title: Dynamic facilitation picture of a higher-order glass singularity.
abstract: We show that facilitated spin mixtures with a tunable facilitation reproduce, on a Bethe lattice, the simplest higher-order singularity scenario predicted by the mode-coupling theory (MCT) of liquid-glass transition. Depending on the facilitation strength, they yield either a discontinuous glass transition or a continuous one, with no underlying thermodynamic singularity. Similar results are obtained for facilitated spin models on a diluted Bethe lattice. The mechanism of dynamical arrest in these systems can be interpreted in terms of bootstrap and standard percolation and corresponds to a crossover from a compact to a fractal structure of the incipient spanning cluster of frozen spins. Theoretical and numerical simulation results are fully consistent with MCT predictions.
authors.affiliation: United World College in Mostar, Mostar, Bosnia and Herzegovina.
authors.forename: Mauro
authors.initials: M
authors.lastname: Sellitto
authors.forename: Daniele
authors.initials: D
authors.lastname: De Martino
authors.forename: Fabio
authors.initials: F
authors.lastname: Caccioli
authors.forename: Jeferson J
authors.initials: JJ
authors.lastname: Arenzon