Asymptotic dynamics of closed-boundary vehicular traffic

Details Asymptotic dynamics of closed-boundary vehicular traffic Asymptotic dynamics of closed-boundary vehicular traffic

2010-09-08

arxiv.org/abs/1009.1461v1

J. Stat. Phys. 144, 813 (2011)

Physics

Physics and Society

7 pages, 8 figures

Scientific paper

10.1007/s10955-011-0262-3

We study the dynamics of vehicular traffic in a loop using a car-following model with the consideration of volume exclusions. In particular, we solve the steady state for the single-cluster case and derive fundamental diagrams, exhibiting two branches representative of entering and leaving the jam, respectively. By simulations we also observe that the speed average over all vehicles reaches the same constant at the steady states, regardless of the final clustering state. The autocorrelation functions for the overall speed average and single vehicle speed are investigated, each revealing a robust time scale. The effects of noises in vehicular acceleration are discussed.

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