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Journal of Statistical Physics

, Volume 177, Issue 4, pp 588–607 | Cite as

Interpreting Traffic on a Highway with On/Off Ramps in the Light of TASEP

  • Reihaneh Kouhi Esfahani
  • Norbert KernEmail author
Article
  • 67 Downloads

Abstract

We raise the question whether a simple model for traffic, generic but based on microscopic rules, can provide an additional angle for interpreting flow through a road system. Using the totally simple exclusion process (TASEP) on a road segment with ramps, we show that measuring the flow directly at the road junctions may be a useful setup. We show that the presence of junctions affects the characterisation of traffic, suggesting that interpretations in terms of a 2-phase or a 3-phase description may be complementary, rather than contradictory. We furthermore argue that hysteresis-like features can appear in a system with junctions, which is intriguing as the TASEP dynamics as such do not lead to hysteresis. We discuss our findings in the light of boundary-driven phase transitions.

Keywords

TASEP dynamics Traffic flow Fundamental diagram Microscopic traffic models Hysteresis effect Traffic phases 

Notes

Acknowledgements

We would like to thank Prof. Meisam Akbarzadeh and Prof. Farhad Shahbazi for encouraging this collaboration. R. K.-I. wishes to thank Isfahan municipality for financial support of her PhD.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of PhysicsIsfahan University of TechnologyIsfahanIran
  2. 2.Laboratoire Charles Coulomb (L2C)University of Montpellier, CNRSMontpellierFrance

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