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How glasses explore configuration space

We review a statistical picture of the glassy state derived from the analysis of the off-equilibrium fluctuation-dissipation relations. We define an ultralong-time limit where ‘one-time quantities’ are close to equilibrium while the response and correlation can still display ageing. In this limit it is possible to relate the fluctuation response relation to static breaking of ergodicity. The resulting picture suggests that even far from that limit, the fluctuation-dissipation ratio relates to the rate of growth of the configurational entropy with the free-energy density.