1 9 Ju l 1 99 9 Correlation and response in the Backgammon model : the Ehrenfest legacy by
نویسنده
چکیده
We pursue our investigation of the non-equilibrium dynamics of the Backgammon model, a dynamical urn model which exhibits aging and glassy behavior at low temperature. We present an analytical study of the scaling behavior of the local correlation and response functions of the density fluctuations of the model, and of the associated fluctuation-dissipation ratios, throughout the α-regime of low temperature and long times. This analysis includes the aging regime, the convergence to equilibrium, and the crossover behavior between them.
منابع مشابه
Models.
Dynamical urn models, such as the Ehrenfest model, have played an important role in the early days of statistical mechanics. Dynamical many-urn models generalize the former models in two respects: the number of urns is macroscopic, and thermal effects are included. These many-urn models are exactly solvable in the mean-field geometry. They allow analytical investigations of the characteristic f...
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