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Clogging transition of pedestrian flow in T-shaped channel. (English) Zbl 0978.90020
Summary: Pedestrian flow is investigated under the open boundaries in a T-shaped channel where the branch flow joins the main flow at the junction. The pedestrian merging flow is simulated by the use of the lattice-gas model of biased random walkers. When the main flow rate increases under the constant value of branch flow rate, the clogging transitions occur at the main flow or branch flow or both flows. It is shown that the dynamical phase transitions depend on both inlet densities. The four distinct phases are found. The phase diagram is presented for the distinct phases. The scaling of saturated flow rate and transition point is shown. The flow rate exhibits the universal scaling form.
MSC:
90B20Traffic problems
82C99Time-dependent statistical mechanics