Based on the basic fact that the glass transition is a physical phenomenon which occurs under nonequilibrium solidification
condition, the dynamical process of
rapid solidification is discussed by using nonlinear theory and a bifurcation theoretical model for the glass transition is established. It is shown that in the rapid solidification a multiple steady states phenomenon can occur because of the serious nonequilibrium of the solidification condition and the nonlinear coupling between the solidification rate and the solidification temperature, and this phenomenon can be understood as the
glass transition This model can explain some experimental features of the glass transition such as the changes of specific heat C p, expansion coefficient α , diffusion constant D , viscosity η and the cooling rate dependence of T g. And also, the critical cooling rates of glass formation and the reduced glass transition temperatures of some alloys estimated by this model are in good consistence with the experimental results.