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Paper   IPM / P / 6767
School of Physics
  Title:   Three Dimensional Forced Burgers Turbulence Supplemented with A Continuity Equation
1.  J. Davoudi
2.  A.A. Masoudi
3.  M.R. Rahimi Tabar
4.  A.R. Rastegar
5.  F. Shahbazi
  Status:   Published
  Journal: Phys. Rev. E
  No.:  95
  Vol.:  63
  Year:  2001
  Pages:   056308-1-13
  Supported by:  IPM
We investigate turbulent limit of the forced Burgers equation supplemented with a continuity equation in three dimensions. The scaling exponent of the conditional two-point correlation function of density, i.e., 〈ρ(x1)ρ(x2) |∆u〉 ∼ |x1x2|−α3, is calculated self-consistently in the nonuniversal region from which we obtain α3=3. Also we derive an equation governing the evolution of the probability density function (PDF) of longitudinal velocity increments in length scale, from which a possible mechanism for the dependence of the inertial PDF to one-point urms is developed.

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