Dense packings of spheres in cylinders: Simulations

A. Mughal; H. K. Chan; D. Weaire; S. Hutzler

doi:10.1103/PhysRevE.85.051305

Dense packings of spheres in cylinders: Simulations

A. Mughal^*, H. K. Chan, D. Weaire, S. Hutzler

^*Corresponding author for this work

Department of Physics

Trinity College Dublin

Research output: Contribution to journal › Article › peer-review

92 Citations (Scopus)

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Abstract

We study the optimal packing of hard spheres in an infinitely long cylinder, using simulated annealing, and compare our results with the analogous problem of packing disks on the unrolled surface of a cylinder. The densest structures are described and tabulated in detail up to D/d = 2.873 (ratio of cylinder and sphere diameters). This extends previous computations into the range of structures which include internal spheres that are not in contact with the cylinder.

Original language	English
Article number	ARTN 051305
Number of pages	17
Journal	Physical Review E
Volume	85
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.85.051305
Publication status	Published - 11 May 2012

Keywords

FABRICATION
BUBBLES
FOAMS

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title = "Dense packings of spheres in cylinders: Simulations",

abstract = "We study the optimal packing of hard spheres in an infinitely long cylinder, using simulated annealing, and compare our results with the analogous problem of packing disks on the unrolled surface of a cylinder. The densest structures are described and tabulated in detail up to D/d = 2.873 (ratio of cylinder and sphere diameters). This extends previous computations into the range of structures which include internal spheres that are not in contact with the cylinder.",

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author = "A. Mughal and Chan, {H. K.} and D. Weaire and S. Hutzler",

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N2 - We study the optimal packing of hard spheres in an infinitely long cylinder, using simulated annealing, and compare our results with the analogous problem of packing disks on the unrolled surface of a cylinder. The densest structures are described and tabulated in detail up to D/d = 2.873 (ratio of cylinder and sphere diameters). This extends previous computations into the range of structures which include internal spheres that are not in contact with the cylinder.

AB - We study the optimal packing of hard spheres in an infinitely long cylinder, using simulated annealing, and compare our results with the analogous problem of packing disks on the unrolled surface of a cylinder. The densest structures are described and tabulated in detail up to D/d = 2.873 (ratio of cylinder and sphere diameters). This extends previous computations into the range of structures which include internal spheres that are not in contact with the cylinder.

KW - FABRICATION

KW - BUBBLES

KW - FOAMS

UR - http://hdl.handle.net/2160/9408

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DO - 10.1103/PhysRevE.85.051305

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VL - 85

JO - Physical Review E

JF - Physical Review E

IS - 5

M1 - ARTN 051305

ER -

Dense packings of spheres in cylinders: Simulations

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