Anti-aligning Self-propelled Model of Two Species: Emergence of Self-organized Heterogeneous Aligned and Clustered Order

TL;DR

This paper demonstrates that in a two-species self-propelled particle system with anti-aligning interactions, inter-species aligning interactions lead to the emergence of global polar order through self-organized clusters.

Contribution

It introduces a novel model where inter-species interactions induce ordered states in anti-aligning self-propelled particles, supported by a mean-field theory analysis.

Findings

Global polar order emerges with inter-species interactions.

Elongated clusters with alternating species form.

Conditions for cluster formation are characterized.

Abstract

Self-propelled particles with anti-aligning interactions generally do not form a polar order. However, in this Letter, we show that when multiple types of such particles coexist and interact through aligning interactions between different species, a global polar order can emerge through the formation of elongated clusters with alternating domains of each species. By developing a mean-field theory, we reveal the conditions for cluster formation and characterize the resulting patterns. Our findings highlight the critical role of inter-species interactions in the emergence of complex ordered states.