Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-09-15
Europhys. Lett. 69 (4), 496 (2005)
Physics
Condensed Matter
Statistical Mechanics
7 pages, 6 figures, minor changes, final version to appear in Europhys. Lett
Scientific paper
10.1209/epl/i2004-10372-5
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.
Biroli Giulio
Sellitto Mauro
Toninelli Cristina
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