Two dimensional outflows for cellular automata with shuffle updates. (21st October 2015)

• Record Type: Journal Article
• Authors: Arita, Chikashi; Cividini, Julien; Appert-Rolland, Cécile
• Is Part Of: Journal of statistical mechanics. (2015:Oct.)
• Publication Date: 2015-10-21
• Subjects: 4 -- 12; 4/010 -- 4/050 -- 12/120; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2015/10/P10019
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: In this paper, we explore the two-dimensional behavior of cellular automata with shuffle updates. As a test case, we consider the evacuation of a square room by pedestrians modeled by a cellular automaton model with a static floor field. Shuffle updates are characterized by a variable associated to each particle and called phase, that can be interpreted as the phase in the step cycle in the frame of pedestrian flows. Here we also introduce a dynamics for these phases, in order to modify the properties of the model. We investigate in particular the crossover between low- and high-density regimes that occurs when the density of pedestrians increases, the dependency of the outflow in the strength of the floor field, and the shape of the queue in front of the exit. Eventually we discuss the relevance of these results for pedestrians.