Universality in lattice models of dynamic arrest: introduction of an order parameter.
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.
Lawlor
Aonghus
A
Irish Centre for Colloid Science and Biomaterials, Department of Chemistry, University College Dublin, Belfield, Ireland.
Reagan
Dan
D
McCullagh
Gavin D
GD
Gregorio
Paolo De
PD
Tartaglia
Piero
P
Dawson
Kenneth A
KA