Abstract
Supercooled liquids exhibit a pronounced slowdown of their dynamics on cooling1 without showing any obvious structural or thermodynamic changes2. Several theories relate this slowdown to increasing spatial correlations3,4,5,6. However, no sign of this is seen in standard static correlation functions, despite indirect evidence from considering specific heat7 and linear dielectric susceptibility8. Whereas the dynamic correlation function progressively becomes more non-exponential as the temperature is reduced, so far no similar signature has been found in static correlations that can distinguish qualitatively between a high-temperature and a deeply supercooled glass-forming liquid in equilibrium. Here, we show evidence of a qualitative thermodynamic signature that differentiates between the two. We show by numerical simulations with fixed boundary conditions that the influence of the boundary propagates into the bulk over increasing length scales on cooling. With the increase of this static correlation length, the influence of the boundary decays non-exponentially. Such long-range susceptibility to boundary conditions is expected within the random first-order theory4,9,10 (RFOT) of the glass transition. However, a quantitative account of our numerical results requires a generalization of RFOT, taking into account surface tension fluctuations between states.
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Acknowledgements
We thank C. Cammarota, L. A. Fernandez, G. Gradenigo, I. Giardina, A. Lefèvre, V. Martín-Mayor, A. Montanari, G. Parisi, D. Reichman, M. Tarzia and F. Zamponi for useful discussions. G.B. and J.-P.B. are supported by ANR Grant DYNHET. T.S.G. thanks ECT* and Dipartimento di Fisica, Universitá di Trento for hospitality and partial support and acknowledges partial support from CONICET and ANPCyT (Argentina) and ICTP (Trieste, Italy).
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Biroli, G., Bouchaud, JP., Cavagna, A. et al. Thermodynamic signature of growing amorphous order in glass-forming liquids. Nature Phys 4, 771–775 (2008). https://doi.org/10.1038/nphys1050
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DOI: https://doi.org/10.1038/nphys1050
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