Theory of rotational columnar structures of soft spheres
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2019Access:
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Winkelmann, J., Mughal, A., Williams, D.B., Weaire, D. & Hutzler, S., Theory of rotational columnar structures of soft spheres, Physical Review E (Rapid Communication), 99, 2019, 020602Download Item:
Abstract:
There is a growing interest in cylindrical structures of hard and soft particles. A promising new
method to assemble such structures has recently been introduced by Lee et al. [T. Lee, K. Gizynski,
and B. Grzybowski, Adv. Mater. 29, 1704274 (2017)]. They used rapid rotation around a central
axis to drive spheres of lower density than the surrounding
uid towards this axis. This resulted
in different structures as the number of spheres is varied. Here we present comprehensive analytic
energy calculations for such self-assembled structures, based on a generic soft sphere model, from
which we obtain a phase diagram. It displays interesting features, including peritectoid points. These
analytic calculations are complemented by preliminary numerical simulations for finite sample sizes
with soft spheres. A similar analytic approach could be used to study packings of spheres inside
cylinders of fixed dimensions, but with a variation in the number of spheres.
Sponsor
Grant Number
Other
TCD Visiting Professorships and Fellowsh
Irish Research Council (IRC)
GOIPG/2015/1998
Other
EuropeanSpaceAgency AO99075+40000115113
Science Foundation Ireland (SFI)
13/IA/1926
Author's Homepage:
http://people.tcd.ie/shutzlerhttp://people.tcd.ie/dweaire
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Physical Review E (Rapid Communication)99
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Full text availableKeywords:
Soft condensed matter, Soft spheres, RotationSubject (TCD):
Nanoscience & Materials , Physics , granular packing of soft spheresDOI:
doi.org/10.1103/PhysRevE.99.020602Metadata
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