J. Phys. I France 5 (1995) 1521-1526
On a Dynamical Model of GlassesJean-Philippe Bouchaud1, Alain Comtet2, 3 and Cécile Monthus2, 3
1 Service de Physique de l'Etat Condensé, CEA-Saclay, Orme des Merisiers, 91191 Gif s/ Yvette Cedex, France
2 Division de Physique Théorique, IPN, Bâtiment 100, Université de Paris-Sud, 91406 Orsay Cedex, France
3 LPTPE, Université P. et M. Curie, 4 Place Jussieu, 75231 Paris Cedex 05, France
(Received 13 June 1995, accepted in final form 28 September 1995)
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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