• 1
  • 2
  • 5
  • 6
  • 3
  • 4
IPM
30
YEARS OLD

“School of Physic”

Back to Papers Home
Back to Papers of School of Physic

Paper   IPM / Physic / 6556
School of Physics
  Title:   Logarithmic Correlation Functions in Two-Dimensional Turbulence
  Author(s): 
1.  S. Rouhani
2.  M.R. Rahimi Tabar
  Status:   Published
  Journal: Phys. Lett. A
  No.:  52
  Vol.:  224
  Year:  1997
  Pages:   331-336
  Supported by:  IPM
  Abstract:
We consider the correlation functions of two-dimensional turbulence in the presence and absence of a three-dimensional perturbation, by means of conformal field theory. In the presence of three-dimensional perturbation, we show that in the strong coupling limit of a small scale random force, there is some logarithmic factor in the correlation functions of velocity stream functions. We show that the logarithmic conformal field theory c8,1 describes the 2D-turbulence both in the absence and in the presence of the perturbation. We obtain the energy spectrum E(k) ∼ k−5.125 ln (k) for perturbed 2D-turbulence and E(k) ∼ k−5 ln (k) for unperturbed turbulence. Recent numerical simulation and experimental results confirm our prediction.

Download TeX format
back to top
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
scroll left or right