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Article Dans Une Revue Journal of Statistical Mechanics: Theory and Experiment Année : 2011

Frozen shuffle update for an asymmetric exclusion process with open boundary conditions

Résumé

We introduce a new update algorithm for exclusion processes, more suitable for the modeling of pedestrian traffic. Pedestrians are modeled as hard-core particles hopping on a discrete lattice, and are updated in a fixed order, determined by a phase attached to each pedestrian. While the case of periodic boundary conditions was studied in a companion paper, we consider here the case of open boundary conditions. The full phase diagram is predicted analytically and exhibits a transition between a free flow phase and a jammed phase. The density profile is predicted in the frame of a domain wall theory, and compared to Monte Carlo simulations, in particular in the vicinity of the transition.

Dates et versions

hal-00609982 , version 1 (20-07-2011)

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C. Appert-Rolland, J. Cividini, H. J. Hilhorst. Frozen shuffle update for an asymmetric exclusion process with open boundary conditions. Journal of Statistical Mechanics: Theory and Experiment, 2011, pp.P07013. ⟨hal-00609982⟩
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