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Phase transitions and spectral entropy of heterogeneous vehicles comprised of CAVs and HDVs in flux restriction scenarios

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  • Jin, Can
  • Qing, Li
  • Zhu, Meilan
  • Peng, Guanghan

Abstract

The shape of roads and physical facilities are important factors that affect traffic operation. Therefore, on many road sections, flux restriction measures are adopted to cope with traffic safety and smoothness under complex road conditions. Accordingly, the flux restriction information is more easily obtained by connected autonomous vehicles (CAVs) than human driven vehicles (HDVs). Subsequently, the flux restriction difference effect (FRDE) is supplied to create a heterogeneous lattice model comprised of CAVs and HDVs. Additionally, both linear and nonlinear analyses are executed to investigate the FRDE impact on phase transitions. Moreover, the density variation and the density difference are explored to state the influence of FRDE on mixed traffic congestions from two factors involving the penetration of CAVs and the FRDE through simulation. Also, based on power spectrum theory, we investigate the spectral entropy to reveal the impact of the penetration of CAVs and the FRDE on mixed traffic from deep perspective via simulation.

Suggested Citation

  • Jin, Can & Qing, Li & Zhu, Meilan & Peng, Guanghan, 2025. "Phase transitions and spectral entropy of heterogeneous vehicles comprised of CAVs and HDVs in flux restriction scenarios," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    • Handle: RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924015145
    DOI: 10.1016/j.chaos.2024.115962
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    1. Nagatani, Takashi, 1998. "Modified KdV equation for jamming transition in the continuum models of traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 599-607.
    2. Al-Darabsah, Isam & Hsueh, Kuei-Fang & Khalil, Abdelrahman & Al Janaideh, Mohammad & Campbell, Sue Ann & Kundur, Deepa, 2024. "Validation of an autonomous vehicle platoons model with time-varying communication delays," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    3. Verma, Muskan & Singla, Tanvi & Gupta, Arvind Kumar & Sharma, Sapna, 2024. "The role of occupancy on traffic flow in a multiple-loop network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 638(C).
    4. Peng, Guanghan & Wang, Wanlin & Tan, Huili, 2024. "Phase transitions in a heterogeneous lattice hydrodynamic model involving both communication distance and memory time duration differences," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    5. Peng, Guanghan & Wu, Kunning & Tan, Huili, 2024. "Bifurcation and phase transitions in heterogeneous non-lane-discipline-based car-following model integrating cooperative feedback control under automated and human-driven vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    6. Wang, Zhengwu & Chen, Tao & Wang, Yi & Li, Hao, 2024. "A cellular automaton model for mixed traffic flow considering the size of CAV platoon," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 643(C).
    7. Verma, Muskan & Sharma, Sapna, 2022. "Chaotic jam and phase transitions in a lattice model with density dependent passing," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    8. Nagatani, Takashi, 1999. "TDGL and MKdV equations for jamming transition in the lattice models of traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(3), pages 581-592.
    9. 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).
    10. Verma, Muskan & Sharma, Sapna, 2023. "Modeling heterogeneity in an open percolation backbone fractal traffic network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 619(C).
    11. 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).
    12. Zhai, Cong & Li, Kening & Zhang, Ronghui & Peng, Tao & Zong, Changfu, 2024. "Phase diagram in multi-phase heterogeneous traffic flow model integrating the perceptual range difference under human-driven and connected vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    13. Nagatani, Takashi, 1999. "Jamming transition of high-dimensional traffic dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(3), pages 592-611.
    14. Peng, Yong & Liu, Shijie & Yu, Dennis Z., 2020. "An improved car-following model with consideration of multiple preceding and following vehicles in a driver’s view," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    15. Verma, Muskan & Sharma, Sapna, 2023. "The role of occupancy and transition rate on traffic flow in a percolation-backbone fractal," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    16. Xie, Jiemin & Chen, Mengqi & You, Linlin & Jiang, Gege & Wu, Junxian & Sun, Tuo & Hao, Ruochen, 2024. "Cellular automaton model for the analysis of design and plan of bus station in the mixed traffic environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 653(C).
    17. Peng, Guanghan & Xu, Mingzuo & Tan, Huili, 2024. "Congestion and phase transitions of heterogeneous continuum model with large trucks mixed with conventional vehicles and ACC vehicles," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    18. Peng, Guanghan & Luo, Chunli & Zhao, Hongzhuan & Tan, Huili, 2024. "Phase transitions of dual-lane lattice model incorporating cyber-attacks on lane change involving inflow and outflow under connected vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    19. Kokubo, Satoshi & Tanimoto, Jun & Hagishima, Aya, 2011. "A new Cellular Automata Model including a decelerating damping effect to reproduce Kerner’s three-phase theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(4), pages 561-568.
    20. 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).
    21. Nagatani, Takashi, 1999. "Jamming transitions and the modified Korteweg–de Vries equation in a two-lane traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 265(1), pages 297-310.
    22. 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).
    23. Zhai, Cong & Zhang, Ronghui & Peng, Tao & Zhong, Changfu & Xu, Hongguo, 2023. "Heterogeneous lattice hydrodynamic model and jamming transition mixed with connected vehicles and human-driven vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 623(C).
    24. G. F. Newell, 1961. "Nonlinear Effects in the Dynamics of Car Following," Operations Research, INFORMS, vol. 9(2), pages 209-229, April.
    25. 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).
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    Cited by:

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