Correlation and response in the backgammon model: the Ehrenfest legacy

Citation
C. Godreche et Jm. Luck, Correlation and response in the backgammon model: the Ehrenfest legacy, J PHYS A, 32(33), 1999, pp. 6033-6054
Citations number
30
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
33
Year of publication
1999
Pages
6033 - 6054
Database
ISI
SICI code
0305-4470(19990820)32:33<6033:CARITB>2.0.ZU;2-7
Abstract
We pursue our investigation of the non-equilibrium dynamics of the backgamm on model, a dynamical urn model which exhibits aging and glassy behaviour a t low temperature. We present an analytical study of the scaling behaviour of the local correlation and response functions of the density fluctuations of the model, and of the associated fluctuation-dissipation ratios, throug hout the alpha-regime of low temperature and long times. This analysis incl udes the aging regime, the convergence to equilibrium, and the crossover be haviour between them.