Exactly Solvable Model Glass with a Facilitated Dynamics

Abstract

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.

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

References in corpus (3)

• Regularization and supersymmetry-restoring counterterms in supersymmetric QCD
• Effective temperatures in an exactly solvable model for a fragile glass
• Glass-like dynamical behavior in hierarchical models submitted to continuous cooling and heating processes

Cited by in corpus (5)

• Glassy dynamics of kinetically constrained models
• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• Fluctuation-dissipation relations and effective temperatures in simple non-mean field systems
• A stroll among effective temperatures in aging systems: limits and perspectives
• Liquid stability in a model for ortho-terphenyl