Abstract
The thermodynamic transition to a glass phase from a liquid phase is studied in a simple lattice glass model both on a random graph and in two dimensions by employing an extended ensemble Monte Carlo method, which enables us to explore its equilibrium behavior in a high density regime. The results for the random-graph case support the scenario of an equilibrium glass transition as predicted from one-step replica symmetry breaking schemes via the cavity method. Numerical evidence for the glass transition is also found for the system in two dimensions. The equation of state measured indicates a discontinuous change in the compressibility at the transition point and the overlap distribution function has a sharp double peak structure in the glassy phase. They suggest that this singularity originates from a one-step replica symmetry breaking.
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