Glassy dynamics, metastability limit and crystal growth in a lattice spin model

We introduce a lattice spin model where frustration is due to multibody interactions rather than quenched disorder in he Hamiltonian. The system has a crystalline ground state and below he melting temperature displays a dynamic behaviour typical of fragile glasses. However, the supercooled phase loses stability a an effective spinodal temperature, and hanks to his he Kauzmann paradox is resolved. Below he spinodal the system enters an off-equilibrium regime corresponding to fast crystal nucleation followed by slow activated crystal growth. In this phase and in a time region which is longer the lower the temperature we observe a violation of the fluctuation-dissipation theorem analogous to structural glasses. Moreover, we show hat in his system there is no qualitative difference between a locally stable glassy configuration and a highly disordered polycrystal.