Space-time thermodynamics and subsystem observables in a kinetically constrained model of glassy systems

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dc.creatorJack, Robert L.
dc.creatorGarrahan, Juan P.
dc.creatorChandler, David
dc.date2006-04-04
dc.date2006-11-29
dc.date.accessioned2026-07-07T07:05:14Z
dc.date.available2026-07-07T07:05:14Z
dc.descriptionIn a recent article [M. Merolle et al., Proc. Natl. Acad. Sci. USA 102, 10837 (2005)] it was argued that dynamic heterogeneity in $d$-dimensional glass formers is a manifestation of an order-disorder phenomenon in the $d+1$ dimensions of spacetime. By considering a dynamical analogue of the free energy, evidence was found for phase coexistence between active and inactive regions of spacetime, and it was suggested that this phenomenon underlies the glass transition. Here we develop these ideas further by investigating in detail the one-dimensional Fredrickson-Andersen (FA) model in which the active and inactive phases originate in the reducibility of the dynamics. We illustrate the phase coexistence by considering the distributions of mesoscopic spacetime observables. We show how the analogy with phase coexistence can be strengthened by breaking microscopic reversibility in the FA model, leading to a non-equilibrium theory in the directed percolation universality class.
dc.description12 pages, 11 figures, final version with minor changes
dc.identifierhttps://arxiv.org/abs/cond-mat/0604068
dc.identifierhttp://arxiv.org/abs/cond-mat/0604068
dc.identifierJ. Chem. Phys. 125, 184509 (2006)
dc.identifierdoi:10.1063/1.2374885
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109601
dc.subjectStatistical Mechanics
dc.titleSpace-time thermodynamics and subsystem observables in a kinetically constrained model of glassy systems
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