Kinetic-magnetic energy exchanges in rotating magnetohydrodynamic turbulence

References

• Zimmerman DS, Triana SA, Nataf H-C, et al. A turbulent, high magnetic Reynolds number experimental model of Earth's core. J Geophys Res. 2014;119(6):4538–4557. doi: 10.1002/2013JB010733
   Web of Science ®Google Scholar
• Verma MK. Anisotropy in Quasi-Static magnetohydrodynamic turbulence. Rep Prog Phys. 2017;80(8):087001. doi: 10.1088/1361-6633/aa6c82
   PubMed Web of Science ®Google Scholar
• Plunian F, Stepanov R. Cascades and dissipation ratio in rotating MHD turbulence at low magnetic Prandtl number. Phys Rev E. 2010;82(4):046311. doi: 10.1103/PhysRevE.82.046311
   Web of Science ®Google Scholar
• Finlay CC. Waves in the presence of magnetic fields, rotation, and convection. In: Cardin P, Cugliandolo L, editors. Dynamos. New York: Elsevier; 2008. p. 403–450. Chap. 8. (Lecture notes of the Les Houches summer school; LXXXVIII).
   Google Scholar
• Galtier S. Weak turbulence theory for rotating magnetohydrodynamics and planetary dynamos. J Fluid Mech. 2014;757:114–154. doi: 10.1017/jfm.2014.490
   Web of Science ®Google Scholar
• Braithwaite J, Spruit HC. Magnetic fields in non-convective regions of stars. R Soc Open Sci. 2017;4(2):160271. doi: 10.1098/rsos.160271
   PubMed Web of Science ®Google Scholar
• Favier B, Godeferd F, Cambon C. On the effect of rotation on magnetohydrodynamic turbulence at high magnetic Reynolds number. Geophys Astrophys Fluid Dyn. 2012;106(1):89–111. doi: 10.1080/03091929.2010.544655
   Web of Science ®Google Scholar
• Salhi A, Baklouti FS, Godeferd F, et al. Energy partition, scale by scale, in magnetic Archimedes Coriolis weak wave turbulence. Phys Rev E. 2017;95(2):023112. doi: 10.1103/PhysRevE.95.023112
   PubMed Web of Science ®Google Scholar
• Galtier S, Nazarenko SV, Newell AC, et al. A weak turbulence theory for incompressible magnetohydrodynamics. J Plasma Phys. 2000;63(5):447–488. doi: 10.1017/S0022377899008284
   Google Scholar
• Galtier S. Weak inertial-wave turbulence theory. Phys Rev E. 2003;68(1):015301. doi: 10.1103/PhysRevE.68.015301
   Web of Science ®Google Scholar
• Cambon C, Rubinstein R, Godeferd FS. Advances in wave turbulence: rapidly rotating flows. New J Phys. 2004;6(1):73. doi: 10.1088/1367-2630/6/1/073
   Google Scholar
• Bellet F, Godeferd FS, Scott JF, et al. Wave-turbulence in rapidly rotating flows. J Fluid Mech. 2006;562:83–121. doi: 10.1017/S0022112006000929
   Web of Science ®Google Scholar
• Nazarenko S. Wave turbulence. Berlin: Springer Verlag; 2011. (Lecture Notes in Physics).
   Google Scholar
• Perez JC, Mason J, Boldyrev S, et al. On the Energy Spectrum of Strong Magnetohydrodynamic Turbulence. Phys Rev X. 2012;2(4):041005.
