4 papers · 1 filter
Exact Solution of a Jamming Transition: Closed Equations for a Bootstrap Percolation Problem
Paolo De Gregorio, Aonghus Lawlor, Phil Bradley +1
Jamming, or dynamical arrest, is a transition at which many particles stop moving in a collective manner. In nature it is brought about by, for example, increasing the packing dens…
Geometry of Empty Space is the Key to Near-Arrest Dynamics
Aonghus Lawlor, Paolo De Gregorio, Phil Bradley +2
We study several examples of kinetically constrained lattice models using dynamically accessible volume as an order parameter. Thereby we identify two distinct regimes exhibiting d…
Competition between Short-Ranged Attraction and Short-Ranged Repulsion in Crowded Configurational Space; A Lattice Model Description
Davide Cellai, Hector Cuevas, Aonghus Lawlor +2
We describe a simple nearest-neighbor Ising model that is capable of supporting a gas, liquid, crystal, in characteristic relationship to each other. As the parameters of the model…
Clarification of the Bootstrap Percolation Paradox
Paolo De Gregorio, Aonghus Lawlor, Phil Bradley +1
We study the onset of the bootstrap percolation transition as a model of generalized dynamical arrest. We develop a new importance-sampling procedure in simulation, based on rare e…