Generalized kinetic criterion of the liquid–glass transition

Using the model of delocalized atoms, a substantiation and generalization of the Schmelzer glass transition criterion is proposed. In contrast to the Bartenev and Volkenstein–Ptitsyn approaches, in the generalized kinetic glass transition criterion, along with the relaxation time and the cooling rate of the melt, the glass transition temperature and an almost universal dimensionless constant appear, which is determined by the fraction of the fluctuation volume frozen at the glass transition temperature. The idea is developed that the liquid goes into a glassy state when its cooling rate $q$ reaches a certain fraction of $C_g$ of the characteristic cooling rate $q_{g}$ = ($T_{g}/\tau_{g}$), which is closely related to the relaxation time of the structure $\tau_g$ at the glass transition temperature $T_g$.