Abstract
A traffic-flow problem is investigated for a network of city roads on a square lattice with s decorated sites on each bond, where we set s to 1, 2, …, or 10. We assume that a car may locate at a usual lattice site or at a decorated site. We construct microscopic equations for dynamics of car-moving and then study the model by using numerical simulations. We find that there is a phase transition of the first-order type from a free-moving phase to a traffic-jammed phase, regardless of value of s.
