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Recently a new approach to the determination of dynamic correlation lengths,{\xi}, for supercooled liquids, based on the properties of the slow(picosecond) vibrational dynamics, was carried out [L. Hong, V.N. Novikov, andA.P. Sokolov, Phys. Rev. E 83, 061508 (2011)]. Although these vibrationalmeasurements are typically conducted well below the glass transitiontemperature, Tg, the assumption is that the structure of the liquid is frozenat Tg, so that the {\xi} characterize dynamic heterogeneity in the supercooledliquid state. We compare {\xi} from this method to values calculated using anapproximation to the four-point dynamic susceptibility. For 26 differentmaterials we find good correlation between the two measures; moreover, thepressure dependences are consistent within the large experimental error.However, {\xi} from Boson peak measurements above Tg have a different, andunrealistic, temperature dependence.

Comparing dynamic correlation lengths from an approximation to the four-point dynamic susceptibility and from the picosecond vibrational dynamics