Correlation and response in the Backgammon model: the Ehrenfest legacy

Details Correlation and response in the Backgammon model: the Ehrenfest legacy Correlation and response in the Backgammon model: the Ehrenfest legacy

1999-07-19

arxiv.org/abs/cond-mat/9907259v1

Journal of Physics A 32, 6033 (1999)

Physics

Condensed Matter

Statistical Mechanics

30 pages, 2 figures. To appear in Journal of Physics A

Scientific paper

10.1088/0305-4470/32/33/303

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 alpha regime of low temperatures and long times. This analysis includes the aging regime, the convergence to equilibrium, sand the crossover behavior between them.

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