Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-03-23
PRE v75, 061131 (2007)
Physics
Condensed Matter
Statistical Mechanics
11 pages, 14 figures (25 eps files); revised as the publised version
Scientific paper
10.1103/PhysRevE.75.061131
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.
Ha Meesoon
Nijs Marcel den
Park Hyunggyu
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