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Volumn 2, Issue 4, 2012, Pages

On the energy spectrum of strong magnetohydrodynamic turbulence

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY SPECTRA; GUIDE FIELD; HIGH RESOLUTION; INERTIAL RANGES; KOLMOGOROV CONSTANT; MAGNETOHYDRODYNAMIC TURBULENCE; MAGNETOHYDRODYNAMICS TURBULENCES; MESH POINTS; NUMERICAL RESOLUTION; PHENOMENOLOGICAL MODELS; SCALE-DEPENDENT DYNAMICS; STATISTICAL SAMPLES; STEADY STATE;

EID: 84872382928     PISSN: None     EISSN: 21603308     Source Type: Journal    
DOI: 10.1103/PhysRevX.2.041005     Document Type: Article
Times cited : (128)

References (61)
  • 1
    • 11944272743 scopus 로고
    • Electron Density Power Spectrum in the Local Interstellar Medium
    • J.W. Armstrong, B. J. Rickett, and S. R. Spangler, Electron Density Power Spectrum in the Local Interstellar Medium, Astrophys. J. 443, 209 (1995).
    • (1995) Astrophys. J , vol.443 , pp. 209
    • Armstrong, J.W.1    Rickett, B.J.2    Spangler, S.R.3
  • 3
    • 70549102395 scopus 로고    scopus 로고
    • The Turbulent Heating Rate in Strong Magnetohydrodynamic Turbulence with Nonzero Cross Helicity
    • B. D. G. Chandran, E. Quataert, G. G. Howes, J.V. Hollweg, and W. Dorland, The Turbulent Heating Rate in Strong Magnetohydrodynamic Turbulence with Nonzero Cross Helicity, Astrophys. J. 701, 652 (2009).
    • (2009) Astrophys. J , vol.701 , pp. 652
    • Chandran, B.D.G.1    Quataert, E.2    Howes, G.G.3    Hollweg, J.V.4    Dorland, W.5
  • 4
    • 78149240942 scopus 로고    scopus 로고
    • Perpendicular Ion Heating by Low-Frequency Alfvén-Wave Turbulence in the Solar Wind
    • B. D. G. Chandran, B. Li, B. N. Rogers, E. Quataert, and K. Germaschewski, Perpendicular Ion Heating by Low-Frequency Alfvén-Wave Turbulence in the Solar Wind, Astrophys. J. 720, 503 (2010).
    • (2010) Astrophys. J , vol.720 , pp. 503
    • Chandran, B.D.G.1    Li, B.2    Rogers, B.N.3    Quataert, E.4    Germaschewski, K.5
  • 6
    • 33644799466 scopus 로고
    • Inertial-Range SpectrumofHydromagnetic Turbulence
    • R. H.Kraichnan, Inertial-Range SpectrumofHydromagnetic Turbulence, Phys. Fluids 8, 1385 (1965).
    • (1965) Phys. Fluids , vol.8 , pp. 1385
    • Kraichnan, R.H.1
  • 7
    • 0042529727 scopus 로고    scopus 로고
    • Scaling of Anisotropic Spectra due to the Weak Interaction of Shear-Alfvén Wave Packets
    • C. S. Ng and A. Bhattacharjee, Scaling of Anisotropic Spectra due to the Weak Interaction of Shear-Alfvén Wave Packets, Phys. Plasmas 4, 605 (1997).
    • (1997) Phys. Plasmas , vol.4 , pp. 605
    • Ng, C.S.1    Bhattacharjee, A.2
  • 9
    • 23044530935 scopus 로고    scopus 로고
    • Weak Magnetohydrodynamic Turbulence of a Magnetized Plasma
    • E. A. Kuznetsov, Weak Magnetohydrodynamic Turbulence of a Magnetized Plasma, J. Exp. Theor. Phys. 93, 1052 (2001).
    • (2001) J. Exp. Theor. Phys , vol.93 , pp. 1052
    • Kuznetsov, E.A.1
  • 11
    • 0242407378 scopus 로고    scopus 로고
    • Imbalanced Weak Magnetohydrodynamic Turbulence
    • Y. Lithwick and P. Goldreich, Imbalanced Weak Magnetohydrodynamic Turbulence, Astrophys. J. 582, 1220 (2003).
