Dynamical phases and hysteresis in a simple one-lane traffic model

Details Dynamical phases and hysteresis in a simple one-lane traffic model Dynamical phases and hysteresis in a simple one-lane traffic model

1999-11-18

arxiv.org/abs/cond-mat/9911277v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, latex file and 7 postscript files for figures

Scientific paper

A two parameter model for single lane car-following is introduced and its equilibrium and non-equilibrium properties are studied. Despite its simplicity, this model exhibits a rich phenomenology, analogous to that observed in real traffic, like transitions between different dynamical regimes and hysteresis in the fundamental flux-density diagram. We show that traffic jams can spontaneously appear in clustered-like structures. In the jammed phase, we observe a slow relaxation phenomenon ruled by the outgoing car flux that determines the hysteretic dependence of the fundamental flux-density diagram. Coexisting phase regimes are also evidenced so as propagating or stationary density waves. The model can be easily calibrated to reproduce experimental observations.

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