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Dynamic Facilitation Picture of a Higher-Order Glass Singularity Mauro Sellitto,1

Summary: Dynamic Facilitation Picture of a Higher-Order Glass Singularity
Mauro Sellitto,1
Daniele De Martino,2
Fabio Caccioli,2
and Jeferson J. Arenzon3
United World College in Mostar, Spanski trg 1, 88000 Mostar, Bosnia and Herzegovina
International School for Advanced Studies, via Bonomea 265, I-31136 Trieste, Italy
Instituto de Fi´sica and INCT-Sistemas Complexos, Universidade Federal do Rio Grande do Sul,
CP 15051, 91501-970 Porto Alegre RS, Brazil
(Received 1 October 2010; revised manuscript received 25 November 2010; published 29 December 2010)
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


Source: Arenzon, Jeferson J. - Instituto de Física, Universidade Federal do Rio Grande do Sul


Collections: Physics