Quantitative investigation of the mean-field scenario for the structural glass transition from a schematic mode-coupling analysis of experimental data
LCP,UMR 8611, Bâtiment 490, Université Paris Sud - F-91405 Orsay
Accepted: 8 June 2000
A quantitative application to real supercooled liquids of the mean-field scenario for the glass transition () is proposed. This scenario, based on an analogy with spin-glass models, suggests a unified picture of the mode-coupling dynamical singularity () and of the entropy crisis at the Kauzmann temperature (), with . 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 , but also the static transition temperature corresponding supposedly to . For the models and systems considered here, is always found above , 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.
PACS: 64.70.Pf – Glass transitions / 61.20.Lc – Time-dependent properties; relaxation / 75.10.Nr – Spin-glass and other random models
© EDP Sciences, 2000