Renormalization group in the theory of fully developed turbulence. The problem of infrared-essential corrections to the Navier-Stokes equation

Autor: Antonov, N. V., Borisenok, S. V., Girina, V. I.
Zdroj: Theoretical and Mathematical Physics; April 1996, Vol. 107 Issue: 1 p456-468, 13p
Abstrakt: Using the RG approach to the theory of fully developed turbulence, we consider the problem of possible IR-essential corrections to the Navier-Stokes equation. We formulate an exact criterion for the “actual IR-essentiality” of the corrections. In accordance with this criterion. we check whether certain classes of composite operators are IR-essential. All of these operators turn out to be actually IR-inessential for arbitrary values of the RG expansion parameter ε. This confirms the absence of the crossover and enables the RG results obtained for asymptotically small values of ε to be extrapolated to the physical range ε>2.
Databáze: Supplemental Index
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