Mean-field approximation and a small parameter in turbulence theory.

  title={Mean-field approximation and a small parameter in turbulence theory.},
  author={Victor Yakhot},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={63 2 Pt 2},
  • V. Yakhot
  • Published 13 January 2000
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
Numerical and physical experiments on two-dimensional (2D) turbulence show that the differences of transverse components of velocity field are well described by Gaussian statistics and Kolmogorov scaling exponents. In this case the dissipation fluctuations are irrelevant in the limit of small viscosity. In general, one can assume the existence of a critical space dimensionality d=d(c), at which the energy flux and all odd-order moments of velocity difference change sign and the dissipation… 

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