Dominating Lengthscales of Zebrafish Collective Behaviour
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916247910744064 |
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| author | Yang, Yushi Turci, Francesco Kague, Erika Hammond, Chrissy L. Russo, John Royall, C. Patrick |
| author_facet | Yang, Yushi Turci, Francesco Kague, Erika Hammond, Chrissy L. Russo, John Royall, C. Patrick |
| contents | Collective behaviour in living systems is observed across many scales, from bacteria to insects, to fish shoals. Zebrafish have emerged as a model system amenable to laboratory study. Here we report a three-dimensional study of the collective dynamics of fifty zebrafish. We observed the emergence of collective behaviour changing between \yy{ordered} to randomised, upon \yy{adaptation} to new environmental conditions. We quantify the spatial and temporal correlation functions of the fish and identify two length scales, the persistence length and the nearest neighbour distance, that capture the essence of the behavioural changes. The ratio of the two length scales correlates robustly with the polarisation of collective motion that we explain with a reductionist model of self--propelled particles with alignment interactions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_09469 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dominating Lengthscales of Zebrafish Collective Behaviour Yang, Yushi Turci, Francesco Kague, Erika Hammond, Chrissy L. Russo, John Royall, C. Patrick Statistical Mechanics Collective behaviour in living systems is observed across many scales, from bacteria to insects, to fish shoals. Zebrafish have emerged as a model system amenable to laboratory study. Here we report a three-dimensional study of the collective dynamics of fifty zebrafish. We observed the emergence of collective behaviour changing between \yy{ordered} to randomised, upon \yy{adaptation} to new environmental conditions. We quantify the spatial and temporal correlation functions of the fish and identify two length scales, the persistence length and the nearest neighbour distance, that capture the essence of the behavioural changes. The ratio of the two length scales correlates robustly with the polarisation of collective motion that we explain with a reductionist model of self--propelled particles with alignment interactions. |
| title | Dominating Lengthscales of Zebrafish Collective Behaviour |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2405.09469 |