An equation of state for insect swarms.

Michael Sinhuber, Kasper van der Vaart, Yenchia Feng, Andrew M Reynolds, Nicholas T Ouellette
Author Information
  1. Michael Sinhuber: Department of Civil and Environmental Engineering, Stanford University, Stanford, CA, 94305, USA.
  2. Kasper van der Vaart: Department of Civil and Environmental Engineering, Stanford University, Stanford, CA, 94305, USA.
  3. Yenchia Feng: Department of Civil and Environmental Engineering, Stanford University, Stanford, CA, 94305, USA.
  4. Andrew M Reynolds: Rothamsted Research, Harpenden, Hertfordshire, AL5 2JQ, UK.
  5. Nicholas T Ouellette: Department of Civil and Environmental Engineering, Stanford University, Stanford, CA, 94305, USA. nto@stanford.edu.

Abstract

Collective behaviour in flocks, crowds, and swarms occurs throughout the biological world. Animal groups are generally assumed to be evolutionarily adapted to robustly achieve particular functions, so there is widespread interest in exploiting collective behaviour for bio-inspired engineering. However, this requires understanding the precise properties and function of groups, which remains a challenge. Here, we demonstrate that collective groups can be described in a thermodynamic framework. We define an appropriate set of state variables and extract an equation of state for laboratory midge swarms. We then drive swarms through "thermodynamic" cycles via external stimuli, and show that our equation of state holds throughout. Our findings demonstrate a new way of precisely quantifying the nature of collective groups and provide a cornerstone for potential future engineering design.

References

  1. J R Soc Interface. 2014 Oct 6;11(99): [PMID: 25121646]
  2. Phys Rev Lett. 2016 Jul 15;117(3):038103 [PMID: 27472145]
  3. PLoS Comput Biol. 2013;9(3):e1002961 [PMID: 23555206]
  4. Nature. 2019 Mar;567(7748):361-365 [PMID: 30894722]
  5. Nat Mater. 2016 Jan;15(1):54-9 [PMID: 26501413]
  6. Trends Cogn Sci. 2009 Jan;13(1):36-43 [PMID: 19058992]
  7. Interface Focus. 2012 Dec 6;2(6):764-73 [PMID: 23173077]
  8. Science. 2010 May 21;328(5981):1021-5 [PMID: 20413456]
  9. Nat Commun. 2019 Nov 15;10(1):5174 [PMID: 31729384]
  10. Sci Adv. 2019 Jul 10;5(7):eaaw9305 [PMID: 31501772]
  11. Science. 1999 Apr 2;284(5411):99-101 [PMID: 10102827]
  12. Nature. 2011 Jun 22;474(7352):494-7 [PMID: 21697946]
  13. Phys Rev Lett. 2015 Sep 11;115(11):118104 [PMID: 26406859]
  14. Sci Robot. 2018 Jul 18;3(20): [PMID: 33141727]
  15. Proc Natl Acad Sci U S A. 2010 Jul 13;107(28):12576-80 [PMID: 20616032]
  16. Science. 2013 Feb 1;339(6119):574-6 [PMID: 23372013]
  17. Phys Rev Lett. 2014 Jul 11;113(2):028103 [PMID: 25062240]
  18. Science. 2019 Jan 4;363(6422):46-49 [PMID: 30606837]
  19. J R Soc Interface. 2019 Jan 31;16(150):20180739 [PMID: 30958145]
  20. Trends Ecol Evol. 2018 May;33(5):347-357 [PMID: 29627203]
  21. Science. 2014 Aug 15;345(6198):795-9 [PMID: 25124435]
  22. PLoS Biol. 2014 Mar 11;12(3):e1001805 [PMID: 24618695]
  23. Sci Rep. 2013;3:1073 [PMID: 23323215]
  24. J Theor Biol. 1971 May;31(2):295-311 [PMID: 5104951]
  25. Philos Trans R Soc Lond B Biol Sci. 2006 Jan 29;361(1465):5-22 [PMID: 16553306]
  26. Nat Ecol Evol. 2019 Jun;3(6):943-948 [PMID: 31061474]
  27. Phys Rev Lett. 2017 Oct 27;119(17):178003 [PMID: 29219441]

Grants

  1. BBS/OS/CP/000001/Biotechnology and Biological Sciences Research Council

MeSH Term

Adaptation, Physiological
Animals
Behavior, Animal
Biological Evolution
Chironomidae
Group Processes
Insecta
Mass Gatherings
Models, Biological
Models, Theoretical
Thermodynamics

Word Cloud

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