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

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

2011-07-19

arxiv.org/abs/1107.3727v1

Physics

Condensed Matter

Statistical Mechanics

22 pages, 8 Figures

Scientific paper

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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