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arXiv · 1107.3727

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

C. Appert-Rolland·J. Cividini·H. J. Hilhorst
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Abstract

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.

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C. Appert-Rolland, J. Cividini, H. J. Hilhorst. 2011-07-19. Frozen shuffle update for an asymmetric exclusion process with open boundary conditions. https://doi.org/10.1088/1742-5468%2F2011%2F10%2Fp10013

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