Glassy systems are characterized by peculiar dynamical features such as: aging, dynamical heterogeneities, singular transport coefficients, and very slow relaxation towards equilibrium. Their understanding should thus be provided by an intrinsically dynamical description. A family of models displaying a glassy behavior is provided by Kinetically Constrained Models, based on the idea of dynamical facilitation. We perform an analysis of their dynamics based upon a statistical approach to the various time trajectories these systems can follow. By constructing a thermodynamic-like formalism for these trajectories, we show that the glassy state results from a first-order dynamical transition. In collaboration with J.P. Garrahan, R.L. Jack, V. Lecomte, E. Pitard and F. van Wijland |
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