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dc.contributor.authorOakes, Tom
dc.contributor.authorGarrahan, Juan
dc.contributor.authorPowell, Stephen
dc.date.accessioned2016-03-09T12:57:05Z
dc.date.available2016-03-09T12:57:05Z
dc.date.issued2016-03-08
dc.identifier.urihttps://rdmc.nottingham.ac.uk/handle/internal/43
dc.description.abstractWe study the behavior of classical dimer coverings of the square lattice - a paradigmatic model for systems subject to constraints - evolving under local stochastic dynamics, by means of Monte Carlo simulations and theoretical arguments. We observe clear signatures of correlated dynamics in both global and local observables and over a broad range of time scales, indicating a breakdown of the simple continuum description that approximates well the statics. We show that this collective dynamics can be understood in terms of one-dimensional "strings" of high mobility, which govern both local and long-wavelength dynamical properties. We introduce a coarse-grained description of the strings, based on the Edwards-Wilkinson model, which leads to exact results in the limit of low string density and provides a detailed qualitative understanding of the dynamics in all flux sectors. We discuss the implications of our results for the dynamics of constrained systems more generally. The deposited data are Monte Carlo results for height correlations, persistence, and related observables.en_UK
dc.language.isoenen_UK
dc.publisherUniversity of Nottinghamen_UK
dc.relation.urihttp://link.aps.org/doi/10.1103/PhysRevE.93.032129en_UK
dc.subject.lcshMonte Carlo methoden_UK
dc.subject.lcshDynamicsen_UK
dc.subject.lcshDimers -- Mathematical modelsen_UK
dc.subject.lcshStochastic modelsen_UK
dc.titleEmergence of cooperative dynamics in fully packed classical dimersen_UK
dc.identifier.doihttp://doi.org/10.17639/nott.40
dc.subject.freeMonte Carlo simulations; Dimers; Dynamics; Dimer model; Constrained systems; Stochastic dynamics; Kinetic Monte Carlo; Monte Carlo dynamics; Height model; Strings; Edwards-Wilkinson model; Dynamical critical phenomena; Dynamical scaling theory; Coulomb phase; Classical spin liquid; flux sector; Kasteleyn transitionen_UK
dc.subject.jacsJACS Subjects::Physical sciences::Physics::Mathematical & theoretical physics::Computational physicsen_UK
dc.subject.lcLibrary of Congress Subject Areas::Q Science::QC Physics::QC170 Atomic physics. Constitution and properties of matteren_UK
dc.date.collection09.2014-09.2015en_UK
uon.divisionFaculties, Schools and Departments::University of Nottingham, UK Campus::Faculty of Science::School of Physics and Astronomyen_UK
uon.funder.controlledFunders::Engineering & Physical Sciences Research Councilen_UK
uon.datatypeResults of Monte Carlo simulationsen_UK
uon.grantEP/K01773X/1en_UK
uon.grantEP/M019691/1en_UK
uon.collectionmethodContinuous-time kinetic Monte Carloen_UK
uon.rightscontactUniversity of Nottinghamen_UK
uon.preservation.rarelyaccessedtrue
dc.relation.doi10.1103/PhysRevE.93.032129en_UK


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