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Quantitative investigation of the mean-field scenario for the structural glass transition from a schematic mode-coupling analysis of experimental data

A quantitative application to real supercooled liquids of the mean-field scenario for the glass transition (Tg) is proposed. This scenario, based on an analogy with spin-glass models, suggests a unified picture of the mode-coupling dynamical singularity (Tc) and of the entropy crisis at the Kauzmann temperature (TK), with Tc > Tg > TK. Fitting a simple set of mode-coupling equations to experimental light-scattering spectra of two fragile liquids and deriving the equivalent spin-glass model, we can estimate not only Tc, but also the static transition temperature Ts corresponding supposedly to TK. For the models and systems considered here, Ts is always found above Tg, in the fluid phase. A comparison with recent theoretical calculations shows that this overestimation of the ability of a liquid to form a glass seems to be a generic feature of the mean-field approach.