https://doi.org/10.1051/epjconf/202124915002
Dynamical arrest of topological defects in 2D hyperuniform disk packings
1
Department of Applied Mathematics, Research School of Physics and Engineering, Australian National University, Canberra, ACT 2601, Australia
2
Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
3
Mathematics and Statistics, Murdoch University, Perth, WA 6150, Australia
4
School of Civil Engineering, The University of Sydney, Sydney, NSW 2006, Australia
* e-mail: sungyeon.hong@anu.edu.au
** e-mail: nicolas.francois@anu.edu.au
*** e-mail: mohammad.saadatfar@anu.edu.au
Published online: 7 June 2021
We investigate collective motions of points in 2D systems, orchestrated by Lloyd algorithm. The algorithm iteratively updates a system by minimising the total quantizer energy of the Voronoi landscape of the system. As a result of a tradeoff between energy minimisation and geometric frustration, we find that optimised systems exhibit a defective landscape along the process, where strands of 5- and 7-coordinated dislocations are embedded in the hexatic phase. In particular, dipole defects, each of which is the simplest possible pair of a pentagon and a heptagon, come into the picture of dynamical arrest, as the system freezes down to a disordered hyperuniform state. Moreover, we explore the packing fractions of 2D disk packings associated to the obtained hyperuniform systems by considering the maximum inscribed disks in their Voronoi cells.
A video is available at https://doi.org/10.48448/c5ss-q410
© The Authors, published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
