How glasses explore configuration space
Silvio Franz

TL;DR
This paper reviews a statistical framework for understanding the glassy state through off-equilibrium fluctuation-dissipation relations, linking aging dynamics to static ergodicity breaking and configurational entropy growth.
Contribution
It introduces a novel connection between fluctuation-dissipation ratios and the growth rate of configurational entropy in glasses.
Findings
Fluctuation-dissipation ratio relates to aging in glasses.
Static ergodicity breaking can be inferred from fluctuation-response relations.
Configurational entropy growth influences off-equilibrium dynamics.
Abstract
We review a statistical picture of the glassy state derived from the analysis of the off-equilibrium fluctuation-dissipation relations. We define an ultra-long time limit where ``one time quantities'' are close to equilibrium while response and correlation can still display aging. 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 free-energy density.
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