    • (2003) Astrophys. J , vol.582 , pp. 1220
    • Lithwick, Y.1    Goldreich, P.2
  • 12
    • 33751568534 scopus 로고    scopus 로고
    • Extended Spectral Scaling Laws for Shear-Alfvén Wave Turbulence
    • S. Galtier and B. D. G. Chandran, Extended Spectral Scaling Laws for Shear-Alfvén Wave Turbulence, Phys. Plasmas 13, 114505 (2006).
    • (2006) Phys. Plasmas , vol.13 , pp. 114505
    • Galtier, S.1    Chandran, B.D.G.2
  • 13
    • 57149083065 scopus 로고    scopus 로고
    • Weakly TurbulentMagnetohydrodynamic Waves inCompressibleLow- Plasmas
    • B. D. G.Chandran, Weakly TurbulentMagnetohydrodynamic Waves inCompressibleLow- Plasmas, Phys.Rev.Lett. 101, 235004 (2008).
    • (2008) Phys. Rev. Lett , vol.101 , pp. 235004
    • Chandran, B.D.G.1
  • 14
    • 72649101079 scopus 로고    scopus 로고
    • Spectrum of Weak Magnetohydrodynamic Turbulence
    • S. Boldyrev and J. C. Perez, Spectrum of Weak Magnetohydrodynamic Turbulence, Phys. Rev. Lett. 103, 225001 (2009).
    • (2009) Phys. Rev. Lett , vol.103 , pp. 225001
    • Boldyrev, S.1    Perez, J.C.2
  • 15
    • 0020767114 scopus 로고
    • Anisotropy in MHD Turbulence due to a Mean Magnetic Field
    • J.V. Shebalin, W. H. Matthaeus, and D. Montgomery, Anisotropy in MHD Turbulence due to a Mean Magnetic Field, J. Plasma Phys. 29, 525 (1983).
    • (1983) J. Plasma Phys , vol.29 , pp. 525
    • Shebalin, J.V.1    Matthaeus, W.H.2    Montgomery, D.3
  • 16
    • 0035919399 scopus 로고    scopus 로고
    • Simulations of Incompressible Magnetohydrodynamic Turbulence
    • J. Maron and P. Goldreich, Simulations of Incompressible Magnetohydrodynamic Turbulence, Astrophys. J. 554, 1175 (2001).
    • (2001) Astrophys. J , vol.554 , pp. 1175
    • Maron, J.1    Goldreich, P.2
  • 17
    • 0035835568 scopus 로고    scopus 로고
    • Random Scattering and Anisotropic Turbulence of Shear Alfvén Wave Packets
    • A. Bhattacharjee and C. S. Ng, Random Scattering and Anisotropic Turbulence of Shear Alfvén Wave Packets, Astrophys. J. 548, 318 (2001).
    • (2001) Astrophys. J , vol.548 , pp. 318
    • Bhattacharjee, A.1    Ng, C.S.2
  • 18
    • 0036569042 scopus 로고    scopus 로고
    • Evidence for Weak MHD Turbulence in the Middle Magnetosphere of Jupiter
    • J. Saur, H. Politano, A. Pouquet, and W. H. Matthaeus, Evidence for Weak MHD Turbulence in the Middle Magnetosphere of Jupiter, Astron. Astrophys. 386, 699 (2002).
    • (2002) Astron. Astrophys , vol.386 , pp. 699
    • Saur, J.1    Politano, H.2    Pouquet, A.3    Matthaeus, W.H.4
  • 19
    • 33646487761 scopus 로고    scopus 로고
    • Anisotropic Weak Turbulence of Alfvén Waves in Collisionless Astrophysical Plasmas
    • Q. Luo and D. Melrose, Anisotropic Weak Turbulence of Alfvén Waves in Collisionless Astrophysical Plasmas, Mon. Not. R. Astron. Soc. 368, 1151 (2006).
