ON A DYNAMICAL MODEL OF GLASSES

We analyze a simple dynamical model of glasses, based on the idea that each particle is trapped in a local potential well, which itself evol ves due to hopping of neighbouring particles. The glass transition is signalled by the fact that the equilibrium distribution ceases to be n ormalisable and dynamics becomes non-stationary. We generically find s tretching of the correlation function at low temperatures and a Vogel- Fulcher like behaviour of the terminal time.