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Rational design of stealthy hyperuniform two-phase media with tunable order

Author(s): Distasio, Robert A.; Zhang, Ge; Stillinger, Frank H.; Torquato, Salvatore

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Abstract: © 2018 American Physical Society. Disordered stealthy hyperuniform materials are exotic amorphous states of matter that have attracted recent attention because of their novel structural characteristics (hidden order at large length scales) and physical properties, including desirable photonic and transport properties. It is therefore useful to devise algorithms that enable one to design a wide class of such amorphous configurations at will. In this paper, we present several algorithms enabling the systematic identification and generation of discrete (digitized) stealthy hyperuniform patterns with a tunable degree of order, paving the way towards the rational design of disordered materials endowed with novel thermodynamic and physical properties. To quantify the degree of order or disorder of the stealthy systems, we utilize the discrete version of the τ order metric, which accounts for the underlying spatial correlations that exist across all relevant length scales in a given digitized two-phase (or, equivalently, a two-spin state) system of interest. Our results impinge on a myriad of fields, ranging from physics, materials science and engineering, visual perception, and information theory to modern data science.
Publication Date: 27-Feb-2018
Citation: Distasio, R.A., Zhang, G., Stillinger, F.H., Torquato, S. (2018). Rational design of stealthy hyperuniform two-phase media with tunable order. Physical Review E, 97 (2), 10.1103/PhysRevE.97.023311
DOI: doi:10.1103/PhysRevE.97.023311
ISSN: 2470-0045
EISSN: 2470-0053
Pages: 97, 023311-1 - 023311-11
Type of Material: Journal Article
Journal/Proceeding Title: Physical Review E
Version: Final published version. This is an open access article.
Notes: Volume 97, Issue 2, 27 February 2018, Article number 023311

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