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Non-local interactions in collective motion
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King, Arthur E. B. T. and Turner, Matthew S. (2021) Non-local interactions in collective motion. Royal Society Open Science , 8 (3). 201536. doi:10.1098/rsos.201536 ISSN 2054-5703.
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Official URL: https://doi.org/10.1098/rsos.201536
Abstract
The collective motion of animal groups often exhibits velocity-velocity correlations between nearest neighbours, with the strongest velocity correlations observed at the shortest inter-animal spacings. This may have been a motivational factor in the development of models based primarily on short-ranged interactions. Here we ask whether such observations necessarily mean that the interactions are short-ranged. We develop a minimal model of collective motion capable of supporting interactions of arbitrary range and show that it represents a counterexample: the strongest velocity correlations emerge at the shortest distances, even when the interactions are explicitly non-local.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics Q Science > QH Natural history |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||||
SWORD Depositor: | Library Publications Router | ||||||||
Library of Congress Subject Headings (LCSH): | Biocomplexity, Biophysics -- Research, Applied mathematics | ||||||||
Journal or Publication Title: | Royal Society Open Science | ||||||||
Publisher: | The Royal Society Publishing | ||||||||
ISSN: | 2054-5703 | ||||||||
Official Date: | March 2021 | ||||||||
Dates: |
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Volume: | 8 | ||||||||
Number: | 3 | ||||||||
Article Number: | 201536 | ||||||||
DOI: | 10.1098/rsos.201536 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||
Date of first compliant deposit: | 19 November 2021 | ||||||||
Date of first compliant Open Access: | 19 November 2021 | ||||||||
RIOXX Funder/Project Grant: |
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