Abstract

This paper gives an introduction to and brief overview of some of ourrecent work on the equilibrium thermodynamics of glasses. We havefocused on first-principles computations for simple fragile glasses,starting from the two-body interatomic potential. A replicaformulation translates this problem into that of a gas ofinteracting molecules, each molecule being built of m atoms, andhaving a gyration radius (related to the cage size) which vanishesat zero temperature. We use a small-cage expansion, valid at lowtemperatures, which allows us to compute the cage size, the specificheat (which follows the Dulong and Petit law), and theconfigurational entropy. The no-replica interpretation of thecomputations is also briefly described. The results, particularlythose concerning the Kauzmann temperature and the configurationalentropy, are compared to recent numerical simulations.

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