Dense packings of spheres in cylinders I. 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.

18 pages, 14 figures, 1 table, to be submitted to PRE

References in corpus (3)

• Phyllotactic description of hard sphere packing in cylindrical channels
• Helical Packings and Phase Transformations of Soft Spheres in Cylinders
• Densest columnar structures of hard spheres from sequential deposition

Cited by in corpus (27)

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• Assembly of hard spheres in a cylinder: a computational and experimental study
• Theory of cylindrical dense packings of disks
• Correlation lengths in quasi-one-dimensional systems via transfer matrices
• Close packing of rods on spherical surfaces
• Plastic deformation of tubular crystals by dislocation glide
• Screw symmetry in columnar crystals
• Phyllotaxis, disk packing and Fibonacci numbers
• Simulation and observation of line-slip structures in columnar structures of soft spheres
• A hybrid helical structure of hard sphere packing from sequential deposition
• Columnar structures of soft spheres: Metastability and hysteresis
• Theory of rotational columnar structures of soft spheres
• Inherent Structure Landscape of Hard Spheres Confined to Narrow Cylindrical Channels
• Skinny emulsions take on granular matter
• Random sequential adsorption of spheres on a cylinder
• Densest vs. jammed packings of 2D bent-core trimers
• Densest versus jammed packings of bent-core trimers
• Self-assembled clusters of magnetically tilted dipoles
• Transitions between phyllotactic lattice states in curved geometries
• Exact anisotropic properties of hard spheres in narrow cylindrical confinement
• Positional ordering of hard adsorbate particles in tubular nanopores
• Controlled transitions between phyllotactic states of repulsive particles confined on the surface of a cylinder
• Defect-free and defective adaptations of crystalline sheets to stretching deformation
• Chiral Packings in Cylinders are Ultrasensitive to Confinement Deformation
• Emergent dynamic stress regulators via coordinated thermal fluctuations and stress in harmonic crystalline lattices
• Formation of cylindrical shells via sphere packing from fluidized beds