Critical dynamics of diluted relaxational models coupled to a conserved density (diluted model C)

TL;DR

This paper investigates how quenched disorder affects the critical dynamics of a system with a non-conserved order parameter coupled to a conserved density, revealing various effective critical behaviors.

Contribution

It provides a detailed analysis of the effective critical behavior in diluted model C, accounting for different scenarios induced by quenched disorder.

Findings

Disorder causes the system to exhibit model A critical dynamics asymptotically.

Effective critical behavior observed in experiments and simulations can differ from asymptotic behavior.

Multiple scenarios of effective critical behavior are predicted based on the dynamical equations.

Abstract

We consider the influence of quenched disorder on the relaxational critical dynamics of a system characterized by a non-conserved order parameter coupled to the diffusive dynamics of a conserved scalar density (model C). Disorder leads to model A critical dynamics in the asymptotics, however it is the effective critical behavior which is often observed in experiments and in computer simulations and this is described by the full set of dynamical equations of diluted model C. Indeed different scenarios of effective critical behavior are predicted.