Disconnected glass-glass transitions and swallowtail bifurcations in microscopic spin models with facilitated dynamics

Abstract

It has been recently established that heterogeneous bootstrap percolation and related dynamic facilitation models exhibit a complex hierarchy of continuous and discontinuous transitions depending on lattice connectivity and kinetic constraints. Here the range of the previously observed phase diagram topologies and higher-order singularities is extended to disconnected glass-glass transitions and to cusp and swallowtail bifurcations (which can be generic and degenerate). The phase diagram and the order parameter for two different types of spin mixtures are analytically determined and an experimental realization of the new predictions emerging in our approach is suggested.

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• Fredrickson-Andersen model on Bethe lattice with random pinning
• Jamming vs. Caging in Three Dimensional Jamming Percolation
• The large connectivity limit of bootstrap percolation
• The Random-Diluted Triangular Plaquette Model: study of phase transitions in a Kinetically Constrained Model
• Selective Bootstrap Percolation
• Analytical approach to the dynamics of facilitated spin models on random networks