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

摘要

A quantitative application to real supercooled liquids of the mean-field scenario for the glass transition (T-g) is proposed. This scenario, based oil an analogy with spin-glass models, suggests a unified picture of the mode-coupling dynamical singularity (T-c) and of the entropy crisis at the Kauzmann temperature (T-K), with T-c > T-g > T-K. Fitting a simple set of mode-coupling equations to experimental light-scattering spectra of two fragile liquids and deriving the equivalent spin-glass model, ne carl estimate not only T-c, but also the static transition temperature T-s corresponding supposedly to T-K. For the models and systems: considered here, T-s is always found above T-g, 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. [References: 38]