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 o f the site-occupation autocorrelation function and of the orientation autocorrelation function of non-spherical particles in confining geome tries. Good agreement is found with the cooperativity length obtained previously by measuring the size dependence of the fraction of permane ntly blocked particles.