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
a e-mail: email@example.com
b e-mail: firstname.lastname@example.org
c e-mail: email@example.com
d e-mail: firstname.lastname@example.org
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
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.