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Although several theories relate the steep slowdown of glass formers toincreasing spatial correlations of some sort, standard static correlationfunctions show no evidence for this. We present results that reveal for thefirst time a qualitative thermodynamic difference between the high temperatureand deeply supercooled equilibrium glass-forming liquid: the influence ofboundary conditions propagates into the bulk over larger and largerlengthscales upon cooling, and, as this static correlation length grows, theinfluence decays nonexponentially. Increasingly long-range susceptibility toboundary conditions is expected within the random firt-order theory (RFOT) ofthe glass transition, but a quantitative account of our numerical resultsrequires a generalization of RFOT where the surface tension between statesfluctuates.

Thermodynamic signature of growing amorphous order in glass-forming liquids