    • (2006) Mon. Not. R. Astron. Soc , vol.368 , pp. 1151
    • Luo, Q.1    Melrose, D.2
  • 20
    • 0000402096 scopus 로고
    • Fully Developed Anisotropic Hydromagnetic Turbulence in Interplanetary Space
    • M. Dobrowolny, A. Mangeney, and P. Veltri, Fully Developed Anisotropic Hydromagnetic Turbulence in Interplanetary Space, Phys. Rev. Lett. 45, 144 (1980).
    • (1980) Phys. Rev. Lett , vol.45 , pp. 144
    • Dobrowolny, M.1    Mangeney, A.2    Veltri, P.3
  • 21
    • 0002131446 scopus 로고
    • Dependence of MHD Turbulence Spectra on the Velocity Field-Magnetic Field Correlation
    • R. Grappin, J. Leorat, and A. Pouquet, Dependence of MHD Turbulence Spectra on the Velocity Field-Magnetic Field Correlation, Astron. Astrophys. 126, 51 (1983).
    • (1983) Astron. Astrophys , vol.126 , pp. 51
    • Grappin, R.1    Leorat, J.2    Pouquet, A.3
  • 22
    • 0029690493 scopus 로고    scopus 로고
    • A Sparse-Mode Spectral Method for the Simulation of Turbulent Flows
    • M. Meneguzzi, A Sparse-Mode Spectral Method for the Simulation of Turbulent Flows, J. Comput. Phys. 123, 32 (1996).
    • (1996) J. Comput. Phys , vol.123 , pp. 32
    • Meneguzzi, M.1
  • 23
    • 22544476816 scopus 로고    scopus 로고
    • On the Spectrum of Magnetohydrodynamic Turbulence
    • S. Boldyrev, On the Spectrum of Magnetohydrodynamic Turbulence, Astrophys. J. Lett. 626, L37 (2005).
    • (2005) Astrophys. J. Lett , vol.626
    • Boldyrev, S.1
  • 24
    • 33645055936 scopus 로고    scopus 로고
    • Spectrum of Magnetohydrodynamic Turbulence
    • S. Boldyrev, Spectrum of Magnetohydrodynamic Turbulence, Phys. Rev. Lett. 96, 115002 (2006).
    • (2006) Phys. Rev. Lett , vol.96 , pp. 115002
    • Boldyrev, S.1
  • 25
    • 33845800313 scopus 로고    scopus 로고
    • Dynamic Alignment in Driven Magnetohydrodynamic Turbulence
    • J. Mason, F. Cattaneo, and S. Boldyrev, Dynamic Alignment in Driven Magnetohydrodynamic Turbulence, Phys. Rev. Lett. 97, 255002 (2006).
    • (2006) Phys. Rev. Lett , vol.97 , pp. 255002
    • Mason, J.1    Cattaneo, F.2    Boldyrev, S.3
  • 26
    • 17144415153 scopus 로고    scopus 로고
    • Colloquium: Magnetohydrodynamic Turbulence and Time Scales in Astrophysical and Space Plasmas
    • Y. Zhou, W. H. Matthaeus, and P. Dmitruk, Colloquium: Magnetohydrodynamic Turbulence and Time Scales in Astrophysical and Space Plasmas, Rev. Mod. Phys. 76, 1015 (2004).
    • (2004) Rev. Mod. Phys , vol.76
    • Zhou, Y.1    Matthaeus, W.H.2    Dmitruk, P.3
  • 27
    • 40849098979 scopus 로고    scopus 로고
    • Rapid Alignment of Velocity and Magnetic Field in Magnetohydrodynamic Turbulence
    • W. H. Matthaeus, A. Pouquet, P. D. Mininni, P. Dmitruk, and B. Breech, Rapid Alignment of Velocity and Magnetic Field in Magnetohydrodynamic Turbulence, Phys. Rev. Lett. 100, 085003 (2008).
    • (2008) Phys. Rev. Lett , vol.100 , pp. 085003
    • Matthaeus, W.H.1    Pouquet, A.2    Mininni, P.D.3    Dmitruk, P.4    Breech, B.5
  • 28
    • 59149087635 scopus 로고    scopus 로고
    • Role of Cross-Helicity in Magnetohydrodynamic Turbulence
    • J. C. Perez and S. Boldyrev, Role of Cross-Helicity in Magnetohydrodynamic Turbulence, Phys. Rev. Lett. 102, 025003 (2009).
