Dynamic instability transitions in 1D driven diffusive flow with nonlocal hopping

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dc.creatorHa, Meesoon
dc.creatorPark, Hyunggyu
dc.creatorNijs, Marcel den
dc.date2007-03-23
dc.date2007-08-12
dc.date.accessioned2026-07-07T08:22:59Z
dc.date.available2026-07-07T08:22:59Z
dc.descriptionOne-dimensional directed driven stochastic flow with competing nonlocal and local hopping events has an instability threshold from a populated phase into an empty-road (ER) phase. We implement this in the context of the asymmetric exclusion process. The nonlocal skids promote strong clustering in the stationary populated phase. Such clusters drive the dynamic phase transition and determine its scaling properties. We numerically establish that the instability transition into the ER phase is second order in the regime where the entry point reservoir controls the current and first order in the regime where the bulk is in control. The first order transition originates from a turn-about of the cluster drift velocity. At the critical line, the current remains analytic, the road density vanishes linearly, and fluctuations scale as uncorrelated noise. A self-consistent cluster dynamics analysis explains why these scaling properties remain that simple.
dc.description11 pages, 14 figures (25 eps files); revised as the publised version
dc.identifierhttps://arxiv.org/abs/cond-mat/0703604
dc.identifierhttp://arxiv.org/abs/cond-mat/0703604
dc.identifierPRE v75, 061131 (2007)
dc.identifierdoi:10.1103/PhysRevE.75.061131
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135838
dc.subjectStatistical Mechanics
dc.titleDynamic instability transitions in 1D driven diffusive flow with nonlocal hopping
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