High-temperature regime, supercooled liquids

The dependence of the shear viscosity tj in both the equilibrium liquid and supercooled liquid phases is shown in Fig. I. Vogel and Fulcher first observed that in the high-temperature, low-viscosity regime, tj could be fitted to the form ... 

In a recent work, the translational motion of 4- -hexyl-4 -cyanobiphenyl (6CB) was studied in the isotropic phase by atomistic molecular dynamics simulation [134], The mean-square displacement showed evidence of sub-diffusive dynamics, with a plateau that became very apparent at the lowest temperatures. A three-time self-intermediate scattering function revealed that this plateau was connected with a homogeneous dynamics that, at longer times, became heterogeneous and finally exponential. These features, which are shared by, for example, a high-density system of hard spheres, support the universal character of the translational dynamics of liquids in their supercooled regime. 

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