    • (2009) Phys. Rev. Lett , vol.102 , pp. 025003
    • Perez, J.C.1    Boldyrev, S.2
  • 29
    • 72649084540 scopus 로고    scopus 로고
    • Dynamic Alignment and Exact Scaling Laws in Magnetohydrodynamic Turbulence
    • S. Boldyrev, J. Mason, and F. Cattaneo, Dynamic Alignment and Exact Scaling Laws in Magnetohydrodynamic Turbulence, Astrophys. J. Lett. 699, L39 (2009).
    • (2009) Astrophys. J. Lett , vol.699
    • Boldyrev, S.1    Mason, J.2    Cattaneo, F.3
  • 30
    • 11944270119 scopus 로고
    • Toward a Theory of Interstellar Turbulence 2 Strong Alfvenic Turbulence
    • P. Goldreich and S. Sridhar, Toward a Theory of Interstellar Turbulence. 2: Strong Alfvenic Turbulence, Astrophys. J. 438, 763 (1995).
    • (1995) Astrophys. J , vol.438 , pp. 763
    • Goldreich, P.1    Sridhar, S.2
  • 31
    • 0001481737 scopus 로고
    • Nonlinear Helical Perturbations of a Plasma in the Tokamak
    • B. B. Kadomtsev and O. P. Pogutse, Nonlinear Helical Perturbations of a Plasma in the Tokamak, J. Exp. Theor. Phys. 38, 283 (1974).
    • (1974) J. Exp. Theor. Phys. , vol.38 , pp. 283
    • Kadomtsev, B.B.1    Pogutse, O.P.2
  • 32
    • 36749108655 scopus 로고
    • Nonlinear, Three-Dimensional Magnetohydrodynamics of Noncircular Tokamaks
    • H. R. Strauss, Nonlinear, Three-Dimensional Magnetohydrodynamics of Noncircular Tokamaks, Phys. Fluids 19, 134 (1976).
    • (1976) Phys. Fluids , vol.19 , pp. 134
    • Strauss, H.R.1
  • 33
    • 84872398896 scopus 로고    scopus 로고
    • -, the smaller the allowed angle between magnetic and velocity fluctuations. The opposite is, however, not necessarily true
    • -, the smaller the allowed angle between magnetic and velocity fluctuations. The opposite is, however, not necessarily true.
  • 34
    • 53549121058 scopus 로고
    • Selective Decay Hypothesis at High Mechanical and Magnetic Reynolds Numbers
    • W. H. Matthaeus and D. Montgomery, Selective Decay Hypothesis at High Mechanical and Magnetic Reynolds Numbers, Ann. N.Y. Acad. Sci. 357, 203 (1980).
    • (1980) Ann. N. Y. Acad. Sci. , vol.357 , pp. 203
    • Matthaeus, W.H.1    Montgomery, D.2
  • 37
    • 78650277985 scopus 로고    scopus 로고
    • Scale Invariance of Normalized Cross-Helicity throughout the Inertial Range of Solar Wind Turbulence
    • J. J. Podesta and J. E. Borovsky, Scale Invariance of Normalized Cross-Helicity throughout the Inertial Range of Solar Wind Turbulence, Phys. Plasmas 17, 112905 (2010).
    • (2010) Phys. Plasmas , vol.17 , pp. 112905
    • Podesta, J.J.1    Borovsky, J.E.2
  • 38
    • 84872407726 scopus 로고    scopus 로고
    • (private communication)
    • C. H. K. Chen (private communication).
    • Chen, C.H.K.1
  • 40
    • 53549106389 scopus 로고    scopus 로고
    • Strong Imbalanced Turbulence
    • A. Beresnyak and A. Lazarian, Strong Imbalanced Turbulence, Astrophys. J. 682, 1070 (2008).
