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Stationary correlations for a far-from-equilibrium spin chain

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dc.contributorVirginia Techen
dc.contributor.authorSchmittmann, Beateen
dc.contributor.authorSchmuser, F.en
dc.contributor.departmentCenter for Stochastic Processes in Science and Engineering (CSPISE)en
dc.contributor.departmentPhysicsen
dc.date.accessed2013-12-17en
dc.date.accessioned2014-01-17T13:41:35Zen
dc.date.available2014-01-17T13:41:35Zen
dc.date.issued2002-10en
dc.description.abstractA kinetic one-dimensional Ising model on a ring evolves according to a generalization of Glauber rates, such that spins at even (odd) lattice sites experience a temperature T(e) (T(o)). Detailed balance is violated so that the spin chain settles into a nonequilibrium stationary state, characterized by multiple interactions of increasing range and spin order. We derive the equations of motion for arbitrary correlation functions and solve them to obtain an exact representation of the steady state. Two nontrivial amplitudes reflect the sublattice symmetries; otherwise, correlations decay exponentially, modulo the periodicity of the ring. In the long-chain limit, they factorize into products of two-point functions, in precise analogy to the equilibrium Ising chain. The exact solution confirms the expectation, based on simulations and renormalization group arguments, that the long-time, long-distance behavior of this two-temperature model is Ising-like, in spite of the apparent complexity of the stationary distribution.en
dc.identifier.citationSchmittmann, B ; Schmuser, F., Oct 2002. "Stationary correlations for a far-from-equilibrium spin chain," PHYSICAL REVIEW E 66(4) Part 2: 046130. DOI: 10.1103/PhysRevE.66.046130en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.66.046130en
dc.identifier.issn1539-3755en
dc.identifier.urihttp://hdl.handle.net/10919/24896en
dc.identifier.urlhttp://link.aps.org/doi/10.1103/PhysRevE.66.046130en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectlong-range correlationsen
dc.subjectdriven diffusive systemen
dc.subjectnonequilibriumen
dc.subjectsteady-statesen
dc.subjectcritical-behavioren
dc.subjectlattice gasesen
dc.subjectfield-theoryen
dc.subjectdynamicsen
dc.subjectmodelsen
dc.subjectfluidsen
dc.subjectPhysicsen
dc.titleStationary correlations for a far-from-equilibrium spin chainen
dc.title.serialPhysical Review Een
dc.typeArticle - Refereeden

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