Dynamical transition in merging pedestrian flow without bottleneck

Takashi Nagatani

Physica A: Statistical Mechanics and its Applications, 2002, vol. 307, issue 3, 505-515

Abstract: The merging flow model without a bottleneck is presented to mimic the pedestrian channel flow with a meeting point. Two channel flows in front of the meeting point interact one another when the exit density is higher than the maximal-current density. The distinct phase transition occurs by varying the entrance densities. The dynamical phase transition among the low-density, maximal-current, and high-density phases is investigated by the use of the mean-field model. The phase diagram is found numerically and analytically. The merging pedestrian flow is analyzed by using a one-dimensional approximation. The one-dimensional approximation is consistent with the numerical result.

Keywords: Pedestrian flow; Phase transition; Phase diagram; Mean-field approximation (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:307:y:2002:i:3:p:505-515

DOI: 10.1016/S0378-4371(01)00608-2

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