2025/12/21 by Chul-Ung Woo, Woo, Chul-Ung, Heiko Rieger +3
Computer Science · Engineering · Physics and Astronomy · #Distributed Control Multi-Agent Systems #FOS: Physical sciences #Micro and Nano Robotics #Modular Robots and Swarm Intelligence #Statistical Mechanics (cond-mat.stat-mech)
paper · doi:10.48550/arxiv.2512.18749
openalex publication_date 2025/12/21 · openalex created_date 2025/12/24 · openalex updated_date 2026/07/28
Nonreciprocal active matter systems typically feature an asymmetric role among interacting agents, such as a pursuer-evader relationship. We propose a multi-species nonreciprocal active matter model that is invariant under permutations of the particle species. The nonreciprocal, yet symmetric, interactions emerge from a constant phase shift in the velocity alignment interactions, rather than from an asymmetric coupling matrix. This system possessing permutation symmetry displays rich collective behaviors, including a species-mixed chiral phase with quasi-long-range polar order and a species separation phase characterized by vortex cells. The system also displays a coexistence phase of the chiral and the species separation phases, in which intriguing dynamic patterns emerge. These rich collective behaviors are a consequence of the interplay between nonreciprocity and permutation symmetry.