A toy MCT model for multiple glass transitions: Double swallow tail singularity

We propose a toy model to describe in the frame of Mode Coupling Theory multiple glass transitions. The model is based on the postulated simple form for static structure factor as a sum of two delta-functions. This form makes it possible to solve the MCT equations in almost analytical way. The phase diagram is governed by two swallow tails resulting from two _A4$A_4$ singularities and includes liquid–glass transition and multiple glasses. The diagram has much in common with those of binary and quasibinary systems.