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

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

Chaos, Solitons & Fractals, 2024, vol. 185, issue C

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.

Keywords: Eigen microstate approach; Active four-state Potts model; Long-range interactions; Jaming state (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:185:y:2024:i:c:s0960077924006465

DOI: 10.1016/j.chaos.2024.115094

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