Renormalization group in the statistical theory of turbulence: Two-loop approximation

Details Renormalization group in the statistical theory of turbulence: Two-loop approximation Renormalization group in the statistical theory of turbulence: Two-loop approximation

2002-05-20

arxiv.org/abs/nlin/0205046v1

Acta Physica Slovaca 52 (2002) 565

Nonlinear Sciences

Chaotic Dynamics

5 pages

Scientific paper

The field theoretic renormalization group is applied to the stochastic Navier--Stokes equation that describes fully developed fluid turbulence. The complete two-loop calculation of the renormalization constant, the beta function and the fixed point is performed. The ultraviolet correction exponent, the Kolmogorov constant and the inertial-range skewness factor are derived to second order of the $\epsilon$ expansion.

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