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

L. Ts. Adzhemyan·N. V. Antonov·M. V. Kompaniets·A. N. Vasil'ev
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Abstract

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.

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L. Ts. Adzhemyan, N. V. Antonov, M. V. Kompaniets, A. N. Vasil'ev. 2002-05-20. Renormalization group in the statistical theory of turbulence: Two-loop approximation. https://arxiv.org/abs/nlin/0205046

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