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Elongation and percolation of defect motifs in anisotropic packing problems

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Abstract

We examine the regime between crystalline and amorphous packings of anisotropic objects on surfaces of different genus by continuously varying their size distribution or shape from monodispersed spheres to bidispersed mixtures or monodispersed ellipsoidal particles; we also consider an anisotropic variant of the Thomson problem with a mixture of charges. With increasing anisotropy, we first observe the disruption of translational order with an intermediate orientationally ordered hexatic phase as proposed by Nelson, Rubinstein and Spaepen, and then a transition to amorphous state. By analyzing the structure of the disclination motifs induced, we show that the hexatic-amorphous transition is caused by the growth and connection of disclination grain boundaries, suggesting this transition lies in the percolation universality class in the scenarios considered.

Graphical abstract: Elongation and percolation of defect motifs in anisotropic packing problems

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Article information


Submitted
09 Dec 2020
Accepted
06 Apr 2021
First published
07 Apr 2021

Soft Matter, 2021, Advance Article
Article type
Paper

Elongation and percolation of defect motifs in anisotropic packing problems

Z. Xie and T. J. Atherton, Soft Matter, 2021, Advance Article , DOI: 10.1039/D0SM02174A

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