An existence of a single master curve for the long-term self-diffusion coefficients DSL(T) in diversely different glass-forming liquids was predicted over wide temperature T ranges above the glass transition point Tg by analyzing various experimental and simulation data consistently from a unified point of view based upon the mean-field theory recently developed. In order to scale those data appropriately, the power-law dependence of the α- and the β-relaxation times upon DSL was used. Then, it was shown that any equilibrium data for self-diffusion of atom in different systems were all collapsed onto a singular function f(Tf(α)/T), where Tf(α) was a fictive singular temperature of atom α. Thus, it was emphasized that any equilibrium self-diffusion data could be described by a single master curve f(x) above Tg(>Tf), while the out-of-equilibrium data began to deviate from f(x) around Tg.

Single Master Curve for Self-Diffusion Coefficients in Distinctly Different Glass-Forming Liquids. M.Tokuyama: Physical Review E, 2010, 82[4], 041501