Universal representation of viscosity in glass forming liquids

E Rössler, KU Hess, VN Novikov - Journal of non-crystalline solids, 1998 - Elsevier
E Rössler, KU Hess, VN Novikov
Journal of non-crystalline solids, 1998Elsevier
Temperature dependence of the viscosity η (T) of fragile and strong polymer and non-
polymer glass formers was analyzed. A temperature Tx was introduced which marks the
boundary between a high-and low-temperature regime, where different approaches are
applied to interpolate η= η (T). At T Tx deviations from the master curves occur, and the
Vogel–Fulcher–Tammann equation provides a very good fit to highest temperatures. The
two master curves at T< Tx can be interpolated by several formulae.
Temperature dependence of the viscosity η(T) of fragile and strong polymer and non-polymer glass formers was analyzed. A temperature Tx was introduced which marks the boundary between a high- and low-temperature regime, where different approaches are applied to interpolate η=η(T). At T<Tx a master curve is obtained for polymer and non-polymer glass formers by scaling the quantity (Tg/T−1) with a factor F=Tx/(Tx−Tg) where Tg is the glass transition temperature. F is related to the steepness parameter m via F≅0.079m. A continuous transition from the master curve of non-polymer systems to the one of polymers is found if molecular weight is systematically increased. Tx is found to be close to the critical temperature Tc reported from analyses of the dynamic susceptibility by mode coupling theory. It is tentatively concluded that the magnitude of the interval between Tx and Tg defines the degree of fragility. At T>Tx deviations from the master curves occur, and the Vogel–Fulcher–Tammann equation provides a very good fit to highest temperatures. The two master curves at T<Tx can be interpolated by several formulae.
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