Zoology of collective patterns modulated by non-reciprocal, long-range interactions
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910095348072448 |
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| author | Brigatti, Edgardo Peruani, Fernando |
| author_facet | Brigatti, Edgardo Peruani, Fernando |
| contents | We investigate active particles that exhibit long-range interactions only restricted by a field of view, which is characterized by an angle $β$. We show that constraining attractive interactions to a field of view leads to the emergence of a complex pattern that exhibits - depending on the value of $β$ and initial conditions - significantly different topologies and transport properties. We find, in two dimensions, a nematic closed filament in the form of a ring that moves as a chiral active particle, a closed polar filament with one singular topological point that exhibits net polar order and moves ballistically, a structure with two singular topological points that rotates, or an open polar filament that behaves as a persistent random walk. Furthermore, we investigate the process that transforms one structure into another by slowly varying $β$ and observe that the process is non-reversible and presents strong hysteresis. Finally, we find that in three dimensions similar patterns also emerge. The analysis sheds light on the physics of single-species active particles with long-range, non-reciprocal interactions in two and three dimensions, characterized by the absence of gas phases, and provides evidence that in these systems, topological and transport properties are closely related. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02672 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Zoology of collective patterns modulated by non-reciprocal, long-range interactions Brigatti, Edgardo Peruani, Fernando Biological Physics Soft Condensed Matter Statistical Mechanics We investigate active particles that exhibit long-range interactions only restricted by a field of view, which is characterized by an angle $β$. We show that constraining attractive interactions to a field of view leads to the emergence of a complex pattern that exhibits - depending on the value of $β$ and initial conditions - significantly different topologies and transport properties. We find, in two dimensions, a nematic closed filament in the form of a ring that moves as a chiral active particle, a closed polar filament with one singular topological point that exhibits net polar order and moves ballistically, a structure with two singular topological points that rotates, or an open polar filament that behaves as a persistent random walk. Furthermore, we investigate the process that transforms one structure into another by slowly varying $β$ and observe that the process is non-reversible and presents strong hysteresis. Finally, we find that in three dimensions similar patterns also emerge. The analysis sheds light on the physics of single-species active particles with long-range, non-reciprocal interactions in two and three dimensions, characterized by the absence of gas phases, and provides evidence that in these systems, topological and transport properties are closely related. |
| title | Zoology of collective patterns modulated by non-reciprocal, long-range interactions |
| topic | Biological Physics Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2505.02672 |