correlations in magnetohydrodynamic turbulence Pouquet, A.; Meneguzzi, M.; Frisch, U. Physical Review A, Vol. 33, Issue 6 https://doi.org/10.1103/PhysRevA.33.4266	journal	June 1986
Rigorous new limits on magnetic helicity dissipation in the solar corona Berger, Mitchell A. Geophysical & Astrophysical Fluid Dynamics, Vol. 30, Issue 1-2 https://doi.org/10.1080/03091928408210078	journal	September 1984
Real-Space Renormalization Burkhardt, Theodore W.; van Leeuwen, J. M. J. Topics in Current Physics https://doi.org/10.1007/978-3-642-81825-7	book	January 1982
Berechnung der mittleren Lorentz-Feldstärke für ein elektrisch leitendes Medium in turbulenter, durch Coriolis-Kräfte beeinflußter Bewegung Steenbeck, M.; Krause, F.; Rädler, K. -H. Zeitschrift für Naturforschung A, Vol. 21, Issue 4 https://doi.org/10.1515/zna-1966-0401	journal	January 1966
Magnetohydrodynamic Turbulence Biskamp, Dieter https://doi.org/10.1017/CBO9780511535222	book	August 2009
Scale-Invariance and Turbulence Models for Large-Eddy Simulation Meneveau, Charles; Katz, Joseph Annual Review of Fluid Mechanics, Vol. 32, Issue 1 https://doi.org/10.1146/annurev.fluid.32.1.1	journal	January 2000
Relaxation of Toroidal Plasma and Generation of Reverse Magnetic Fields Taylor, J. B. Physical Review Letters, Vol. 33, Issue 19 https://doi.org/10.1103/PhysRevLett.33.1139	journal	November 1974
Nonlocal interactions in hydrodynamic turbulence at high Reynolds numbers: The slow emergence of scaling laws Mininni, P. D.; Alexakis, A.; Pouquet, A. Physical Review E, Vol. 77, Issue 3 https://doi.org/10.1103/PhysRevE.77.036306	journal	March 2008
Hydrodynamic and hydromagnetic energy spectra from large eddy simulations Haugen, Nils Erland L.; Brandenburg, Axel Physics of Fluids, Vol. 18, Issue 7 https://doi.org/10.1063/1.2222399	journal	July 2006
Realizability conditions for the turbulent stress tensor in large-eddy simulation Vreman, Bert; Geurts, Bernard; Kuerten, Hans Journal of Fluid Mechanics, Vol. 278 https://doi.org/10.1017/S0022112094003745	journal	November 1994
On the Inverse Cascade of Magnetic Helicity Alexakis, Alexandros; Mininni, Pablo D.; Pouquet, Annick The Astrophysical Journal, Vol. 640, Issue 1 https://doi.org/10.1086/500082	journal	March 2006
A Global Three-Dimensional Radiation Magneto-Hydrodynamic Simulation of Super-Eddington Accretion Disks Jiang, Yan-Fei; Stone, James M.; Davis, Shane W. The Astrophysical Journal, Vol. 796, Issue 2 https://doi.org/10.1088/0004-637X/796/2/106	journal	November 2014
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
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
Shell-to-shell energy transfer in magnetohydrodynamics. I. Steady state turbulence Alexakis, Alexandros; Mininni, Pablo D.; Pouquet, Annick Physical Review E, Vol. 72, Issue 4 https://doi.org/10.1103/PhysRevE.72.046301	journal	October 2005
An analysis of the energy transfer and the locality of nonlinear interactions in turbulence Domaradzki, J. Andrzej; Carati, Daniele Physics of Fluids, Vol. 19, Issue 8 https://doi.org/10.1063/1.2772248	journal	August 2007
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
Introduction to magnetic helicity Berger, Mitchell A. Plasma Physics and Controlled Fusion, Vol. 41, Issue 12B https://doi.org/10.1088/0741-3335/41/12B/312	journal	December 1999
Shell-to-shell energy transfer in magnetohydrodynamics. II. Kinematic dynamo Mininni, Pablo; Alexakis, Alexandros; Pouquet, Annick Physical Review E, Vol. 72, Issue 4 https://doi.org/10.1103/PhysRevE.72.046302	journal	October 2005
On the scaling of the turbulence energy dissipation rate Sreenivasan, K. R. Physics of Fluids, Vol. 27, Issue 5 https://doi.org/10.1063/1.864731	journal	January 1984
Turbulence: the filtering approach Germano, M. Journal of Fluid Mechanics, Vol. 238 https://doi.org/10.1017/S0022112092001733	journal	May 1992
Extragalactic magnetic fields Kronberg, P. P. Reports on Progress in Physics, Vol. 57, Issue 4 https://doi.org/10.1088/0034-4885/57/4/001	journal	April 1994
Magnetic fields in galaxies and beyond Zweibel, Ellen G.; Heiles, Carl Nature, Vol. 385, Issue 6612 https://doi.org/10.1038/385131a0	journal	January 1997
General relativistic MHD simulations of black hole accretion disks and jets Hawley, John F.; Beckwith, Kris; Krolik, Julian H. Astrophysics and Space Science, Vol. 311, Issue 1-3 https://doi.org/10.1007/s10509-007-9559-8	journal	July 2007

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