Maps of the spatial distributions of the relaxation times are obtained from Monte Carlo simulations of the facilitated kinetic Ising model. The β relaxation, acting over short and intermediate time scales, is observed to occur in localized pockets. The slow α relaxation is governed by the fraction of these pockets which are free to move. This physical picture is able to account for the non-Arrhenius temperature dependence of the time scales of the α process, the scaling of the relaxation function in the β region, and the value of the relaxation function at the crossover time.

• Received 6 July 1993

DOI:https://doi.org/10.1103/PhysRevE.48.4359