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

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

1999-12-13

arxiv.org/abs/cond-mat/9912223v2

Europhys. Lett. 51, 420 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

new title, revised version accepted for publication in Europhysics Letters, 9 pages, 2 figures, RevTeX

Scientific paper

10.1209/epl/i2000-00511-0

A quantitative application to real supercooled liquids of the mean-field scenario for the glass transition ($T_g$) is proposed. This scenario, based on 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, we can 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.

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