Naslov
Hyperuniformisation by Lloyd’s algorithm for Centroidal Voronoi diagrams

Autori
Lovrić, Jakov ; Kapfer, Sebastian ; Schaller, Fabian ; Schönhöfer, Philipp ; Klatt, Michael ; Gardiner, Bruce ; Smith, Ana-Sunčana ; Schröder- Turk, Gerd

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
DPG-Frühjahrstagung / - , 2017, 1-1

Skup
DPG-Frühjahrstagung Dresden 2017

Mjesto i datum
Dresden, Njemačka, 19.03.2017. - 24.03.2017

Vrsta sudjelovanja
Poster

Vrsta recenzije
Nije recenziran

Ključne riječi
Lloyds algorithm ; optimization ; hyperuniform

Sažetak
We study an application of centroidal Voronoi diagrams and Lloyds algorithm. The simple idea is that the evolution of points under Lloyd’s algorithm leads to more uniform structures, in a loose sense. We therefore investigated, and found an initial positive result, that Lloyd’s algorithm can be used to achieve hyper-uniform structures when starting from several types of disordered point patterns. We have not found a point pattern where Lloyd’s algorithm does not lead to a hyper-uniform structure. A related, and important, question is whether Lloyd’s algorithm induces crystallisation (i.e. ordering into at least locally crystalline structures) of the point configuration ; one may have thought this possible, given that the body-centered cubic Bravais lattice is considered the configuration with lowest energy w.r.t. the functional used in Lloyd’s algorithm.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Fizika, Interdisciplinarne prirodne znanosti

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