Renormalization group analysis of a turbulent compressible fluid near d = 4: Crossover between local and non-local scaling regimes
1 Department of Theoretical Physics, Faculty of Physics, Saint-Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, 199034 Russia
2 Faculty of Sciences, P.J. Šafárik University, Moyzesova 16, 040 01 Košice, Slovakia
Fakultät für Physik, Universität Duisburg-Essen, D-47048 Duisburg, Germany
Published online: 28 October 2016
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.
© The Authors, published by EDP Sciences, 2016
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