| Issue |
EPJ Web Conf.
Volume 125, 2016
The 19th International Seminar on High Energy Physics (QUARKS-2016)
|
|
|---|---|---|
| Article Number | 05006 | |
| Number of page(s) | 6 | |
| Section | 5. Modern field theory and selected aspects of mathematical physics | |
| DOI | https://doi.org/10.1051/epjconf/201612505006 | |
| Published online | 28 October 2016 | |
https://doi.org/10.1051/epjconf/201612505006
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: n.antonov@spbu.ru
b e-mail: n.gulitskiy@spbu.ru
c e-mail: kontramot@mail.ru
d e-mail: tomas.lucivjansky@uni-due.de
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.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.