The University of Dublin | Trinity College -- Ollscoil Átha Cliath | Coláiste na Tríonóide
Trinity's Access to Research Archive
Home :: Log In :: Submit :: Alerts ::

TARA >
School of Physics >
Physics >
Physics (Scholarly Publications) >

Please use this identifier to cite or link to this item: http://hdl.handle.net/2262/54962

Title: Phyllotactic Description of Hard Sphere Packing in Cylindrical Channels
Author: WEAIRE, DENIS LAWRENCE
CHAN, HO-KEI
Sponsor: Science Foundation Ireland
Author's Homepage: http://people.tcd.ie/hchan
http://people.tcd.ie/dweaire
Keywords: Fluids and plasma physics
sphere packings
disk packings
Issue Date: 2011
Citation: Adil Mughal, Ho-Kei Chan & Denis Weaire, Phyllotactic Description of Hard Sphere Packing in Cylindrical Channels, Physical Review Letters, 106, 11, 2011, 115704-1 - 115704-4
Series/Report no.: Physical Review Letters
106
11
Abstract: We 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⁡(π/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.
Description: PUBLISHED
For 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.
URI: http://hdl.handle.net/2262/54962
Related links: http://prl.aps.org/abstract/PRL/v106/i11/e115704
Appears in Collections:Physics (Scholarly Publications)

Files in This Item:

File Description SizeFormat
Phyllotactic Description of Hard Sphere Packing in Cylindrical Channels.pdfPublished (publisher's copy) - Peer Reviewed2.09 MBAdobe PDFView/Open


This item is protected by original copyright


Please note: There is a known bug in some browsers that causes an error when a user tries to view large pdf file within the browser window. If you receive the message "The file is damaged and could not be repaired", please try one of the solutions linked below based on the browser you are using.

Items in TARA are protected by copyright, with all rights reserved, unless otherwise indicated.

 

Valid XHTML 1.0! DSpace Software Copyright © 2002-2010  Duraspace - Feedback