1301.7296 (Mauro Sellitto)

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

Mauro Sellitto

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 swallowtail bifurcations (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.

View original: http://arxiv.org/abs/1301.7296