Exactly Solvable Model Glass with a Facilitated Dynamics
统计力学
2009-11-07 v1 无序系统与神经网络
摘要
A model glass with fast and slow processes is studied. The statics is simple and the facilitated slow dynamics is exactly solvable. The main features of a fragile glass take place: Kauzmann transition, Vogel-Fulcher law, Adam-Gibbs relation and aging. The time evolution can be so slow that a quasi-equilibrium occur at a time dependent effective temperature. The same effective temperature is derived from the Fluctuation-Dissipation ratio, which supports the applicability of out of equilibrium thermodynamics.
引用
@article{arxiv.cond-mat/0110030,
title = {Exactly Solvable Model Glass with a Facilitated Dynamics},
author = {L. Leuzzi and Th. M Nieuwenhuizen},
journal= {arXiv preprint arXiv:cond-mat/0110030},
year = {2009}
}
备注
Contribution to the Proceedings of the ESF SPHINX meeting `Glassy behaviour of kinetically constrained models' (Barcelona, March 22-25, 2001). To appear in a special issue of J. Phys. Cond. Matt