| Issue |
EPJ Web Conf.
Volume 164, 2017
5th International Conference on New Frontiers in Physics
|
|
|---|---|---|
| Article Number | 07044 | |
| Number of page(s) | 8 | |
| Section | Parallel | |
| DOI | https://doi.org/10.1051/epjconf/201716407044 | |
| Published online | 05 December 2017 | |
https://doi.org/10.1051/epjconf/201716407044
Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near d = 4
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
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: 5 December 2017
The renormalization group approach and the operator product expansion technique are applied to the model of a tracer field advected by the Navier-Stokes velocity ensemble for a compressible fluid. The model is considered in the vicinity of the specific space dimension d = 4. The properties of the equal-time structure functions are investigated. The multifractal behaviour of various correlation functions is established. All calculations are performed in the leading one-loop approximation.
© The Authors, published by EDP Sciences, 2017
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. (http://creativecommons.org/licenses/by/4.0/).
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.