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Weakening and disappearance of the jaming behavior in systems of self-propelled particles

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  • Li, Zerun
  • Liu, Wei
  • Wang, Jincheng
  • Xiong, Kezhao
  • Di, Zengru

Abstract

In this study, we utilize the Eigen Microstate Approach (EMA) to investigate the active four-state Potts model, with a focus on the impact of volume repulsion. Our findings reveal that the introduction of long-range interactions significantly weakens or completely eliminates the jamming state, as indicated by changes in the probability curve of the second-largest eigen microstate. The emergence of sub-band structures in the system correlates with the appearance of a two-peak structure in the probability curve. We construct a phase diagram to explore the complex interplay between long-range interactions and emergent system behaviors. Additionally, we conjecture that the active four-state Potts model with long-range interactions undergoes a transition higher than second order.

Suggested Citation

  • Li, Zerun & Liu, Wei & Wang, Jincheng & Xiong, Kezhao & Di, Zengru, 2024. "Weakening and disappearance of the jaming behavior in systems of self-propelled particles," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    • Handle: RePEc:eee:chsofr:v:185:y:2024:i:c:s0960077924006465
    DOI: 10.1016/j.chaos.2024.115094
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    References listed on IDEAS

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    1. Ferdinandy, B. & Ozogány, K. & Vicsek, T., 2017. "Collective motion of groups of self-propelled particles following interacting leaders," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 467-477.
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    3. Hu, Gaoke & Liu, Maoxin & Chen, Xiaosong, 2023. "Quantum phase transition and eigen microstate condensation in the quantum Rabi model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    4. H. Chaté & F. Ginelli & G. Grégoire & F. Peruani & F. Raynaud, 2008. "Modeling collective motion: variations on the Vicsek model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 64(3), pages 451-456, August.
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