    • (2008) Astrophys. J. , vol.682 , pp. 1070
    • Beresnyak, A.1    Lazarian, A.2
  • 41
    • 53549119922 scopus 로고    scopus 로고
    • Strong Anisotropic MHD Turbulence with Cross Helicity
    • B. D. G. Chandran, Strong Anisotropic MHD Turbulence with Cross Helicity, Astrophys. J. 685, 646 (2008).
    • (2008) Astrophys. J , vol.685 , pp. 646
    • Chandran, B.D.G.1
  • 42
    • 77957720073 scopus 로고    scopus 로고
    • Theory of Incompressible Magnetohydrodynamic Turbulence with Scale-Dependent Alignment and Cross-Helicity
    • J. J. Podesta and A. Bhattacharjee, Theory of Incompressible Magnetohydrodynamic Turbulence with Scale-Dependent Alignment and Cross-Helicity, Astrophys. J. 718, 1151 (2010).
    • (2010) Astrophys. J. , vol.718 , pp. 1151
    • Podesta, J.J.1    Bhattacharjee, A.2
  • 44
    • 77952975195 scopus 로고    scopus 로고
    • Strong Magnetohydrodynamic Turbulence with Cross Helicity
    • J. C. Perez and S. Boldyrev, Strong Magnetohydrodynamic Turbulence with Cross Helicity, Phys. Plasmas 17, 055903 (2010).
    • (2010) Phys. Plasmas , vol.17 , pp. 055903
    • Perez, J.C.1    Boldyrev, S.2
  • 45
    • 77949500260 scopus 로고    scopus 로고
    • Numerical Simulations of Imbalanced Strong Magnetohydrodynamic Turbulence
    • J. C. Perez and S. Boldyrev, Numerical Simulations of Imbalanced Strong Magnetohydrodynamic Turbulence, Astrophys. J. Lett. 710, L63 (2010).
    • (2010) Astrophys. J. Lett. , vol.710
    • Perez, J.C.1    Boldyrev, S.2
  • 46
    • 79960897895 scopus 로고    scopus 로고
    • Extended Scaling Laws in Numerical Simulations of Magnetohydrodynamic Turbulence
    • J. Mason, J. C. Perez, F. Cattaneo, and S. Boldyrev, Extended Scaling Laws in Numerical Simulations of Magnetohydrodynamic Turbulence, Astrophys. J. Lett. 735, L26 (2011).
    • (2011) Astrophys. J. Lett. , vol.735
    • Mason, J.1    Perez, J.C.2    Cattaneo, F.3    Boldyrev, S.4
  • 47
    • 84872411742 scopus 로고    scopus 로고
    • Turbulence may also be driven by driving v or b fluctuations at large scales. This does not affect the inertial interval; see [48]
    • Turbulence may also be driven by driving v or b fluctuations at large scales. This does not affect the inertial interval; see [48].
  • 48
    • 40949099872 scopus 로고    scopus 로고
    • Numerical Measurements of the Spectrum in Magnetohydrodynamic Turbulence
    • J. Mason, F. Cattaneo, and S. Boldyrev, Numerical Measurements of the Spectrum in Magnetohydrodynamic Turbulence, Phys. Rev. E 77, 036403 (2008).
    • (2008) Phys. Rev , vol.77 , pp. 036403
    • Mason, J.1    Cattaneo, F.2    Boldyrev, S.3
  • 49
    • 84872367073 scopus 로고    scopus 로고
    • -1:5. Possible origins of the discrepancy may include Reynolds numbers that are not large enough, and/or small intermittency effects
    • -1:5. Possible origins of the discrepancy may include Reynolds numbers that are not large enough, and/or small intermittency effects.
  • 50
    • 84872374922 scopus 로고    scopus 로고
    • k = π between eddy scale lk and wave vector k is assumed
    • k = π between eddy scale lk and wave vector k is assumed
  • 51
    • 84862141650 scopus 로고    scopus 로고
    • Numerical Simulations of Strong Incompressible Magnetohydrodynamic Turbulence
    • J. Mason, J. Perez, S. Boldyrev, and F. Cattaneo, Numerical Simulations of Strong Incompressible Magnetohydrodynamic Turbulence, Phys. Plasmas 19, 055902 (2012).
