Passive advection of a vector field by compressible turbulent flow: Renormalizations Group Analysis near d = 4

Nikolay V. Antonov, Nikolay M. Gulitskiy, Maria M. Kostenko, Tomáš Lučivjanský

Research outputpeer-review

1 Citation (Scopus)

Abstract

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 languageEnglish
Article number37
Number of pages12
JournalUniverse
Volume5
Issue number1
DOIs
Publication statusPublished - 18 Jan 2019

Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Passive advection of a vector field by compressible turbulent flow: Renormalizations Group Analysis near d = 4'. Together they form a unique fingerprint.

Cite this