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Updated: Jun 5, 2026

Fabricating Optical-quality Glass Surfaces to Study Macrophage Fusion
Published on: March 14, 2018
Dynamic facilitation picture of a higher-order glass singularity
Mauro Sellitto1, Daniele De Martino, Fabio Caccioli
1United World College in Mostar, Mostar, Bosnia and Herzegovina.
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.
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