Exactly solvable statistical model for two-way traffic
统计力学
2009-10-31 v1
摘要
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.
引用
@article{arxiv.cond-mat/0001384,
title = {Exactly solvable statistical model for two-way traffic},
author = {Vladislav Popkov and Ingo Peschel},
journal= {arXiv preprint arXiv:cond-mat/0001384},
year = {2009}
}
备注
6 pages Latex, submitted to J Phys.A