Deadlocks and waiting times in traffic jam

Details Deadlocks and waiting times in traffic jam Deadlocks and waiting times in traffic jam

1997-04-27

arxiv.org/abs/cond-mat/9704217v1

Physics

Condensed Matter

Statistical Mechanics

8 pages including 4 eps figures, one in colour, uses revtex to appear in Physica A

Scientific paper

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 destroyed by a small number of strictly left moving cars yielding a deadlock phase with a rough edge of left cars. We also show that the probability of waiting time at a signal for a particular tagged car has a power law dependence on time, indicating the absence of any characteristic time scale for an emergent traffic jam. The exponent is same for both the band and the deadlock cases. The significances of these results are discussed.

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