Spatial Dimensionality Dependence of Heterogeneity, Breakdown of the Stokes-Einstein Relation and Fragility of a Model Glass-Forming Liquid

TL;DR

This study explores how the dynamics and fragility of a model glass-forming liquid change with spatial dimension, revealing that higher dimensions lead to decreased heterogeneity, fragility, and Stokes-Einstein relation breakdown.

Contribution

It provides a systematic analysis of the dimensional dependence of heterogeneity, fragility, and Stokes-Einstein relation breakdown in a model glass-forming liquid.

Findings

Heterogeneity decreases with increasing dimension.

Fragility decreases as dimension increases.

Breakdown of the Stokes-Einstein relation diminishes in higher dimensions.

Abstract

We investigate the heterogeneity of dynamics, the breakdown of the Stokes-Einstein relation and fragility in a model glass forming liquid, a binary mixture of soft spheres with a harmonic interaction potential, for spatial dimensions from 3 to 8. Dynamical heterogeneity is quantified through the dynamical susceptibility $\chi_4$, and the non-Gaussian parameter $\alpha_2$. We find that the fragility, the degree of breakdown of the Stokes-Einstein relation, as well as heterogeneity of dynamics, decrease with increasing spatial dimensionality. We briefly describe the dependence of fragility on density, and use it to resolve an apparent inconsistency with previous results.