| Autor: |
Nikolay V. Antonov, Nikolay M. Gulitskiy, Maria M. Kostenko, Tomáš Lučivjanský |
| Jazyk: |
angličtina |
| Rok vydání: |
2019 |
| Předmět: |
|
| Zdroj: |
Universe, Vol 5, Iss 1, p 37 (2019) |
| Druh dokumentu: |
article |
| ISSN: |
2218-1997 |
| DOI: |
10.3390/universe5010037 |
| Popis: |
The renormalization group approach and the operator product expansion technique are applied to the model of a passively advected vector field by a turbulent velocity field. The latter is governed by the stochastic Navier-Stokes equation for a compressible fluid. The model is considered in the vicinity of space dimension d = 4 and the perturbation theory is constructed within a double expansion scheme in y and ε = 4 − d , where y describes scaling behaviour of the random force that enters the Navier-Stokes equation. The properties of the correlation functions are investigated, and anomalous scaling and multifractal behaviour are established. All calculations are performed in the leading order of y, ε expansion (one-loop approximation). |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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