Scaling of pedestrian channel flow with a bottleneck

Yusuke Tajima, Kouhei Takimoto and Takashi Nagatani

Physica A: Statistical Mechanics and its Applications, 2001, vol. 294, issue 1, 257-268

Abstract: Pedestrian channel flow at a bottleneck is investigated under the open boundaries by using the lattice-gas model of biased random walkers. It is shown that a dynamical phase transition occurs from the free flow to the choking flow at a critical density pc with increasing density. The flow rate saturates at higher density than the critical density. In the choking-flow region, a scaling behavior is found as follows: the saturated flow rate Js scales as Js∝d0.93±0.02 and the critical density pc scales as pc∝(d/W)1.16±0.02, where d is the width of the bottleneck and W is the width of channel. The plot of the rescaled flow rate against the rescaled density collapses onto a single curve.

Keywords: Pedestrian flow; Scaling; Phase transition; Choking (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (16)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:294:y:2001:i:1:p:257-268

DOI: 10.1016/S0378-4371(01)00109-1

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