Is a "homogeneous" description of dynamic heterogeneities possible?

TL;DR

This paper investigates the dynamic heterogeneities in glass-forming liquids using a kinetic Ising model, demonstrating that a scaling approach can be derived from a mode-coupling-like approximation.

Contribution

It introduces a self-consistent approximation method to analyze the low-temperature dynamics of a kinetic Ising model for glassy systems.

Findings

Scaling approach matches the autocorrelation function predictions.

Mode-coupling-like approximation effectively describes long-time behavior.

Provides insights into homogeneous descriptions of dynamic heterogeneities.

Abstract

We study the simplest model of dynamic heterogeneities in glass forming liquids: one-spin facilitated kinetic Ising model introduced by Fredrickson and Andersen [G.H. Fredrickson and H.C. Andersen, Phys. Rev. Lett. 53, 1244 (1984); J. Chem. Phys. 83, 5822 (1985)]. We show that the low-temperature, long-time behavior of the density autocorrelation function predicted by a scaling approach can be obtained from a self-consistent mode-coupling-like approximation.