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Despite decades of intense study, the mechanisms underlying the extraordinarydynamics of supercooled liquids as they approach the glass transition remain,at best, mis-characterized, and at worst, misunderstood. A long standingendeavor is to understand the remarkable increase of the viscosity withsupercooling. Recently, a new theory of supercooled liquids has been proposedthat starts from first principles, using elementary statistical mechanicsarguments, to derive a form for the viscosity that contains only a singlefitting parameter in its simplest form. In this we demonstrate that this exactsame form may be derived from a different starting point, and then criticallyexamine its performance. In the process we find that functional form proposedfits the viscosity data of a diverse group of 45 liquids exceptionally wellover a wide temperature range, and uncover a number of interesting correlationsof the single parameter with various thermodynamic quantities, ultimatelyallowing for the prediction of low temperature viscosity from high temperaturedata. Additionally, we find that similar physical reasoning can be used toderive a similar, single parameter form for the viscosity of hard-sphere/jammedliquids. We demonstrate that this form accurately reproduces the viscosity ofhard-spheres, suggesting an underlying universality in metastable dynamics.

Critical assessment of the equilibrium melting-based, energy distribution theory of supercooled liquids and application to jammed systems