The characteristic length of cooperativity derived from dynamic size effects in a lattice gas

Dynamic size effects in a lattice gas model with two-vacancy-assisted hopping are studied by Monte Carlo simulation. A characteristic length of cooperativity is derived from the slowing down of the relaxation of the site-occupation autocorrelation function and of the orientation autocorrelation function of non-spherical particles in confining geometries. Good agreement is found with the cooperativity length obtained previously by measuring the size dependence of the fraction of permanently blocked particles.