Jamming transition in two-dimensional pedestrian traffic

Jamming transitions of pedestrian traffic are investigated under the period ic boundary condition on the square lattice by the use of the lattice gas m odel of biased random walkers without the back step. The two cases are pres ented: the one with two types of walkers and the other with four types of w alkers. In the two types of walkers, the first is the random walker going t o the right and the second is the random walker going up. In the four types of walkers, the first, second, third, and fourth are, respectively, the ra ndom walkers going; to the right, left, up, and down. It is found that the dynamical jamming transitions occur at the critical densities. The transiti on points do not depend on the system size for large system but depend stro ngly on the strength of drift. The jamming transitions are compared with th at obtained by the cellular automaton model of car traffic. (C) 2000 Elsevi er Science B.V. All rights reserved.