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Energy dissipation in the Nagel-Schreckenberg model with open boundary condition

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  • Wei Zhang
  • Wei Zhang

Abstract

In this paper, we numerically investigate energy dissipation caused by traffic in the Nagel-Schreckenberg (NaSch) model with open boundary conditions (OBC). Boundary results in excess energy dissipation. The effects of the stochastic boundary conditions on energy dissipation are discussed. The behaviors of energy dissipation in different traffic phase are distinct. As an order parameter, energy dissipation rate E d characterizes the phase transition behaviors well. It is shown that there is no true free-flow state in nondeterministic NaSch model with OBC. We refer to this non-true free-flow state as quasi-free-flow (QFF) phase in which there are interactions between vehicles caused by stochastic braking but no backward moving jam exists. In the maximum current phase, E d is minimal thus the social payoff is maximal. Energy dissipation profiles in QFF, jammed and maximum current phase are presented. Theoretical analyses are in good agreement with numerical results for the case v max =1. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Wei Zhang & Wei Zhang, 2014. "Energy dissipation in the Nagel-Schreckenberg model with open boundary condition," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(1), pages 1-8, January.
    • Handle: RePEc:spr:eurphb:v:87:y:2014:i:1:p:1-8:10.1140/epjb/e2013-40506-4
    DOI: 10.1140/epjb/e2013-40506-4
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    Cited by:

    1. Pérez Cruz, José Roberto & Lakouari, Noureddine & Marzoug, Rachid & Pérez Sansalvador, Julio César, 2023. "Pedestrian–vehicle interactions at unsignalized mid-block crosswalks: Effects on traffic flow, CO2 emissions, and energy dissipation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).

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    Keywords

    Statistical and Nonlinear Physics;

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