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Exact dynamics of a reaction-diffusion model with spatially alternating rates

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dc.contributorVirginia Techen
dc.contributor.authorMobilia, M.en
dc.contributor.authorSchmittmann, Beateen
dc.contributor.authorZia, Royce K. P.en
dc.contributor.departmentCenter for Stochastic Processes in Science and Engineering (CSPISE)en
dc.contributor.departmentPhysicsen
dc.date.accessed2013-12-17en
dc.date.accessioned2014-01-17T13:41:33Zen
dc.date.available2014-01-17T13:41:33Zen
dc.date.issued2005-05en
dc.description.abstractWe present the exact solution for the full dynamics of a nonequilibrium spin chain and its dual reaction-diffusion model, for arbitrary initial conditions. The spin chain is driven out of equilibrium by coupling alternating spins to two thermal baths at different temperatures. In the reaction-diffusion model, this translates into spatially alternating rates for particle creation and annihilation, and even negative "temperatures" have a perfectly natural interpretation. Observables of interest include the magnetization, the particle density, and all correlation functions for both models. Two generic types of time dependence are found: if both temperatures are positive, the magnetization, density, and correlation functions decay exponentially to their steady-state values. In contrast, if one of the temperatures is negative, damped oscillations are observed in all quantities. They can be traced to a subtle competition of pair creation and annihilation on the two sublattices. We comment on the limitations of mean-field theory and propose an experimental realization of our model in certain conjugated polymers and linear chain compounds.en
dc.identifier.citationMobilia, M ; Schmittmann, B ; Zia, RKP, May 2005. "Exact dynamics of a reaction-diffusion model with spatially alternating rates," PHYSICAL REVIEW E 71(5) Part 2: 056129. DOI: 10.1103/PhysRevE.71.056129en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.71.056129en
dc.identifier.issn1539-3755en
dc.identifier.urihttp://hdl.handle.net/10919/24888en
dc.identifier.urlhttp://link.aps.org/doi/10.1103/PhysRevE.71.056129en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectmx chain compounden
dc.subjectmany-body systemsen
dc.subjectone-dimensionen
dc.subjectising-modelen
dc.subjectglauber dynamicsen
dc.subjectdecay kineticsen
dc.subjectmidgap statesen
dc.subjectannihilationen
dc.subjectPhysicsen
dc.titleExact dynamics of a reaction-diffusion model with spatially alternating ratesen
dc.title.serialPhysical Review Een
dc.typeArticle - Refereeden

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