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

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 equati on on the square lattice. The dynamical transition from the free flow to th e choking flow is studied by carrying out a numerical simulation for the me an-field rate equation under open boundary conditions. The phase diagram is found numerically and analytically. The scaling behavior is investigated f or the transition point and the saturated flow rate in the choking-flow reg ion. 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 obt ained by a one-dimensional approximation. (C) 2001 Elsevier Science BN. All rights reserved.