{ "id": "1107.3727", "version": "v1", "published": "2011-07-19T14:44:28.000Z", "updated": "2011-07-19T14:44:28.000Z", "title": "Frozen shuffle update for an asymmetric exclusion process with open boundary conditions", "authors": [ "C. Appert-Rolland", "J. Cividini", "H. J. Hilhorst" ], "comment": "22 pages, 8 Figures", "categories": [ "cond-mat.stat-mech", "physics.soc-ph" ], "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.", "revisions": [ { "version": "v1", "updated": "2011-07-19T14:44:28.000Z" } ], "analyses": { "keywords": [ "open boundary conditions", "asymmetric exclusion process", "frozen shuffle update", "full phase diagram", "periodic boundary conditions" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1107.3727A" } } }