Dynamical arrest of topological defects in 2D hyperuniform disk packings

Sungyeon Hong; Michael Klatt; Gerd Schröder-Turk; François Nicolas; Mohammad Saadatfar

doi:10.1051/epjconf/202124915002

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Dynamical arrest of topological defects in 2D hyperuniform disk packings

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Dynamical arrest of topological defects in 2D hyperuniform disk packings

Sungyeon Hong, Michael Klatt, Gerd Schröder-Turk, François Nicolas and Mohammad Saadatfar

EPJ Web of Conferences, Vol.249, 15002

Powders & Grains 2021 – 9th International Conference on Micromechanics on Granular Media (Buenos Aires (Virtual), Argentina, 05/07/2021–06/08/2021)

2021

DOI: https://doi.org/10.1051/epjconf/202124915002

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Abstract

Algorithms

Defects

Dipoles

Disks

Hexatic phases

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.

Details

Title: Dynamical arrest of topological defects in 2D hyperuniform disk packings
Authors/Creators: Sungyeon Hong - Australian National University
Michael Klatt - Princeton University
Gerd Schröder-Turk
François Nicolas - Australian National University
Mohammad Saadatfar - Australian National University
Publication Details: EPJ Web of Conferences, Vol.249, 15002
Conference: Powders & Grains 2021 – 9th International Conference on Micromechanics on Granular Media (Buenos Aires (Virtual), Argentina, 05/07/2021–06/08/2021)
Publisher: EDP Sciences; Buenos Aires, Argentina
Identifiers: 991005623559607891
Murdoch Affiliation: School of Mathematics, Statistics, Chemistry and Physics
Language: English
Resource Type: Conference proceeding

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