Critical balance in magnetohydrodynamic, rotating and stratified turbulence: towards a universal scaling conjecture

Preprint, Article English OPEN
Nazarenko, S. V. ; Schekochihin, A. A. (2009)
  • Publisher: Cambridge University Press
  • Related identifiers: doi: 10.1017/S002211201100067X
  • Subject: QA | Astrophysics - Solar and Stellar Astrophysics | Physics - Space Physics | Nonlinear Sciences - Chaotic Dynamics | Physics - Atmospheric and Oceanic Physics | Physics - Fluid Dynamics | Astrophysics - Astrophysics of Galaxies
    arxiv: Physics::Fluid Dynamics | Physics::Space Physics

It is proposed that critical balance - a scale-by-scale balance between the linear propagation and nonlinear interaction time scales - can be used as a universal scaling conjecture for determining the spectra of strong turbulence in anisotropic wave systems. Magnetohydrodynamic (MHD), rotating and stratified turbulence are considered under this assumption and, in particular, a novel and experimentally testable energy cascade scenario and a set of scalings of the spectra are proposed for low-Rossby-number rotating turbulence. It is argued that in neutral fluids the critically balanced anisotropic cascade provides a natural path from strong anisotropy at large scales to isotropic Kolmogorov turbulence at very small scales. It is also argued that the k(perpendicular to)(-2) spectra seen in recent numerical simulations of low-Rossby-number rotating turbulence may be analogous to the k(perpendicular to)(-3/2) spectra of the numerical MHD turbulence in the sense that they could be explained by assuming that fluctuations are polarised (aligned) approximately as inertial waves (Alfven waves for MHD).
  • References (72)
    72 references, page 1 of 8

    Bale, S. D., Kellogg, P. J., Mozer, F. S., Horbury, T. S. & Reme, H. 2005 Measurement of the electric fluctuation spectrum of magnetohydrodynamic turbulence. Phys. Rev. Lett. 94, 215002.

    Bellet, F., Godeferd, F. S., Scott, J. F. & Cambon, C. 2006 Wave turbulence in rapidly rotating flows. J. Fluid Mech. 562, 83-121.

    Beresnyak, A. 2011 The spectral slope and Kolmogorov constant of MHD turbulence. Phys. Rev. Lett. (in press) arXiv:1011.2505.

    Billant, P. & Chomaz, J.-M. 2001 Self-similarity of strongly stratified inviscid flows. Phys. Fluids 13, 1645-1651.

    Biskamp, D. & Schwarz, E. 2001 On two-dimensional magnetohydrodynamic turbulence. Phys. Plasmas 8, 3282-3292.

    Biskamp, D., Schwarz, E., Zeiler, A., Celani, A. & Drake, J. F. 1999 Electron magnetohydrodynamic turbulence. Phys. Plasmas 6, 751-758.

    Biskamp, D. & Welter, H. 1989 Dynamics of decaying two-dimensional magnetohydrodynamic turbulence. Phys. Fluids B 1, 1964-1979.

    Boldyrev, S. 2006 Spectrum of magnetohydrodynamic turbulence. Phys. Rev. Lett. 96, 115002.

    Boldyrev, S., Mason, J. & Cattaneo, F. 2009 Dynamic alignment and exact scaling laws in magnetohydrodynamic turbulence. Astrophys. J. 699, L39-L42.

    Boldyrev, S. & Perez, J. C. 2009 Spectrum of weak magnetohydrodynamic turbulence. Phys. Rev. Lett. 103, 225001.

  • Metrics
    No metrics available
Share - Bookmark