Emergent facilitation behavior in a distinguishable-particle lattice model of glass

TL;DR

This paper introduces a lattice gas model for structural glasses with distinguishable particles and quenched disorder, demonstrating emergent facilitation behavior through kinetic simulations that support the dynamic facilitation theory.

Contribution

The model uniquely incorporates site-particle-dependent interactions and shows emergent facilitation without explicit rules, advancing understanding of glassy dynamics.

Findings

Emergent facilitation behavior observed in simulations.

Exact equilibrium states are analytically accessible.

Void motions are significantly facilitated by nearby voids.

Abstract

We propose an interacting lattice gas model of structural glass characterized by particle distinguishability and site-particle-dependent random nearest-neighboring particle interactions. This incorporates disorder quenched in the configuration space rather than in the physical space. The model exhibits non-trivial energetics while still admitting exact equilibrium states directly constructible at arbitrary temperature and density. The dynamics is defined by activated hopping following standard kinetic Monte Carlo approach without explicit facilitation rule. Kinetic simulations show emergent dynamic facilitation behaviors in the glassy phase in which motions of individual voids are significant only when accelerated by other voids nearby. This provides a microscopic justification for the dynamic facilitation picture of structural glass.