Asymptotic Dynamics of Self-driven Vehicles in a Closed Boundary

Chi Lun Lee, Chia Ling Huang

Research output: Contribution to journalArticlepeer-review


We study the asymptotic dynamics of self-driven vehicles in a loop using a car-following model with the consideration of volume exclusions. In particular, we derive the dynamical steady states for the single-cluster case and obtain the corresponding fundamental diagrams, exhibiting two branches representative of entering and leaving the jam, respectively. By simulations we find that the speed average over all vehicles eventually reaches the same value, regardless of final clustering states. The autocorrelation functions for overall speed average and single-vehicle speed are studied, each revealing a unique time scale. We also discuss the role of noises in vehicular accelerations. Based on our observations we give trial definitions about the degree of chaoticity for general self-driven many-body systems.

Original languageEnglish
Pages (from-to)813-825
Number of pages13
JournalJournal of Statistical Physics
Issue number4
StatePublished - Aug 2011


  • Autocorrelation functions
  • Dynamical steady state
  • Traffic dynamics


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