Geometry of dynamically available empty space is the key to near-arrest dynamics.
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.
Lawlor
Aonghus
A
Department of Chemistry, University College Dublin, Irish Centre for Colloid Science and Biomaterials, Belfield, Dublin 4, Ireland.
De Gregorio
Paolo
P
Bradley
Phil
P
Sellitto
Mauro
M
Dawson
Kenneth A
KA