Novel phase transition in collective motion with appearance of abnormal agents

TL;DR

This paper explores a new phase transition in collective motion caused by abnormal agents moving opposite to normal agents, revealing complex dynamics and potential applications in multi-particle systems.

Contribution

Introduces abnormal agents with opposite movement, defining a new order parameter, and studies their impact on collective motion phase transitions.

Findings

System transitions from ordered to disordered states as abnormal agent density increases.

Size, speed, and sight radius significantly influence collective dynamics.

Model explains phenomena involving multiple particle types and interactions.

Abstract

We introduce a novel type of abnormal agents that proceed in the opposite direction of that defined for the normal agents. A new order parameter, $y$, is introduced to describe the characteristic of the system. Many interesting phenomenons emerge as the number of abnormal agents number shifts, e.g., the system may transform into a new phase (from $y\sim 1$ to $y\sim -1$) suddenly with abnormal agents getting denser, or stay disordered forever. A variety of other properties like size effect, agent speed and sight radii that have impacts on the new collective dynamics are also studied in detail. We suggest that our model or its modified versions can be applied to explain a variety of phenomenons with multiple kinds of particles interacting with each other and shape the system dynamics.