Mechanism of the jamming transition in the two-dimensional traffic networks. II

The jamming transition in a two-dimensional traffic network is investigated based upon the cellular automaton simulations, where the update rule is deterministic, though the initial car configuration is randomly set. The lifetime of the system is defined as the time until when all cars in the system come to a stop, and it will increase with decreasing car density from a higher density side. The critical car density is defined as the car density, at which the corresponding lifetime diverges. The analytical expression for the critical car density is proposed.