Publication : t04/127

Facilitated spin models on Bethe lattice: Bootstrap percolation, mode-coupling transition and glassy dynamics

Sellitto M. (The Abdus Salam ICTP (International Centre for Theoretical Physics), Strada Costiera 11, Trieste, 34100, ITALY)
Biroli G. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Toninelli C. (Laboratoire de Physique Théorique (LPT), Ecole Normale Supérieure (ENS), 24 rue Lhomond, F-75005 Paris, FRANCE)

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.

Année de publication : 2005
Revue : Europhys. Lett. 69 496-502 (2005)
DOI : 10.1209/epl/i2004-10372-5
Preprint : arXiv:cond-mat/0409393
Lien : http://www.edpsciences.org/abstract/euro/v69/p496
PACS : 05.20.-y, 05.50.+q, 64.70.Pf
Keywords : Statistical mechanics; Lattice theory and statistics (Ising, Potts, etc); Glass transitions
Langue : Anglais

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