EPJ Web Conf.
Volume 249, 2021Powders & Grains 2021 – 9th International Conference on Micromechanics on Granular Media
|Number of page(s)||4|
|Published online||07 June 2021|
Dynamical arrest of topological defects in 2D hyperuniform disk packings
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
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
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