Exactly solvable model glass with facilitated dynamics

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 appear: Kauzmann transition, Vogel-Fulcher law, Adam-Gibbs relation and aging. The time evolution can be so slow that a quasi-equilibrium occurs 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.