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Facilitated spin models on Bethe lattice: bootstrap percolation, mode-coupling transition and glassy dynamics | | Mauro Sellitto
; Giulio Biroli
; Cristina Toninelli
; | | Date: |
15 Sep 2004 | | Journal: | Europhys. Lett. 69 (4), 496 (2005) | | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks | cond-mat.stat-mech cond-mat.dis-nn | | Abstract: | We show that facilitated spin models of cooperative dynamics introduced by Fredrickson and Andersen display on Bethe lattices a glassy behaviour similar to the one predicted by the mode-coupling theory of supercooled liquids and the dynamical theory of mean-field disordered systems. At low temperature such cooperative models show a two-step relaxation and their equilibration time diverges at a finite temperature according to a power-law. The geometric nature of the dynamical arrest corresponds to a bootstrap percolation process which leads to a phase space organization similar to the one of mean-field disordered systems. The relaxation dynamics after a subcritical quench exhibits aging and converges asymptotically to the threshold states that appear at the bootstrap percolation transition. | | Source: | arXiv, cond-mat/0409393 | | Services: | Forum | Review | PDF | Favorites | |
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