Frozen shuffle update for an asymmetric exclusion process with open boundary conditions
Statistical Mechanics
2017-09-20 v1 Physics and Society
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.
Keywords
Cite
@article{arxiv.1107.3727,
title = {Frozen shuffle update for an asymmetric exclusion process with open boundary conditions},
author = {C. Appert-Rolland and J. Cividini and H. J. Hilhorst},
journal= {arXiv preprint arXiv:1107.3727},
year = {2017}
}
Comments
22 pages, 8 Figures