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Paper   IPM / Physic / 6661
School of Physics
  Title:   Theoretical Model for Kremers-Moyal's Description of Turbulence Cascade
1.  J. Davoudi
2.  M.R. Rahimi Tabar
  Status:   Published
  Journal: Phys. Rev. Lett.
  No.:  51
  Vol.:  82
  Year:  1999
  Pages:   1680-1683
  Supported by:  IPM
We derive the Kramers-Moyal equation for the conditional probability density of velocity increments from the theoretical model recently proposed by V. Yakhot [Phys. Rev. E 57, 1737 (1998)] in the limit of the high Reynolds number. We show that the higher order (n ≥ 3) Kramers-Moyal coefficients tend to zero and the velocity increments are evolved by the Fokker-Planck operator. Our result are compatible with the phenomenological description, developed for explaining recent experiments by R. Friedrich and J. Peinke.

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