We study the unidirectional flow of a binary mixture of biased-random walkers on square lattice under a periodic boundary. The lattice–gas mixture consists of two types of walkers which have different biases (drift coefficients). The characteristics of unidirectional flow are clarified...

We study the escape-time distribution of crowd in the evacuation process through an exit from a hall. The evacuation process is simulated by the use of the lattice-gas model of pedestrian. The spatio-temporal distribution of escape time is derived. The escape time of a person depends highly on...

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...

We study the freezing transition in the counter flow of pedestrians within the channel numerically and analytically. We present the mean-field approximation (MFA) model for the pedestrian counter flow. The model is described in terms of a couple of nonlinear difference equations. The...

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...

Pedestrian counter flow is investigated by experiment and simulation. The experiment is performed for the channel with open boundaries. Two types of walkers, going to the right and to the left, are taken into account. The video recordings and measurements of individual arrival times are...

We study the unidirectional flow of mobile objects through obstacles on a square lattice. Two models are presented: one is the lattice gas model consisting of translational particles and the other is that of turning particles. Fundamental diagrams for the two models are presented. The traffic...

We study the counter flow of slender particles on square lattice under a periodic boundary where each particle consists of 1×n sites. Two types of particles going to the right and to the left are taken into account. The characteristics of counter flow are clarified numerically. The jamming...

We study the lattice gas flow of two components of biased-random walkers at a crossing under a periodic boundary. The lattice gas mixture consists of two components of particles (walkers) in which one component of particles moves north and the other component of particles moves east. The current...

A lattice gas model with biased random walkers is presented to mimic the pedestrian counter flow in a channel under the open boundary condition of constant density. There are two types of walkers without the back step: the one is the random walker going to the right and the other is the random...