Multifractal Analysis of the Dynamical Heterogeneity in a Two-Dimensional Supercooled Liquid

TL;DR

This study uses multifractal analysis to quantify the increasing dynamical heterogeneity in a supercooled liquid as it approaches the glass transition, revealing similarities to Anderson localization phenomena.

Contribution

It introduces a multifractal formalism to analyze dynamical heterogeneity in supercooled liquids, providing new insights into the nature of the glass transition.

Findings

Singularity spectrum broadens near the glass transition

Dynamical heterogeneity increases as temperature decreases

Behavior resembles Anderson localization transition

Abstract

The dynamical heterogeneity in supercooled liquids measured by a molecular dynamics simulation has been quantified on the basis of the multifractal formalism. The singularity spectrum becomes broader as the glass transition is approached. This behavior is similar to that observed in the case of the Anderson-localization transition.