A glass transition in a simple lattice model

I present a simple model of hard-core interacting particles on a 2D square lattice. The simplicity of the lattice model allows for an analytic approach to the behavior of the system in the super-cooled fluid regime. This approach predicts critical termination of the super-cooled fluid branch, which can be identified with a transition into glass. Detailed numerical simulations support this prediction, showing power-law divergences of the relaxation time and the four-susceptibility χ₄ peak’s location and height, exactly at the predicted density. In addition, the transition is accompanied by a divergence of the dynamic correlation length. I will discuss the issue of time-scale separation between the glassy relaxation and crystallization using recent results obtained from isobaric simulations.