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

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

2005-03-04

arxiv.org/abs/cond-mat/0503089v2

Physics

Condensed Matter

Statistical Mechanics

11 pages

Scientific paper

10.1103/PhysRevE.72.021401

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.

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