Frozen shuffle update for an asymmetric exclusion process with open boundary conditions
arXiv:1107.3727 · doi:10.1088/1742-5468/2011/10/P10013
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.
22 pages, 8 Figures
References in corpus (5)
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Cited by in corpus (11)
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- Intersection of two TASEP traffic lanes with frozen shuffle update
- Integrable Floquet dynamics, generalized exclusion processes and "fused" matrix ansatz
- Wake-mediated interaction between driven particles crossing a perpendicular flow
- Exact domain wall theory for deterministic TASEP with parallel update
- Time-headway distribution for periodic totally asymmetric exclusion process with various updates
- Continuous and first-order jamming transition in crossing pedestrian traffic flows
- Modeling of pedestrians