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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

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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
Subjects: Q Science > QA Mathematics
Q Science > QH Natural history > QH301 Biology
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
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:
DateEvent
30 September 2015Published
9 October 2015Accepted
11 June 2015Submitted
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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