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dc.contributor.authorHamilton, E
dc.contributor.authorCicuta, P
dc.date.accessioned2018-11-20T00:31:08Z
dc.date.available2018-11-20T00:31:08Z
dc.date.issued2018
dc.identifier.issn1367-2630
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/285463
dc.description.abstractTo explore the generic features of synchronisation facilitated by hydrodynamic interactions dominated by viscous forces, we investigate small systems of rowers; rowers are a highly simplified model for motile cilia, with each cilium approximated by a rigid sphere driven through a geometrically updated force. We introduce a new framework to analyse rowers, in which we average the pair-wise interaction of rowers by converting to the natural phase. In doing so the function describing the interaction becomes continuous, dramatically simplifying the system and allowing standard dynamical system techniques to be applied. Through inspection of phase portraits, we capture the broad features of rowers driven by power law forces and quantify their coupling strength. This approach is not limited to power law potentials, and can be applied to any monotonically increasing function. When implemented in systems with more rowers, the phase portraits show more diverse behaviour. By exploring the phase space, small systems of rowers can be designed to demonstrate specific features.
dc.description.sponsorshipERC
dc.publisherIOP Publishing
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.titleInterpreting the synchronisation of driven colloidal oscillators via the mean pair interaction
dc.typeArticle
prism.issueIdentifier9
prism.publicationDate2018
prism.publicationNameNew Journal of Physics
prism.volume20
dc.identifier.doi10.17863/CAM.32821
dcterms.dateAccepted2018-09-18
rioxxterms.versionofrecord10.1088/1367-2630/aae103
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2018-09-01
dc.contributor.orcidHamilton, E [0000-0002-8341-0894]
dc.contributor.orcidCicuta, P [0000-0002-9193-8496]
dc.identifier.eissn1367-2630
rioxxterms.typeJournal Article/Review
pubs.funder-project-idEuropean Research Council (614966)
cam.issuedOnline2018-09-24


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Attribution 4.0 International
Except where otherwise noted, this item's licence is described as Attribution 4.0 International