Swarming Lattice in Frustrated Vicsek-Kuramoto Systems
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918258728239104 |
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| author | Lu, Yichen Guo, Yingshan Zhang, Yiyi Zhu, Tong Zheng, Zhigang |
| author_facet | Lu, Yichen Guo, Yingshan Zhang, Yiyi Zhu, Tong Zheng, Zhigang |
| contents | We introduce a frustration parameter $α$ into the Vicsek-Kuramoto systems of self-propelled particles. While the system exhibits conventional synchronized states, such as global phase synchronization and swarming, for low frustration ($α< π/2$), beyond the critical point $α= π/2$, a Hopf-Turing bifurcation drives a transition to a resting hexagonal lattice, accompanied by spatiotemporal patterns such as vortex lattices and dual-cluster lattices with oscillatory unit-cell motions. Lattice dominance is governed by coupling strength and interaction radius, with a clear parametric boundary balancing pattern periodicity and particle dynamics. Our results demonstrate that purely orientational interactions are sufficient to form symmetric lattices, challenging the necessity of spatial forces and illuminating the mechanisms driving lattice formation in active matter systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_08913 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Swarming Lattice in Frustrated Vicsek-Kuramoto Systems Lu, Yichen Guo, Yingshan Zhang, Yiyi Zhu, Tong Zheng, Zhigang Adaptation and Self-Organizing Systems Soft Condensed Matter We introduce a frustration parameter $α$ into the Vicsek-Kuramoto systems of self-propelled particles. While the system exhibits conventional synchronized states, such as global phase synchronization and swarming, for low frustration ($α< π/2$), beyond the critical point $α= π/2$, a Hopf-Turing bifurcation drives a transition to a resting hexagonal lattice, accompanied by spatiotemporal patterns such as vortex lattices and dual-cluster lattices with oscillatory unit-cell motions. Lattice dominance is governed by coupling strength and interaction radius, with a clear parametric boundary balancing pattern periodicity and particle dynamics. Our results demonstrate that purely orientational interactions are sufficient to form symmetric lattices, challenging the necessity of spatial forces and illuminating the mechanisms driving lattice formation in active matter systems. |
| title | Swarming Lattice in Frustrated Vicsek-Kuramoto Systems |
| topic | Adaptation and Self-Organizing Systems Soft Condensed Matter |
| url | https://arxiv.org/abs/2511.08913 |