Journal article
Universal hidden order in amorphous cellular geometries
Nature Communications, Vol.10(1), art. no. 811
2019
Abstract
Partitioning space into cells with certain extreme geometrical properties is a central problem in many fields of science and technology. Here we investigate the Quantizer problem, defined as the optimisation of the moment of inertia of Voronoi cells, i.e., similarly-sized ‘sphere-like’ polyhedra that tile space are preferred. We employ Lloyd’s centroidal Voronoi diagram algorithm to solve this problem and find that it converges to disordered states associated with deep local minima. These states are universal in the sense that their structure factors are characterised by a complete independence of a wide class of initial conditions they evolved from. They moreover exhibit an anomalous suppression of long-wavelength density fluctuations and quickly become effectively hyperuniform. Our findings warrant the search for novel amorphous hyperuniform phases and cellular materials with unique physical properties.
Details
- Title
- Universal hidden order in amorphous cellular geometries
- Authors/Creators
- M.A. Klatt (Author/Creator) - Karlsruhe Institute of TechnologyJ. Lovrić (Author/Creator) - Murdoch UniversityD. Chen (Author/Creator) - Princeton UniversityS.C. Kapfer (Author/Creator) - Friedrich-Alexander-Universität Erlangen-NürnbergF.M. Schaller (Author/Creator) - Friedrich-Alexander-Universität Erlangen-NürnbergP.W.A. Schönhöfer (Author/Creator) - Friedrich-Alexander-Universität Erlangen-NürnbergB.S. Gardiner (Author/Creator) - The University of Western AustraliaA-S Smith (Author/Creator) - PULS Group, Department of Physics and Interdisciplinary Center for Nanostructured Films, Friedrich-Alexander-Universität Erlangen-Nürnberg, Cauerstraße 3, 91058 Erlangen, GermanyG.E. Schröder-Turk (Author/Creator) - Australian National UniversityS. Torquato (Author/Creator) - Princeton University
- Publication Details
- Nature Communications, Vol.10(1), art. no. 811
- Publisher
- Springer Nature
- Identifiers
- 991005541027107891
- Copyright
- © 2019 Springer Nature Publishing AG
- Murdoch Affiliation
- School of Engineering and Information Technology
- Language
- English
- Resource Type
- Journal article
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InCites Highlights
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- Collaboration types
- Domestic collaboration
- International collaboration
- Citation topics
- 7 Engineering & Materials Science
- 7.139 Energy & Fuels
- 7.139.524 Fluidization
- Web Of Science research areas
- Physics, Multidisciplinary
- ESI research areas
- Physics