Glassy behaviour in an exactly solved spin system with a ferromagnetic transition

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dc.creatorJack, Robert L.
dc.creatorGarrahan, Juan P.
dc.creatorSherrington, David
dc.date2004-10-01
dc.date2005-03-17
dc.date.accessioned2026-07-07T03:01:11Z
dc.date.available2026-07-07T03:01:11Z
dc.descriptionWe show that applying simple dynamical rules to Baxter's eight-vertex model leads to a system which resembles a glass-forming liquid. There are analogies with liquid, supercooled liquid, glassy and crystalline states. The disordered phases exhibit strong dynamical heterogeneity at low temperatures, which may be described in terms of an emergent mobility field. Their dynamics are well-described by a simple model with trivial thermodynamics, but an emergent kinetic constraint. We show that the (second order) thermodynamic transition to the ordered phase may be interpreted in terms of confinement of the excitations in the mobility field. We also describe the aging of disordered states towards the ordered phase, in terms of simple rate equations.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0410028
dc.identifierhttp://arxiv.org/abs/cond-mat/0410028
dc.identifierPhys. Rev. E 71, 036112 (2005)
dc.identifierdoi:10.1103/PhysRevE.71.036112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24980
dc.subjectStatistical Mechanics
dc.titleGlassy behaviour in an exactly solved spin system with a ferromagnetic transition
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