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Are supercooled liquids Fickian yet non Gaussian?. (arXiv:2210.07119v4 [cond-mat.stat-mech] UPDATED)

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Comment on `Fickian Non-Gaussian Diffusion in Glass-Forming Liquids', by
Rusciano et al., Phys. Rev. Lett. 128, 168001 (2022). In a recent Letter,
Rusciano et al. examined the statistics of individual particles displacements
in two-dimensional glass-formers and concluded that the corresponding
probability distribution is non-Gaussian in a time regime where the
mean-squared displacement is Fickian. Here, we clarify that the multiple length
scales and time scales reported in this work have either been characterized
before, or are not well-defined. This leads us to dispute the conclusions that
glass-formers display Fickian non-Gaussian behaviour and that this analogy
fruitfully addresses the central questions regarding the nature of dynamic
heterogeneity in these systems.

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