Dynamic propensity in a kinetically constrained lattice gas

This page serves as an archive for accompanying movies to the recent publication 'Dynamic propensity in a kinetically constrained lattice gas', L. O. Hedges and J. P. Garrahan J. Phys.: Condens. Matter. 19 (2007). Please refer to the paper for specific details of each movie set.

Propensity Evolution

The following movies show how the propensity field evolves for systems at two different particle densities. All simulations use a lattice of 100x100 sites and the propensity maps have been averaged over 100 independent trajectories, each starting from the same initial configuration. Circles are drawn centered on the initial position of each particle with a radius equal to the particle's propensity, <Δr²>^1/2. Solid blue circles indicate those particles whose cluster connectivity is within the top 10% of the system. The total running time at each density is the corresponding alpha relaxation time. Movies have been created using 100 logarithmically spaced datapoints.

Click on a movie to view or right click to download.

Particle density = 0.75	Particle density = 0.75
Particle density = 0.79	Particle density = 0.79

Cluster movement

The clusters of highly connected particles act as seeds for mobility within the system and are in effect the essential excitations for the model. The motion of the excitations may be observed by plotting the postion of the most highly connected particles at different times. The total simulation running times are 10² MC sweeps (density = 0.77) and 10⁴ MC sweeps (density = 0.79). Movies are generated from 100 linearly spaced frames.

Particle density = 0.77

Particle density = 0.79