Jamming transition in pedestrian counter flow

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 moving state at low density to the stopped state at high density occurs at the critical density. The transition point is given by pc=0.45±0.01, not depending on the system size. The transition point depends on the strength of drift and decreases with increasing drift. Also, we present the extended model to take into account the traffic rule in which a pedestrian walks preferably on the right-hand side of the channel.