title: Geometry of dynamically available 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 self-diffusion constant in terms of the connected hole density are presented, and some evidence is given for scaling in the limit of dynamical arrest.
authors.affiliation: Department of Chemistry, University College Dublin, Irish Centre for Colloid Science and Biomaterials, Belfield, Dublin 4, Ireland.
authors.forename: Aonghus
authors.initials: A
authors.lastname: Lawlor
authors.forename: Paolo
authors.initials: P
authors.lastname: De Gregorio
authors.forename: Phil
authors.initials: P
authors.lastname: Bradley
authors.forename: Mauro
authors.initials: M
authors.lastname: Sellitto
authors.forename: Kenneth A
authors.initials: KA
authors.lastname: Dawson