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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
1
United World College in Mostar, Spanski trg 1, 88000 Mostar, Bosnia and Herzegovina
2
International School for Advanced Studies, via Bonomea 265, I-31136 Trieste, Italy
3
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