   Web of Science ®Google Scholar
• Shebalin JV, Matthaeus WH, Montgomery D. Anisotropy in MHD turbulence due to a mean magnetic field. J Plasma Phys. 1983;29(3):525–547. doi: 10.1017/S0022377800000933
   Google Scholar
• Alexakis A. Two-dimensional behavior of three-dimensional magnetohydrodynamic flow with a strong guiding field. Phys Rev E. 2011;84(5):056330. doi: 10.1103/PhysRevE.84.056330
   Web of Science ®Google Scholar
• Gallet B, Doering CR. Exact two-dimensionalization of low-magnetic-Reynolds-number flows subject to a strong magnetic field. J Fluid Mech. 2015;773:154–177. doi: 10.1017/jfm.2015.232
   Web of Science ®Google Scholar
• Sundar S, Verma KM, Alexakis A, et al. Dynamic anisotropy in MHD turbulence induced by mean magnetic field. Phys Plasmas. 2017;24(2):022304. doi: 10.1063/1.4975609
   Web of Science ®Google Scholar
• Godeferd FS, Moisy F. Structure and dynamics of rotating turbulence: a review of recent experimental and numerical results. Appl Mech Rev. 2015;67(3):030802. doi: 10.1115/1.4029006
   Web of Science ®Google Scholar
• Cambon C, Mansour NN, Godeferd FS. Energy transfer in rotating turbulence. J Fluid Mech. 1997;337:303–332. doi: 10.1017/S002211209700493X
   Web of Science ®Google Scholar
• Biferale L, Bonaccorso F, Mazzitelli IM, et al. Coherent structures and extreme events in rotating multiphase turbulent flows. Phys Rev X. 2016;4:041036.
   Google Scholar
• Shebalin JV. Ideal homogeneous magnetohydrodynamic turbulence in the presence of rotation and a mean magnetic field. J Plasma Phys. 2006;72(4):507–524. doi: 10.1017/S0022377805004228
   Google Scholar
• Nornberg MD, Ji H, Schartman E, et al. Observation of magnetocoriolis waves in a liquid metal Taylor-Couette experiment. Phys Rev Lett. 2010;104(7):074501. doi: 10.1103/PhysRevLett.104.074501
   PubMed Web of Science ®Google Scholar
• Balbus SA, Hawley JF. A powerful local shear instability in weakly magnetized disks. I-Linear Anal Astrophys J. 1991;376:214–233. doi: 10.1086/170270
   Web of Science ®Google Scholar
• Salhi A, Lehner T, Godeferd F, et al. Magnetized rotating stratified shear waves. Phys Rev E. 2012;85(2):026301. doi: 10.1103/PhysRevE.85.026301
   Web of Science ®Google Scholar
• Lehnert B. The decay of magnetoturbulence in the presence of a magnetic field and Coriolis force. Q Appl Math. 1955;12(4):321–341. doi: 10.1090/qam/67648
   Google Scholar
• Moffatt HK. Field generation in electrically conducting fluids. Vol. 2. Cambridge/London/New York/Melbourne: Cambridge University Press; 1978. 5-1.
   Google Scholar
• Kraichnan RH. Inertial-Range spectrum of hydomagnetic turbulence. Phys Fluids. 1965;8(7):1385–1387. doi: 10.1063/1.1761412
   Web of Science ®Google Scholar
• Biskamp D. Nonlinear magnetohydrodynamics. Cambridge: CUP; 1993.
   Google Scholar
• Baerenzung J, Politano H, Ponty Y, et al. Spectral modeling of magnetohydrodynamic turbulent flows. Phys Rev E. 2008;78(2):026310. doi: 10.1103/PhysRevE.78.026310
   Web of Science ®Google Scholar
• Lesur G, Longaretti P-Y. Impact of dimensionless numbers on the efficiency of magnetorotational instability induced turbulent transport. Mon Not R Astron Soc. 2007;378(4):1471–1480. doi: 10.1111/j.1365-2966.2007.11888.x
   Web of Science ®Google Scholar
• Rogallo RS. NASA TM 81315. 1981 (unpublished).
