Pattern formation and jamming transition in pedestrian counter flow

Abstract

Pattern formation is investigated in the pedestrian counter flow within a channel where there are two types of walkers going to the right and to the left. The lattice gas model of biased random walkers is extended to take into account following the front persons with the same direction (model A). According as the walkers go ahead, the pedestrian segregate into the two kinds of segments: the one is the group of the right walkers and the other is the group of left walkers. Walkers form in line and the two types of walkers file alternately. With increasing density, the filing appears distinctly. When the density is higher than the critical value, all walkers are hard to go ahead and the jamming transition occurs. Model B is also presented to take into account avoiding the front persons with the opposite direction. The pattern formation and jamming transition are compared with those of model A.