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An extended lattice model accounting for traffic jerk

Author

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  • Redhu, Poonam
  • Siwach, Vikash

Abstract

In this paper, a flux difference lattice hydrodynamics model is extended by considering the traffic jerk effect which comes due to vehicular motion of non-motor automobiles. The effect of traffic jerk has been examined through linear stability analysis and shown that it can significantly enlarge the unstable region on the phase diagram. To describe the phase transition of traffic flow, mKdV equation near the critical point is derived through nonlinear stability analysis. The theoretical findings have been verified using numerical simulation which confirms that the jerk parameter plays an important role in stabilizing the traffic jam efficiently in sensing the flux difference of leading sites.

Suggested Citation

  • Redhu, Poonam & Siwach, Vikash, 2018. "An extended lattice model accounting for traffic jerk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1473-1480.
    • Handle: RePEc:eee:phsmap:v:492:y:2018:i:c:p:1473-1480
    DOI: 10.1016/j.physa.2017.11.074
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    Citations

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    Cited by:

    1. Wang, Jufeng & Sun, Fengxin & Ge, Hongxia, 2019. "An improved lattice hydrodynamic model considering the driver’s desire of driving smoothly," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 119-129.
    2. Peng, Guanghan & Luo, Chunli & Zhao, Hongzhuan & Tan, Huili, 2023. "Jamming transition in two-lane lattice model integrating the deception attacks on influx during the lane-changing process under vehicle to everything environment," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    3. Chang, Yinyin & He, Zhiting & Cheng, Rongjun, 2019. "Analysis of the historical time integral form of relative flux and feedback control in an extended lattice hydrodynamic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 326-334.
    4. Zhang, Yu & Wang, Sha & Pan, Dong-bo & Zhang, Geng, 2021. "Stability analysis for a new lattice hydrodynamic model with time-varying delay in sensing traffic flux," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    5. Peng, Guanghan & Zhu, Meilan & Tan, Huili, 2024. "Jams and phase transitions in heterogeneous lattice model integrating the continuous delayed feedback control to boycott cyber-attacks under connected autonomous and human driven vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    6. Peng, Guanghan & Huang, Yixin & Tan, Huili, 2024. "Phase transitions and congestion of heterogeneous lattice hydrodynamics model considering delayed difference feedback control in connected autonomous vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    7. Shubham Mehta & Raveena Dangi & Vikash Siwach & Poonam Redhu, 2025. "Effect of weather’s visibility on traffic dynamics: a novel lattice hydrodynamic model for curved roads with passing," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 98(1), pages 1-9, January.
    8. Shuhong Yang & Bin Huang & Chuan Tian & Yirong Kang, 2025. "Modeling a Multi-Lane Highway System Considering the Combined Impacts of Overtaking Mechanisms and Aggressive Lane-Changing Behaviors," Mathematics, MDPI, vol. 13(8), pages 1-24, April.
    9. Peng, Guanghan & Li, Xinhai & Wang, Hailing & Tan, Huili, 2024. "Bifurcation and phase transitions in car-following model integrating driver's characteristic and speed limit on spiral slope roads," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    10. Siwach, Vikash & Yadav, Darshana & Redhu, Poonam, 2025. "Enhancing driver’s attention and overtaking efficiency in car-following model for Advanced Driver Assistance Systems (ADAS) vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 657(C).
    11. Yadav, Sunita & Redhu, Poonam, 2024. "Impact of driving prediction on headway and velocity in car-following model under V2X environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).
    12. Wang, Tao & Li, Guangyao & Zhang, Jing & Li, Shubin & Sun, Tao, 2019. "The effect of Headway Variation Tendency on traffic flow: Modeling and stabilization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 566-575.
    13. Zhai, Cong & Wu, Weitiao & Xiao, Yingping, 2023. "The jamming transition of multi-lane lattice hydrodynamic model with passing effect," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).

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