Research output: Contribution to journal › Article › peer-review
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).
Original language | English |
---|---|
Article number | 37 |
Number of pages | 12 |
Journal | Universe |
Volume | 5 |
Issue number | 1 |
DOIs | |
State | Published - 18 Jan 2019 |
ID: 41375855