   Google Scholar
• Salhi A, Jacobitz FG, Schneider K, et al. Nonlinear dynamics and anisotropic structure of rotating sheared turbulence. Phys Rev E. 2014;89(1):013020. doi: 10.1103/PhysRevE.89.013020
   Web of Science ®Google Scholar
• Khlifi A, Salhi A, Nasraoui S, et al. Spectral energy scaling in precessing turbulence. Phys Rev E. 2018;98(1):011102. doi: 10.1103/PhysRevE.98.011102
   PubMed Web of Science ®Google Scholar
• Sagaut P, Cambon C. Homogeneous turbulence dynamics. Cambridge: Cambridge University Press; 2008.
   Google Scholar
• Pouquet A. Turbulence, statistics and structures: an introduction. In: Vth European school in astrophysics. Plasma astrophysics. Berlin: Springer; 1996. p. 163–212. (Lecture Notes in Physics; 468).
   Google Scholar
• Galtier S, Politano H, Pouquet A. Self-similar energy decay in magnetohydrodynamic turbulence. Phys Rev Lett. 1997;79(15):2807–2810. doi: 10.1103/PhysRevLett.79.2807
   Web of Science ®Google Scholar
• Pouquet A, Rosenberg D, Stawarz JE, et al. Helicity dynamics, inverse and bi-directional cascades in fluid and MHD turbulence: a brief review. Earth Space Sci. 2019;6(2):351–369. doi: 10.1029/2018EA000432
   Google Scholar
• Muller WC, Biskamp D. Scaling properties of three-dimensional magnetohydrodynamic turbulence. Phys Rev Lett. 2000;84(3):475. doi: 10.1103/PhysRevLett.84.475
   PubMed Web of Science ®Google Scholar
• Companelli L. Scaling laws in magnetohydrodynamic turbulence. Phys Rev D. 2004;70(8):083009.
   Web of Science ®Google Scholar
• Banerjee R, Jedamzik K. Evolution of cosmic magnetic fields: from the very early universe, to recombination, to the present. Phys Rev D. 2004;70(12):123003.
   Web of Science ®Google Scholar
• Briard A, Gomez T. The decay of isotropic magnetohydrodynamics turbulence and the effects of cross-helicity. J Plasma Phys. 2018;84(1):905840110. doi: 10.1017/S0022377818000120
   Web of Science ®Google Scholar
• Montgomery D, Turner L. Anisotropic magnetohydrodynamic turbulence in a strong external magnetic field. Phys Fluids. 1981;24(5):825–831. doi: 10.1063/1.863455
   Web of Science ®Google Scholar
• Shebalin JV, Matthaeus WH, Montgomery D. Anisotropy in MHD turbulence due to a mean magnetic field. J Plasma Phys. 1983;29(3):525–547. doi: 10.1017/S0022377800000933
   Google Scholar
• Hossain M, Gray PC, Pontius DH, et al. Phenomenology for the decay of energy containing eddies in homogeneous MHD turbulence. Phys Fluids. 1985;7(11):2886–2904. doi: 10.1063/1.868665
   Google Scholar
• Matthaeus WH, Oughton S, Ghosh S, et al. Scaling of anisotropy in hydromagnetic turbulence. Phys Rev Lett. 1998;81(10):2056–2059. doi: 10.1103/PhysRevLett.81.2056
   Web of Science ®Google Scholar
• Cho J, Lazarian A, Vishniac ET. Simulations of magnetohydrodynamic turbulence in a strongly magnetized medium. Astrophys J. 2002;564(1):291–301. doi: 10.1086/324186
   Web of Science ®Google Scholar
• Verma MK. Statistical theory of magnetohydrodynamic turbulence: recent results. Phys Rep. 2004;401(5–6):229–380. doi: 10.1016/j.physrep.2004.07.007
   Google Scholar
• Bigot B, Galtier S, Politano H. Energy decay laws in strongly anisotropic magnetohydrodynamic turbulence. Phys Rev Lett. 2008;100(7):074502. doi: 10.1103/PhysRevLett.100.074502
   PubMed Web of Science ®Google Scholar
• Oughton S, Priest ER, Matthaeus WH. The influence of a mean magnetic field on three- dimensional magnetohydrodynamic turbulence. J Fluid Mech. 1994;280:95–117. doi: 10.1017/S0022112094002867
   Web of Science ®Google Scholar
• Bigot B, Galtier S, Politano H. Development of anisotropy in incompressible magnetohydrodynamic turbulence. Phys Rev E. 2008;78(6):066301. doi: 10.1103/PhysRevE.78.066301
   Web of Science ®Google Scholar
• Shirley JH, Fairbridge RW. Encyclopedia of planetary sciences. Vol. 1020. Berlin, Heidelberg: Springer-Verlag; 1997.
