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Non-concave fundamental diagrams and phase transitions in a stochastic traffic cellular automaton

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  • S. Maerivoet
  • B. Moor

Abstract

Within the class of stochastic cellular automata models of traffic flows, we look at the velocity dependent randomization variant (VDR-TCA) whose parameters take on a specific set of extreme values. These initial conditions lead us to the discovery of the emergence of four distinct phases. Studying the transitions between these phases, allows us to establish a rigorous classification based on their tempo-spatial behavioral characteristics. As a result from the system’s complex dynamics, its flow-density relation exhibits a non-concave region in which forward propagating density waves are encountered. All four phases furthermore share the common property that moving vehicles can never increase their speed once the system has settled into an equilibrium. Copyright Springer-Verlag Berlin/Heidelberg 2004

Suggested Citation

  • S. Maerivoet & B. Moor, 2004. "Non-concave fundamental diagrams and phase transitions in a stochastic traffic cellular automaton," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 42(1), pages 131-140, November.
    • Handle: RePEc:spr:eurphb:v:42:y:2004:i:1:p:131-140
    DOI: 10.1140/epjb/e2004-00365-8
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    Cited by:

    1. Simão, Ricardo, 2021. "Evolution of behaviors in heterogeneous traffic models as driven annealed disorders and its relation to the n-vector model," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).

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