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Emergent behavioural phenotypes of swarming models revealed by mimicking a frustrated anti-ferromagnet
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Pearce, Daniel J. G. and Turner, Matthew S. (2015) Emergent behavioural phenotypes of swarming models revealed by mimicking a frustrated anti-ferromagnet. Journal of The Royal Society Interface, 12 (111). 20150520. doi:10.1098/rsif.2015.0520 ISSN 1742-5689.
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Official URL: http://dx.doi.org/10.1098/rsif.2015.0520
Abstract
Self-propelled particle (SPP) models are often compared with animal swarms. However, the collective animal behaviour observed in experiments often leaves considerable unconstrained freedom in the structure of a proposed model. Essentially, multiple models can describe the observed behaviour of animal swarms in simple environments. To tackle this degeneracy, we study swarms of SPPs in non-trivial environments as a new approach to distinguish between candidate models. We restrict swarms of SPPs to circular (periodic) channels where they polarize in one of two directions (like spins) and permit information to pass through windows between neighbouring channels. Co-alignment between particles then couples the channels (anti-ferromagnetically) so that they tend to counter-rotate. We study channels arranged to mimic a geometrically frustrated anti-ferromagnet and show how the effects of this frustration allow us to better distinguish between SPP models. Similar experiments could therefore improve our understanding of collective motion in animals. Finally, we discuss how the spin analogy can be exploited to construct universal logic gates, and therefore swarming systems that can function as Turing machines.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics Q Science > QH Natural history > QH301 Biology |
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| Divisions: | Faculty of Science, Engineering and Medicine > Research Centres > Centre for Complexity Science Faculty of Science, Engineering and Medicine > Research Centres > Molecular Organisation and Assembly in Cells (MOAC) Faculty of Science, Engineering and Medicine > Science > Physics |
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| Library of Congress Subject Headings (LCSH): | Swarming (Zoology), Ferromagnetic materials, Turing machines | ||||||||
| Journal or Publication Title: | Journal of The Royal Society Interface | ||||||||
| Publisher: | The Royal Society Publishing | ||||||||
| ISSN: | 1742-5689 | ||||||||
| Official Date: | 30 September 2015 | ||||||||
| Dates: |
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| Volume: | 12 | ||||||||
| Number: | 111 | ||||||||
| Article Number: | 20150520 | ||||||||
| DOI: | 10.1098/rsif.2015.0520 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||
| Date of first compliant deposit: | 13 January 2016 | ||||||||
| Date of first compliant Open Access: | 18 February 2016 |
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