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Hard sphere packings within cylinders.

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Date
2016-03-07
Authors
Fu, Lin
Steinhardt, William
Zhao, Hao
Socolar, Joshua ES
Charbonneau, Patrick
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Abstract
Arrangements of identical hard spheres confined to a cylinder with hard walls have been used to model experimental systems, such as fullerenes in nanotubes and colloidal wire assembly. Finding the densest configurations, called close packings, of hard spheres of diameter σ in a cylinder of diameter D is a purely geometric problem that grows increasingly complex as D/σ increases, and little is thus known about the regime for D > 2.873σ. In this work, we extend the identification of close packings up to D = 4.00σ by adapting Torquato-Jiao's adaptive-shrinking-cell formulation and sequential-linear-programming (SLP) technique. We identify 17 new structures, almost all of them chiral. Beyond D ≈ 2.85σ, most of the structures consist of an outer shell and an inner core that compete for being close packed. In some cases, the shell adopts its own maximum density configuration, and the stacking of core spheres within it is quasiperiodic. In other cases, an interplay between the two components is observed, which may result in simple periodic structures. In yet other cases, the very distinction between the core and shell vanishes, resulting in more exotic packing geometries, including some that are three-dimensional extensions of structures obtained from packing hard disks in a circle.
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Journal article
Permalink
https://hdl.handle.net/10161/15345
Published Version (Please cite this version)
10.1039/c5sm02875b
Publication Info
Fu, Lin; Steinhardt, William; Zhao, Hao; Socolar, Joshua ES; & Charbonneau, Patrick (2016). Hard sphere packings within cylinders. Soft Matter, 12(9). pp. 2505-2514. 10.1039/c5sm02875b. Retrieved from https://hdl.handle.net/10161/15345.
This is constructed from limited available data and may be imprecise. To cite this article, please review & use the official citation provided by the journal.
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Scholars@Duke

Charbonneau

Patrick Charbonneau

Professor of Chemistry
Professor Charbonneau studies soft matter. His work combines theory and simulation to understand the glass problem, protein crystallization, microphase formation, and colloidal assembly in external fields.
Socolar

Joshua Socolar

Professor of Physics
Prof. Socolar is interested in collective behavior in condensed matter and dynamical systems. His current research interests include: Limit-periodic structures, quasicrystals, packing problems, and tiling theory; Self-assembly and phases of designed colloidal particles; Shear jamming and stick-slip behavior in dry granular materials; Organization and dynamics of complex networks; Topological elasticity of mechanical lattices.
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