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

Adzhemyan, L. Ts.; Antonov, N. V.; Kompaniets, M. V.; Vasil'ev, A. N.

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

Authors

Description

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 $ε$ expansion.
5 pages