Geometry of Empty Space is the Key to Near-Arrest Dynamics

Abstract

We study several examples of kinetically constrained lattice models using dynamically accessible volume as an order parameter. Thereby we identify two distinct regimes exhibiting dynamical slowing, with a sharp threshold between them. These regimes are identified both by a new response function in dynamically available volume, as well as directly in the dynamics. Results for the selfdiffusion constant in terms of the connected hole density are presented, and some evidence is given for scaling in the limit of dynamical arrest.

arXiv comment11 pages

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• Supercooled Liquids for Pedestrians
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• Fast Simulation of Facilitated Spin Models
• Dynamic propensity in a kinetically constrained lattice gas
• Dynamic facilitation explains democratic particle motion of metabasin transitions
• Lattice Model of Glasses