%0 Journal Article %1 Sellitto2005Facilitated %A Sellitto, M. %A Biroli, G. %A Toninelli, C. %D 2005 %J Europhysics Letters (EPL) %K mode-coupling-theory, spin-models percolation glasses bootstrap %N 4 %P 496--502 %R 10.1209/epl/i2004-10372-5 %T Facilitated spin models on Bethe lattice: Bootstrap percolation, mode-coupling transition and glassy dynamics %U http://dx.doi.org/10.1209/epl/i2004-10372-5 %V 69 %X 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.

@article{Sellitto2005Facilitated, 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.}}, added-at = {2019-06-10T14:53:09.000+0200}, archiveprefix = {arXiv}, author = {Sellitto, M. and Biroli, G. and Toninelli, C.}, biburl = {https://www.bibsonomy.org/bibtex/202bff2fe0991a9c6279c3e51cb3bae1a/nonancourt}, citeulike-article-id = {11353144}, citeulike-linkout-0 = {http://arxiv.org/abs/cond-mat/0409393}, citeulike-linkout-1 = {http://arxiv.org/pdf/cond-mat/0409393}, citeulike-linkout-2 = {http://dx.doi.org/10.1209/epl/i2004-10372-5}, day = 02, doi = {10.1209/epl/i2004-10372-5}, eprint = {cond-mat/0409393}, interhash = {14825a963aa74daeeb7e8a7865455bb5}, intrahash = {02bff2fe0991a9c6279c3e51cb3bae1a}, issn = {1286-4854}, journal = {Europhysics Letters (EPL)}, keywords = {mode-coupling-theory, spin-models percolation glasses bootstrap}, month = feb, number = 4, pages = {496--502}, posted-at = {2012-10-12 11:03:46}, priority = {2}, timestamp = {2019-08-23T10:58:50.000+0200}, title = {{Facilitated spin models on Bethe lattice: Bootstrap percolation, mode-coupling transition and glassy dynamics}}, url = {http://dx.doi.org/10.1209/epl/i2004-10372-5}, volume = 69, year = 2005 }