Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near $d=4$
| Autor: | Antonov, N. V., Gulitskiy, N. M., Kostenko, M. M., Lučivjanský, T. |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | EPJ Web of Conferences 164, 07044 (2017) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1051/epjconf/201716407044 |
| Popis: | 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. Comment: 8 pages, 1 figure |
| Databáze: | arXiv |
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