TY - JOUR

T1 - Passive advection of a vector field by compressible turbulent flow: Renormalizations Group Analysis near d = 4

AU - Antonov, Nikolay V.

AU - Gulitskiy, Nikolay M.

AU - Kostenko, Maria M.

AU - Lučivjanský, Tomáš

PY - 2019/1/18

Y1 - 2019/1/18

N2 - 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).

AB - 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).

KW - Anomalous scaling

KW - Field-theoretic renormalization group

KW - Fully developed turbulence

KW - Magnetohydrodynamics

KW - MULTIFRACTALS

KW - MODELS

KW - magnetohydrodynamics

KW - anomalous scaling

KW - OPERATOR PRODUCT EXPANSION

KW - fully developed turbulence

KW - field-theoretic renormalization group

KW - SCALAR

UR - http://www.scopus.com/inward/record.url?scp=85064387027&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/passive-advection-vector-field-compressible-turbulent-flow-renormalizations-group-analysis-near-d-4

U2 - 10.3390/universe5010037

DO - 10.3390/universe5010037

M3 - Article

AN - SCOPUS:85064387027

VL - 5

JO - Universe

JF - Universe

SN - 2218-1997

IS - 1

M1 - 37

ER -