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Disordered multihyperuniform many-particle systems are exotic amorphous states that allow exquisite color sensing capabilities due to their anomalous suppression of density fluctuations for distinct subsets of particles, as recently…

Soft Condensed Matter · Physics 2018-01-17 Enrique Lomba , Jean-Jacques Weis , Salvatore Torquato

Optimal spatial sampling of light rigorously requires that identical photoreceptors be arranged in perfectly regular arrays in two dimensions. Examples of such perfect arrays in nature include the compound eyes of insects and the nearly…

A variety of performance demands are being placed on material systems, including desirable mechanical, thermal, electrical, optical, acoustic and flow properties. The purpose of the present article is to review the emerging field of…

Materials Science · Physics 2022-04-26 Salvatore Torquato

Disordered many-particle hyperuniform systems are exotic amorphous states characterized by anomalous suppression of large-scale density fluctuations. Here we substantially broaden the hyperuniformity concept along four different directions.…

Disordered Systems and Neural Networks · Physics 2016-08-24 Salvatore Torquato

Hyperuniform materials, characterized by their suppressed density fluctuations and vanishing structure factors as the wave number approaches zero, represent a unique state of matter that straddles the boundary between order and randomness.…

Disordered Systems and Neural Networks · Physics 2024-08-20 Yiwen Tang , Xinzhi Li , Dapeng Bi

Hyperuniform states of matter exhibit unusual suppression of density fluctuations at large scales, contrasting sharply with typical disordered configurations. Various types of hyperuniformity emerge in multicomponent disordered systems,…

Statistical Mechanics · Physics 2025-01-14 Hiroshi Frusawa

Birds are known for their extremely acute sense of vision. The very peculiar structural distribution of five different types of cones in the retina underlies this exquisite ability to sample light. It was recently found that each cone…

Biological Physics · Physics 2020-07-22 Enrique Lomba , Jean-Jacques Weis , Leandro Guisández , Salvatore Torquato

Hyperuniform states of matter are correlated systems that are characterized by an anomalous suppression of long-wavelength (i.e., large-length-scale) density fluctuations compared to those found in garden-variety disordered systems, such as…

Statistical Mechanics · Physics 2018-08-01 Salvatore Torquato

We show that a thin superconductor slab illuminated by a desired pattern of light behaves as a completely controllable two-dimensional photonic media that could be applied in a wide range of optical devices. In this case, the permittivity…

Superconductivity · Physics 2012-05-15 Hamed Kamrani , Mohammad Saeed Sharif Azadeh , Alireza Kokabi , Mehdi Fardmanesh

The creation of disordered hyperuniform materials with potentially extraordinary optical properties requires a capacity to synthesize large samples that are effectively hyperuniform down to the nanoscale. Motivated by this challenge, we…

Soft Condensed Matter · Physics 2020-08-24 Zheng Ma , Enrique Lomba , Salvatore Torquato

Hyperuniform structures possess the ability to confine and drive light, although their fabrication is extremely challenging. Here we demonstrate that speckle patters obtained by a superposition of randomly arranged sources of Bessel beams…

Hyperuniform particle arrangements are characterized by a local number variance that grows more slowly than the volume of the observation window. We generalize this concept to describe particle systems in which particles carry weights:…

Statistical Mechanics · Physics 2026-03-04 Salvatore Torquato , Jaeuk Kim , Michael A. Klatt , Roberto Car , Paul J. Steinhardt

Disordered hyperuniform materials with vanishing long-wavelength density fluctuations are attracting attention due to their unique physical properties. In these systems, the large-scale density fluctuations are strongly suppressed as in a…

Composites are ideally suited to achieve desirable multifunctional effective properties since the best properties of different materials can be judiciously combined with designed microstructures. Here we establish cross-property relations…

Soft Condensed Matter · Physics 2020-05-13 Jaeuk Kim , Salvatore Torquato

We show that materials made of scatterers distributed on a stealth hyperuniform point pattern can be transparent at densities for which an uncorrelated disordered material would be opaque due to multiple scattering. The conditions for…

Optics · Physics 2016-05-16 Olivier Leseur , Romain Pierrat , Rémi Carminati

Disordered hyperuniform heterogeneous materials are new, exotic amorphous states of matter that behave like crystals in the manner in which they suppress volume-fraction fluctuations at large length scales, and yet are statistically…

Soft Condensed Matter · Physics 2018-08-09 Salvatore Torquato , Duyu Chen

Hyperuniform disordered photonic materials have recently been shown to display large, complete photonic band gaps and isotropic optical properties, and are emerging as strong candidates for a plethora of optoelectronic applications, making…

Arrays of nanoparticles exploited in light scattering applications commonly only feature either a periodic or a rather random arrangement of its constituents. For the periodic case, light scattering is mostly governed by the strong spatial…

Studies of random organization models of monodisperse spherical particles have shown that a hyperuniform state is achievable when the system goes through an absorbing phase transition to a critical state. Here we investigate to what extent…

Soft Condensed Matter · Physics 2019-02-20 Zheng Ma , Salvatore Torquato

Disordered hyperuniform many-body systems are distinguishable states of matter that lie between a crystal and liquid: they are like perfect crystals in the way they suppress large-scale density fluctuations and yet are like liquids or…

Soft Condensed Matter · Physics 2016-09-21 Salvatore Torquato
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