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

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.