• Corpus ID: 119256795

On the Steady State Distributions for Turbulence

  title={On the Steady State Distributions for Turbulence},
  author={Djordje Minic and Michel Pleimling and Anne E. Staples},
  journal={arXiv: Fluid Dynamics},
We propose explicit forms for the steady state distributions governing fully developed turbulence in two and three spatial dimensions. We base our proposals on the crucial importance of the area and volume preserving diffeomorphisms in the space of velocities. We argue that these distributions can lead to the relevant (Kolmogorov and Kraichnan) scaling laws. 

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arXiv:hep-th/9303130; Int

  • J. Mod. Phys. A9, 1197
  • 1994

For a discussion of turbulence at weak coupling, consult

  • 1992


  • Rev. Lett. 104, 221801 (2010) [arXiv:1002:2437]. See also, J. Bagger and N. Lambert, Phys. Rev. D75, 045020 (2007); Phys. Rev. D77, 065008 (2008); JHEP 0802, 105 (2008); A. Gustavsson, Nucl. Phys. B811, 66
  • 2009


  • Akad. Nauk SSSR 30, 299
  • 1941


  • Rev. D10, 2445
  • 1974


  • L409 (2006); R. K. P. Zia and B. Schmittmann, J. Stat. Mech.
  • 2007

unpublished; J

  • Hoppe, MIT Ph.D. thesis, 1982 and in Proc. Int. Workshop on Constraints Theory and Relativistic Dynamics, G. Longhi and L. Lusanna, eds. (World Scientific, 1987); J. Hoppe, Int. J. Mod. Phys. A4 (1989) 5235; D. Fairlie, P. Fletcher and C. Zachos, J. Math. Phys. 31
  • 1990