Symmetry associated with symmetry break: Revisiting ants and humans escaping from multiple-exit rooms

Q. Ji, C. Xin, S.X. Tang and J.P. Huang

Physica A: Statistical Mechanics and its Applications, 2018, vol. 492, issue C, 941-947

Abstract: Crowd panic has incurred massive injuries or deaths throughout the world, and thus understanding it is particularly important. It is now a common knowledge that crowd panic induces “symmetry break” in which some exits are jammed while others are underutilized. Amazingly, here we show, by experiment, simulation and theory, that a class of symmetry patterns come to appear for ants and humans escaping from multiple-exit rooms while the symmetry break exists. Our symmetry pattern is described by the fact that the ratio between the ensemble-averaging numbers of ants or humans escaping from different exits is equal to the ratio between the widths of the exits. The mechanism lies in the effect of heterogeneous preferences of agents with limited information for achieving the Nash equilibrium. This work offers new insights into how to improve public safety because large public areas are always equipped with multiple exits, and it also brings an ensemble-averaging method for seeking symmetry associated with symmetry breaking.

Keywords: Active matter; Panic escape; Symmetry break; Agent-based model; Human experiment (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:492:y:2018:i:c:p:941-947

DOI: 10.1016/j.physa.2017.11.024

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