    • (2012) Phys. Plasmas , vol.19 , pp. 055902
    • Mason, J.1    Perez, J.2    Boldyrev, S.3    Cattaneo, F.4
  • 52
    • 37549058373 scopus 로고    scopus 로고
    • Energy Spectra Stemming from Interactions of Alfvén Waves and Turbulent Eddies
    • P. D. Mininni and A. Pouquet, Energy Spectra Stemming from Interactions of Alfvén Waves and Turbulent Eddies, Phys. Rev. Lett. 99, 254502 (2007).
    • (2007) Phys. Rev. Lett , vol.99 , pp. 254502
    • Mininni, P.D.1    Pouquet, A.2
  • 53
    • 42749105165 scopus 로고    scopus 로고
    • Simulations of Nonhelical Hydromagnetic Turbulence
    • N. E. Haugen, A. Brandenburg, and W. Dobler, Simulations of Nonhelical Hydromagnetic Turbulence, Phys. Rev. E 70, 016308 (2004).
    • (2004) Phys. Rev. E , vol.70 , pp. 016308
    • Haugen, N.E.1    Brandenburg, A.2    Dobler, W.3
  • 54
    • 27144555691 scopus 로고    scopus 로고
    • Spectral Energy Dynamics in Magnetohydrodynamic Turbulence
    • W. Müller and R. Grappin, Spectral Energy Dynamics in Magnetohydrodynamic Turbulence, Phys. Rev. Lett. 95, 114502 (2005).
    • (2005) Phys. Rev. Lett , vol.95 , pp. 114502
    • Müller, W.1    Grappin, R.2
  • 56
    • 84872399830 scopus 로고    scopus 로고
    • in Ten Chapters in Turbulence, edited by P. A. Davidson, Y. Kaneda, and K
    • (Cambridge University Press, Cambridge, to be published)
    • S. M. Tobias, F. Cattaneo, and S. Boldyrev, in Ten Chapters in Turbulence, edited by P. A. Davidson, Y. Kaneda, and K. Sreenivasan (Cambridge University Press, Cambridge, to be published), pp. 351-404.
    • Sreenivasan , pp. 351-404
    • Tobias, S.M.1    Cattaneo, F.2    Boldyrev, S.3
  • 57
    • 78649240799 scopus 로고    scopus 로고
    • Scaling Laws and Diffuse Locality of Balanced and Imbalanced Magnetohydrodynamic Turbulence
    • A. Beresnyak and A. Lazarian, Scaling Laws and Diffuse Locality of Balanced and Imbalanced Magnetohydrodynamic Turbulence, Astrophys. J. 722, L110 (2010).
    • (2010) Astrophys. J , vol.722
    • Beresnyak, A.1    Lazarian, A.2
  • 58
    • 79951657332 scopus 로고    scopus 로고
    • Spectral Slope and Kolmogorov Constant of MHD Turbulence
    • A. Beresnyak, Spectral Slope and Kolmogorov Constant of MHD Turbulence, Phys. Rev. Lett. 106, 075001 (2011).
    • (2011) Phys. Rev. Lett , vol.106 , pp. 075001
    • Beresnyak, A.1
  • 59
    • 84861228823 scopus 로고    scopus 로고
    • Basic Properties of Magnetohydrodynamic Turbulence in the Inertial Range
    • A. Beresnyak, Basic Properties of Magnetohydrodynamic Turbulence in the Inertial Range, Mon. Not. R. Astron. Soc. 422, 3495 (2012).
    • (2012) Mon. Not. R. Astron. Soc , vol.422 , pp. 3495
    • Beresnyak, A.1
  • 61
    • 30344476134 scopus 로고    scopus 로고
    • Effective Dissipation and Turbulence in Spectrally Truncated Euler Flows
    • C. Cichowlas, P. Bonaïti, F. Debbasch, and M. Brachet, Effective Dissipation and Turbulence in Spectrally Truncated Euler Flows, Phys. Rev. Lett. 95, 264502 (2005).
    • (2005) Phys. Rev. Lett , vol.95 , pp. 264502
    • Cichowlas, C.1    Bonaïti, P.2    Debbasch, F.3    Brachet, M.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.