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dc.contributor.authorCHAN, HO-KEIen
dc.contributor.authorWEAIRE, DENISen
dc.date.accessioned2011-04-19T16:28:37Z
dc.date.available2011-04-19T16:28:37Z
dc.date.issued2011en
dc.date.submitted2011en
dc.identifier.citationAdil Mughal, Ho-Kei Chan & Denis Weaire, Phyllotactic Description of Hard Sphere Packing in Cylindrical Channels, Physical Review Letters, 106, 11, 2011, 115704-1 - 115704-4en
dc.identifier.otherYen
dc.identifier.urihttp://hdl.handle.net/2262/54962
dc.descriptionPUBLISHEDen
dc.descriptionFor the densest packings of identical hard spheres inside a cylinder, all the spheres will be in contact with the cylindrical surface if the cylinder-to-sphere diameter ratio is below the critical value 2.7013. This paper shows that such structures can be understood in terms of a distorted triangular lattice that describes the spheres' positions on the unrolled cylindrical surface.en
dc.description.abstractWe develop a simple analytical theory that relates dense sphere packings in a cylinder to corresponding disk packings on its surface. It applies for ratios R=D/d (where d and D are the diameters of the hard spheres and the bounding cylinder, respectively) up to R=1+1/sin?(?/5). Within this range the densest packings are such that all spheres are in contact with the cylindrical boundary. The detailed results elucidate extensive numerical simulations by ourselves and others by identifying the nature of various competing phases.en
dc.format.extent115704-1en
dc.format.extent115704-4en
dc.language.isoenen
dc.relation.ispartofseriesPhysical Review Lettersen
dc.relation.ispartofseries106en
dc.relation.ispartofseries11en
dc.rightsYen
dc.subjectFluids and plasma physicsen
dc.subjectsphere packingsen
dc.subjectdisk packingsen
dc.titlePhyllotactic Description of Hard Sphere Packing in Cylindrical Channelsen
dc.typeJournal Articleen
dc.contributor.sponsorScience Foundation Ireland (SFI)en
dc.type.supercollectionscholarly_publicationsen
dc.type.supercollectionrefereed_publicationsen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/hchanen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/dweaireen
dc.identifier.rssinternalid72660en
dc.subject.TCDThemeNanoscience & Materialsen
dc.identifier.rssurihttp://prl.aps.org/abstract/PRL/v106/i11/e115704en


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