2004/09/30 by Mauro Sellitto, M Sellitto, Giulio Biroli +3 · 1 citation
Materials Science · Physics and Astronomy · #Bethe lattice #Dynamics (music) #Material Dynamics and Properties #Percolation (cognitive psychology) #Phase (matter) #Phase transition #Quantum many-body systems #Relaxation (psychology) #Space (punctuation) #Spin glass #Supercooling #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1209/epl/i2004-10372-5
published as Europhys. Lett. 69 (4), 496 (2005) · 7 pages, 6 figures, minor changes, final version to appear in Europhys. Lett
arxiv created 2004/12/06 · openalex publication_date 2005/02/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.