Aging in lattice-gas models with constrained dynamics

TL;DR

This paper studies aging phenomena in lattice-gas models with constrained dynamics, revealing their role as simple, three-dimensional models that exhibit glassy behavior akin to mean field mode-coupling theories, and interpret aging as a slow approach to criticality.

Contribution

It introduces and analyzes lattice-gas models with particle exchange, demonstrating their capacity to model glassy aging behavior in three dimensions, bridging simple models and complex glassy dynamics.

Findings

Models exhibit slow aging dynamics similar to glassy systems.

Particle exchange allows interpretation of aging as approaching criticality.

Models serve as simple three-dimensional analogs of mean field glassy behavior.

Abstract

We investigate the aging behavior of lattice-gas models with constrained dynamics in which particle exchange with a reservoir is allowed. Such models provide a particularly simple interpretation of aging phenomena as a slow approach to criticality. They appear as the simplest three dimensional models exhibiting a glassy behavior similar to that of mean field (low temperature mode-coupling) models.