GLASS-TRANSITION SINGULARITIES

A unified understanding is given for the Vogel-Fulcher (T-VF), Kauzmann (T-K), glass transition (T-g), and crossover (T-x) temperatures in supercooled liquids on the basis of a heuristic ansatz for trapped and nontrapped diffusive motions, where these characteristic temperatures are related to the divergence of various moments of the waiting time distribution for the nontrapped diffusive motion. Three predictions (i) T-K = T-VF, (ii) TgSc(T-g) similar to const, and (iii) T(x)s(c)(T-x)/T(g)s,(c)(T-g) = 2, where s(c)(T) is the excess entropy per atom, are made, which are consistent with experimental observations.