Nonreciprocal yet Symmetric Multi-Species Active Matter: Emergence of Chirality and Species Separation
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908726115434496 |
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| author | Woo, Chul-Ung Rieger, Heiko Noh, Jae Dong |
| author_facet | Woo, Chul-Ung Rieger, Heiko Noh, Jae Dong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18749 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonreciprocal yet Symmetric Multi-Species Active Matter: Emergence of Chirality and Species Separation Woo, Chul-Ung Rieger, Heiko Noh, Jae Dong Statistical Mechanics 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. |
| title | Nonreciprocal yet Symmetric Multi-Species Active Matter: Emergence of Chirality and Species Separation |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2512.18749 |