Predicting the Temperature Range of Arrhenius Crossover of Structural Relaxation in Fragile Glass-forming Liquids

In the present study, we show that the range of the temperature ratio T-A/T-g for fragile glass-forming liquids is predicted by adopting T-A similar to T-x, where T-A is the temperature that the Arrhenius crossover appears and T-x is the cooperativity onset temperature extracted from the Bond Strength-Coordination Number Fluctuation model proposed by the authors. Specifically, when the above relation is used in conjunction with the two-thirds rule (T-g/T-m = 2/3) and the empirical criterion for good glass-formers (T-A/T-m greater than or similar to 1.0), the predicted range of the Arrhenius crossover is calculated to be 1.5 less than or similar to T-A/T-g < 2.1. This range is in good agreement with the values confirmed in fragile systems, encompassing a wide range of glass-forming materials, excepting the network systems.