Collective dynamics of higher-order Vicsek model emerging from local conformity interactions
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917163688787968 |
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| author | León, Iván Muolo, Riccardo Nakao, Hiroya Taga, Keisuke |
| author_facet | León, Iván Muolo, Riccardo Nakao, Hiroya Taga, Keisuke |
| contents | We study a system of self-propelled particles whose alignment with neighbors depends on the degree of local alignment. We show that such a local conformity interaction naturally yields a Vicsek-type model with pairwise and three-body interactions. Through numerical and approximate theoretical investigation of its deterministic and stochastic collective dynamics, we identify a novel bidirectionally ordered phase in which the particles move in opposite directions. Moreover, both continuous and discontinuous order-disorder transitions are observed, suggesting that the system belongs to a different universality class from previous models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19318 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Collective dynamics of higher-order Vicsek model emerging from local conformity interactions León, Iván Muolo, Riccardo Nakao, Hiroya Taga, Keisuke Statistical Mechanics Adaptation and Self-Organizing Systems We study a system of self-propelled particles whose alignment with neighbors depends on the degree of local alignment. We show that such a local conformity interaction naturally yields a Vicsek-type model with pairwise and three-body interactions. Through numerical and approximate theoretical investigation of its deterministic and stochastic collective dynamics, we identify a novel bidirectionally ordered phase in which the particles move in opposite directions. Moreover, both continuous and discontinuous order-disorder transitions are observed, suggesting that the system belongs to a different universality class from previous models. |
| title | Collective dynamics of higher-order Vicsek model emerging from local conformity interactions |
| topic | Statistical Mechanics Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2512.19318 |