%0 Journal Article
%T Passive Advection of a Vector Field by Compressible Turbulent Flow: Renormalizations Group Analysis near d = 4£¿
%J Universe | An Open Access Journal from MDPI
%D 2019
%R https://doi.org/10.3390/universe5010037
%X 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 ¦Å = 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, ¦Å expansion (one-loop approximation). View Full-Tex
%U https://www.mdpi.com/2218-1997/5/1/37