DEADLOCKS AND WAITING-TIMES IN TRAFFIC JAM

In a city of right moving and upmoving cars with hardcore constraint, traffic jam occurs in the form of bands. We show how the bands are des troyed by a small number of strictly left moving cars yielding a deadl ock phase with a rough edge of left cars. We also show that the probab ility of waiting time at a signal for a particular tagged car has a po u er-law dependence on time, indicating the absence of any characteris tic time scale for an emergent traffic jam. The exponent is the same f or both the band and the deadlock cases. The significances of these re sults are discussed.