On a Dynamical Model of Glasses
Résumé
We analyse a simple dynamical model of glasses, based on the idea that each particle is trapped in a local potential well, which itself evolves due to hopping of neighbouring particles. The glass transition in signalled by the fact that the equilibrium distribution ceases to be normalisable and dynamics becomes non-stationary. We generically find stretching of the correlation function at low temperatures and a Vogel-Fulcher like behaviour of the terminal time.
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