Effects of coupling range on the dynamics of swarmalators
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910708825849856 |
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| author | Sar, Gourab Kumar O'Keeffe, Kevin Ghosh, Dibakar |
| author_facet | Sar, Gourab Kumar O'Keeffe, Kevin Ghosh, Dibakar |
| contents | We study a variant of the one-dimensional swarmalator model where the units' interactions have a controllable length scale or range. We tune the model from the long-range regime, which is well studied, into the short-range regime, which is understudied, and find diverse collective states: sync dots, where the swarmalators arrange themselves into k>1 delta points of perfect synchrony, q-waves, where the swarmalators form spatiotemporal waves with winding number q>1, and an active state where unsteady oscillations are found. We present the phase diagram and derive most of the threshold boundaries analytically. These states may be observable in real-world swarmalator systems with low-range coupling such as biological microswimmers or active colloids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_14851 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effects of coupling range on the dynamics of swarmalators Sar, Gourab Kumar O'Keeffe, Kevin Ghosh, Dibakar Adaptation and Self-Organizing Systems We study a variant of the one-dimensional swarmalator model where the units' interactions have a controllable length scale or range. We tune the model from the long-range regime, which is well studied, into the short-range regime, which is understudied, and find diverse collective states: sync dots, where the swarmalators arrange themselves into k>1 delta points of perfect synchrony, q-waves, where the swarmalators form spatiotemporal waves with winding number q>1, and an active state where unsteady oscillations are found. We present the phase diagram and derive most of the threshold boundaries analytically. These states may be observable in real-world swarmalator systems with low-range coupling such as biological microswimmers or active colloids. |
| title | Effects of coupling range on the dynamics of swarmalators |
| topic | Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2411.14851 |