Dynamical arrest in a geometric model for the glass transition

We investigate the nature of the slow relaxation in a three-dimensional lattice binary mixture with soft geometric constraints. We find that at high particle density the equilibrium relaxation time diverges with a super-Arrhenius law (like a double exponential of the inverse temperature), resulting in history-dependent properties typical of glassy relaxation. By a non-local Monte Carlo algorithm we equilibrate the system and determine its phase diagram in the temperature-density representation. The system exhibits a first-order melting transition line, and no apparent signature of the mean-field glassy scenario.