   Google Scholar
• Roberts PH, King EM. On the genesis of the Earth's magnetism. Rep Prog Phys. 2013;76(9):096801. doi: 10.1088/0034-4885/76/9/096801
   PubMed Web of Science ®Google Scholar
• Jones C. Planetary magnetic fields and fluid dynamos. Annu Rev Fluid Mech. 2011;43:583–614. doi: 10.1146/annurev-fluid-122109-160727
   Web of Science ®Google Scholar
• Calkins MA, Julien K, Tobias SM, et al. A multiscale dynamo model driven by quasi-geostrophic convection. J Fluid Mech. 2015;780:143–166. doi: 10.1017/jfm.2015.464
   Web of Science ®Google Scholar
• Jacquin L, Leuchter O, Cambon C, et al. Homogeneous turbulence in the presence of rotation. J Fluid Mech. 1990;220:1–52. doi: 10.1017/S0022112090003172
   Web of Science ®Google Scholar
• Morize C, Moisy F, Rabaud M. Decaying grid-generated turbulence in a rotating tank. Phys Fluids. 2005;17(9):095105. doi: 10.1063/1.2046710
   Web of Science ®Google Scholar
• van Bokhoven LJA, Cambon C, Liechtenstein L, et al. Refined vorticity statistics of decaying rotating three-dimensional turbulence. J Turbulence. 2008;9:115–127. doi: 10.1080/14685240701877271
   Google Scholar
• Teitelbaum T, Mininni PD. The decay of turbulence in rotating flows. Phys Fluids. 2011;23(6):065105. doi: 10.1063/1.3592325
   Web of Science ®Google Scholar
• Vorobev A, Zikanov O, Davidson PA, et al. Anisotropy of magnetohydrodynamic turbulence at low magnetic reynolds number. Phys Fluids. 2005;17(12):125105. doi: 10.1063/1.2140847
   Web of Science ®Google Scholar
• Reddy KS, Verma MK. Strong anisotropy in quasi- static magnetohydrodynamic turbulence for high interaction parameters. Phys Fluids. 2014;26(2):025109. doi: 10.1063/1.4864654
   Web of Science ®Google Scholar
• Kolesnikov YB, Tsinober AB. Experimental investigation of two-dimensional turbulence behind a grid. Fluid Dyn. 1976;9(4):621–624. doi: 10.1007/BF01031323
   Google Scholar
• Hossain M. Inverse energy cascades in three-dimensional turbulence. Phys Fluids B. 1991;3(3):511–514. doi: 10.1063/1.859900
   Google Scholar
• Verma MK, Reddy KS. Modeling quasi-static magnetohydrodynamic turbulence with variable energy flux. Phys Fluids. 2015;27(2):025114. doi: 10.1063/1.4913499
   Web of Science ®Google Scholar
• Favier B, Godeferd FS, Cambon C, et al. Quasi-static magnetohydrodynamic turbulence at high Reynolds number. J Fluid Mech. 2011;681:434–461. doi: 10.1017/jfm.2011.207
   Web of Science ®Google Scholar
• Mininni PD, Pouquet A. Helicity cascades in rotating turbulence. Phys Rev E. 2009;79(2):026304. doi: 10.1103/PhysRevE.79.026304
   Web of Science ®Google Scholar