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Two-lane totally asymmetric exclusion processes with particle creation and annihilation

Author

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  • Jiang, Rui
  • Wang, Ruili
  • Wu, Qing-Song

Abstract

This paper studies two-lane totally asymmetric simple exclusion processes (TASEP) coupled with particle creation and annihilation in one of the two lanes (lane 2). The dependence of the density profiles of both lanes on the lane-change rate Ω is investigated. It is shown that with the increase of Ω, a complex behavior on both lanes occurs. Synchronization of the shocks in both lanes occurs when Ω exceeds a threshold Ωc≈10. A boundary layer is also observed at the left boundary as a finite-size effect. The situations arising from very large creation/annihilation rate and very small creation/annihilation rate are also investigated. The mean-field analysis is presented and it agrees well with Monte Carlo simulations.

Suggested Citation

  • Jiang, Rui & Wang, Ruili & Wu, Qing-Song, 2007. "Two-lane totally asymmetric exclusion processes with particle creation and annihilation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(1), pages 247-256.
    • Handle: RePEc:eee:phsmap:v:375:y:2007:i:1:p:247-256
    DOI: 10.1016/j.physa.2006.08.025
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    Citations

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    Cited by:

    1. Verma, Atul Kumar & N.C, Priyanka, 2023. "Re-appearance of phases in the phase diagram of asymmetrically coupled two-lane exclusion process," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    2. Yan, Chunyue & Ge, Hongxia & Cheng, Rongjun, 2019. "An extended car-following model by considering the optimal velocity difference and electronic throttle angle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    3. Hossain, Md. Anowar & Tanimoto, Jun, 2022. "A microscopic traffic flow model for sharing information from a vehicle to vehicle by considering system time delay effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    4. Chen, Can & Cheng, Rongjun & Ge, Hongxia, 2019. "An extended car-following model considering driver’s sensory memory and the backward looking effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 278-289.
    5. Hongxia Ge & Siteng Li & Chunyue Yan, 2021. "An Extended Car-Following Model Based on Visual Angle and Electronic Throttle Effect," Mathematics, MDPI, vol. 9(22), pages 1-17, November.
    6. S, Tamizhazhagan & Verma, Atul Kumar, 2022. "Reentrance transition in two lane bidirectional transport system with bottlenecks," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).

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