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

Abstract

One-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.

11 pages, 14 figures (25 eps files); revised as the publised version

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Cited by in corpus (4)

• Boundary-induced abrupt transition in the symmetric exclusion process
• Nonlocal Asymmetric exclusion process on a ring and conformal invariance
• Condensation transition in a model with attractive particles and non-local hops
• Asymmetric simple exclusion process in one-dimensional chains with long-range links