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Phase transition in heterogeneous macro continuum model integrating the jerk effect with the mixed traffic flow involving human driving and ADAS vehicles

Author

Listed:
  • Huili Tan

    (��College of Physical Science and Technology, Guangxi Normal University, Guilin 541004, P. R. China)

  • Yuanlong Sun

    (��Guangxi Key Laboratory of Nuclear Physics and Technology, Guangxi Normal University, Guilin 541004, P. R. China)

  • Guanghan Peng

    (��College of Physical Science and Technology, Guangxi Normal University, Guilin 541004, P. R. China†Guangxi Key Laboratory of Nuclear Physics and Technology, Guangxi Normal University, Guilin 541004, P. R. China)

Abstract

Vehicles equipped with advanced driving assistance systems (ADAS) can acquire information about preceding and following vehicles, which will have an undeniable impact on the phase transition of traffic flow. Therefore, we establish a new heterogeneous continuum model of traffic flow considering the jerk effect mixed with human driving (HD) and ADAS vehicles. The neutral stability condition associated with the permeability of ADAS vehicle is inferred via stability analysis. According to simulation, shock wave occurs, implying that our model can emerge correct wave propagation trend. Moreover, the simulation of density evolution and flow changes also suggests that an increase in ADAS vehicle penetration and jerk effect can enhance traffic system stability and reduce energy consumption.

Suggested Citation

  • Huili Tan & Yuanlong Sun & Guanghan Peng, 2025. "Phase transition in heterogeneous macro continuum model integrating the jerk effect with the mixed traffic flow involving human driving and ADAS vehicles," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 36(06), pages 1-15, June.
  • Handle: RePEc:wsi:ijmpcx:v:36:y:2025:i:06:n:s0129183124502383
    DOI: 10.1142/S0129183124502383
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