Lattice Gas Simulation of Pedestrian Flow in a Channel.

Abstract

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 walker going to the left. It is found that a dynamical jamming transition from the freely i moving state at low density to the stopped state at high density occurs at the critical density. The density profiles of walkers are calculated over the channel. It is shown that the pedestrian counter flow can be simulated by the lattice gas model.