Exactly solvable statistical model for two-way traffic

Details Exactly solvable statistical model for two-way traffic Exactly solvable statistical model for two-way traffic

2000-01-26

arxiv.org/abs/cond-mat/0001384v1

Physics

Condensed Matter

Statistical Mechanics

6 pages Latex, submitted to J Phys.A

Scientific paper

10.1088/0305-4470/33/22/303

We generalize a recently introduced traffic model, where the statistical weights are associated with whole trajectories, to the case of two-way flow. An interaction between the two lanes is included which describes a slowing down when two cars meet. This leads to two coupled five-vertex models. It is shown that this problem can be solved by reducing it to two one-lane problems with modified parameters. In contrast to stochastic models, jamming appears only for very strong interaction between the lanes.

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