Renormalization group analysis of a turbulent compressible fluid near $d = 4$ : Crossover between local and non-local scaling regimes

N. V. Antonov; N. M. Gulitskiy; M. M. Kostenko; T. Lučivjanský

doi:10.1051/epjconf/201612505006

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arXiv · 1611.01302

Renormalization group analysis of a turbulent compressible fluid near $d = 4$ : Crossover between local and non-local scaling regimes

N. V. Antonov·N. M. Gulitskiy·M. M. Kostenko·T. Lučivjanský

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Abstract

We study scaling properties of the model of fully developed turbulence for a compressible fluid, based on the stochastic Navier-Stokes equation, by means of the field theoretic renormalization group (RG). The scaling properties in this approach are related to fixed points of the RG equation. Here we study a possible existence of other scaling regimes and an opportunity of a crossover between them. This may take place in some other space dimensions, particularly at $d = 4$. A new regime may there arise and then by continuity moves into $d = 3$. Our calculations have shown that there really exists an additional fixed point, that may govern scaling behaviour.

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N. V. Antonov, N. M. Gulitskiy, M. M. Kostenko, T. Lučivjanský. 2016-11-04. Renormalization group analysis of a turbulent compressible fluid near $d = 4$ : Crossover between local and non-local scaling regimes. https://doi.org/10.1051/epjconf%2F201612505006

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