Phyllotactic description of hard sphere packing in cylindrical channels

Adil Mughal, H. K. Chan, D. Weaire

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

98 Wedi eu Llwytho i Lawr (Pure)


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(pi/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.

Iaith wreiddiolSaesneg
Rhif yr erthygl115704
Nifer y tudalennau4
CyfnodolynPhysical Review Letters
Rhif cyhoeddi11
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 16 Maw 2011

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