Physics – Condensed Matter
Scientific paper
1995-08-29
Physics
Condensed Matter
21 pages, revtex, 4 uuencoded figures
Scientific paper
10.1007/BF02175558
In this paper we present an exact study of the relaxation dynamics of the backgammon model. This is a model of a gas of particles in a discrete space which presents glassy phenomena as a result of {\it entropy barriers} in configuration space. The model is simple enough to allow for a complete analytical treatment of the dynamics in infinite dimensions. We first derive a closed equation describing the evolution of the occupation number probabilities, then we generalize the analysis to the study the autocorrelation function. We also consider possible variants of the model which allow to study the effect of energy barriers.
Franz Silvio
Ritort Felix
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