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25 April 2024
 
  » arxiv » cond-mat/0006045

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Inherent structures and non-equilibrium dynamics of 1D constrained kinetic models: a comparison study
A. Crisanti ; F. Ritort ; A. Rocco ; M. Sellitto ;
Date 2 Jun 2000
Journal Journal of Chemical Physics 113, 10615 - 10634 (2000).
Subject Statistical Mechanics; Disordered Systems and Neural Networks | cond-mat.stat-mech cond-mat.dis-nn
Abstracte discuss the relevance of the Stillinger and Weber approach to the glass transition investigating the non-equilibrium behavior of models with non-trivial dynamics, but with simple equilibrium properties. We consider a family of 1D constrained kinetic models, which interpolates between the asymmetric chain introduced by Eisinger and Jäckle [Z. Phys. {f B84}, 115 (1991)] and the symmetric chain introduced by Fredrickson and Andersen [Phys. Rev. Lett {f 53}, 1244 (1984)], and the 1D version of the Backgammon model [Phys. Rev. Lett. {f 75}, 1190 (1995)]. We show that the configurational entropy obtained from the inherent structures is the same for all models irrespective of their different microscopic dynamics. We present a detailed study of the coarsening behavior of these models, including the relation between fluctuations and response. Our results suggest that any approach to the glass transition inspired by mean-field ideas and resting on the definition of a configurational entropy must rely on the absence of any growing characteristic coarsening pattern.
Source arXiv, cond-mat/0006045
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