title: Universality in lattice models of dynamic arrest: introduction of an order parameter.
abstract: We introduce an order parameter for dynamical arrest. Dynamically available volume (unoccupied space that is available to the motion of particles) is expressed as holes for the simple lattice models we study. Near the arrest transition the system is dilute in holes, so we expand dynamical quantities in a series of hole density. Unlike the situation when presented in particle density, all cases of simple models that we examine have a quadratic dependence of the diffusion constant on hole density. This observation implies that in certain regimes ideal dynamical arrest transitions may possess a hitherto unnoticed degree of universality.
authors.affiliation: Irish Centre for Colloid Science and Biomaterials, Department of Chemistry, University College Dublin, Belfield, Ireland.
authors.forename: Aonghus
authors.initials: A
authors.lastname: Lawlor
authors.forename: Dan
authors.initials: D
authors.lastname: Reagan
authors.forename: Gavin D
authors.initials: GD
authors.lastname: McCullagh
authors.forename: Paolo De
authors.initials: PD
authors.lastname: Gregorio
authors.forename: Piero
authors.initials: P
authors.lastname: Tartaglia
authors.forename: Kenneth A
authors.initials: KA
authors.lastname: Dawson