Dynamical transition and scaling in a mean-field model of pedestrian flow at a bottleneck

Takashi Nagatani

Physica A: Statistical Mechanics and its Applications, 2001, vol. 300, issue 3, 558-566

Abstract: A mean-field model is presented to mimic the pedestrian channel flow with a bottleneck. The pedestrian flow is described by the mean-field rate equation on the square lattice. The dynamical transition from the free flow to the choking flow is studied by carrying out a numerical simulation for the mean-field rate equation under open boundary conditions. The phase diagram is found numerically and analytically. The scaling behavior is investigated for the transition point and the saturated flow rate in the choking-flow region. It is shown that the transition point does not depend on the strength of drift. The transition point and saturated flow rate agree with those obtained by a one-dimensional approximation.

Keywords: Pedestrian flow; Phase transition; Scaling; Mean-field theory (search for similar items in EconPapers)
Date: 2001
References: View complete reference list from CitEc
Citations: View citations in EconPapers (8)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437101003661
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:300:y:2001:i:3:p:558-566

DOI: 10.1016/S0378-4371(01)00366-1

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().