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Analytical approach to the dynamics of facilitated spin models on random networks

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dc.contributor.author Fennell, Peter G.
dc.contributor.author Gleeson, James P.
dc.contributor.author Cellai, Davide
dc.date.accessioned 2015-04-30T15:39:17Z
dc.date.available 2015-04-30T15:39:17Z
dc.date.issued 2014
dc.identifier.uri http://hdl.handle.net/10344/4445
dc.description peer-reviewed en_US
dc.description.abstract Facilitated spin models were introduced some decades ago to mimic systems characterized by a glass transition. Recent developments have shown that a class of facilitated spin models is also able to reproduce characteristic signatures of the structural relaxation properties of glass-forming liquids. While the equilibrium phase diagram of these models can be calculated analytically, the dynamics are usually investigated numerically. Here we propose a network-based approach, called approximate master equation (AME), to the dynamics of the Fredrickson-Andersen model. The approach correctly predicts the critical temperature at which the glass transition occurs. We also find excellent agreement between the theory and the numerical simulations for the transient regime, except in close proximity of the liquid-glass transition. Finally, we analytically characterize the critical clusters of the model and show that the departures between our AME approach and the Monte Carlo can be related to the large interface between blocked and unblocked spins at temperatures close to the glass transition. en_US
dc.language.iso eng en_US
dc.publisher American Physical Society en_US
dc.relation 317614
dc.relation.ispartofseries Physical Review E;90, 032824
dc.relation.uri http://dx.doi.org/10.1103/PhysRevE.90.032824
dc.subject glass-transition en_US
dc.subject bootstrap percolation en_US
dc.subject bethe lattice en_US
dc.title Analytical approach to the dynamics of facilitated spin models on random networks en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.date.updated 2015-04-30T15:31:03Z
dc.description.version PUBLISHED
dc.identifier.doi 10.1103/PhysRevE.90.032824
dc.contributor.sponsor SFI en_US
dc.contributor.sponsor ERC en_US
dc.relation.projectid 11/P1/1026 en_US
dc.relation.projectid 317614 en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US
dc.internal.rssid 1573124
dc.internal.copyrightchecked Yes
dc.description.status peer-reviewed


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