Effects of Turbulent Mixing on the Critical Behavior

TL;DR

This paper investigates how anisotropic turbulent mixing influences critical phenomena using renormalization group analysis, revealing new nonequilibrium universality classes in complex systems.

Contribution

It introduces a framework for analyzing turbulent effects on critical behavior, identifying novel nonequilibrium universality classes through models A and Gribov.

Findings

Discovery of new nonequilibrium critical regimes

Application of renormalization group to anisotropic turbulence

Extension of passive scalar advection models

Abstract

Effects of strongly anisotropic turbulent mixing on the critical behavior are studied by means of the renormalization group. Two models are considered: the equilibrium model A, which describes purely relaxational dynamics of a nonconserved scalar order parameter, and the Gribov model, which describes the nonequilibrium phase transition between the absorbing and fluctuating states in a reaction-diffusion system. The velocity is modelled by the d-dimensional generalization of the random shear flow introduced by Avellaneda and Majda within the context of passive scalar advection. Existence of new nonequilibrium types of critical regimes (universality classes) is established.