A Monte Carlo investigation of the equilibrium and kinetic properties of the square tiling model proposed by Stillinger and Weber is presented. By employing a combination of series expansion and simulation methods, accurate approximations for the equilibrium thermodynamic properties are obtained. The model exhibits nonexponential relaxation of the potential-energy autocorrelation function that empirically can be described by the Kohlrausch-Williams-Watts expression. Furthermore, it is shown to possess non-Arrhenius temperature dependence of the average relaxation time for the potential energy. Continuous cooling and heating simulations, as well as finite-temperature-jump experiments, were performed and the results were found to be in qualitative agreement with the behavior of laboratory glass-forming liquids. The kinetic properties of the square-tiling model are compared with those of the two-spin-facilitated model proposed by Fredrickson and Andersen.

• Received 26 June 1986

DOI:https://doi.org/10.1103/PhysRevB.34.7641