Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2010-09-30
Phys. Rev. Lett. 105, 265704 (2010)
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 3 figures; minor changes
Scientific paper
10.1103/PhysRevLett.105.265704
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 hybrid 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.
Arenzon Jeferson J.
Caccioli Fabio
Martino Daniele de
Sellitto Mauro
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