TY - CONF

T1 - Critical dynamics of an advected scalar from the functional renormalization group.

AU - Hnatič, Michal

AU - Kalagov, Georgii

AU - Nalimov, Mikhail

N1 - Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2017

Y1 - 2017

N2 - We study effects of turbulent motion on the critical behaviour of a non- conserved scalar field using the formalism of the functional renormalization group (FRG). The turbulent advection is simulated by a random Gaussian velocity field with zero mean and correlation function {equation presented} behaviour of the scalar field close to criticality is described by the A model of critical dynamics. Within the local potential approximation to the Wetterich equation we have analysed possible scaling regimes the model reveals and computed corresponding critical ex- ponents. Our outcomes is capable of recovering the one-loop renormalization group functions of the coupling constants.

AB - We study effects of turbulent motion on the critical behaviour of a non- conserved scalar field using the formalism of the functional renormalization group (FRG). The turbulent advection is simulated by a random Gaussian velocity field with zero mean and correlation function {equation presented} behaviour of the scalar field close to criticality is described by the A model of critical dynamics. Within the local potential approximation to the Wetterich equation we have analysed possible scaling regimes the model reveals and computed corresponding critical ex- ponents. Our outcomes is capable of recovering the one-loop renormalization group functions of the coupling constants.

KW - Critical be-haviour

KW - Non-perturbative renormalization

KW - Stochastic turbulence

UR - http://www.scopus.com/inward/record.url?scp=85072568451&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:85072568451

SP - 321

EP - 336

T2 - 10th International Conference on Chaotic Modeling and Simulation, CHAOS 2017

Y2 - 30 May 2017 through 2 June 2017

ER -