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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

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

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

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

Heterogeneous materials consisting of different phases are ideally suited to achieve a broad spectrum of desirable bulk physical properties by combining the best features of the constituents through the strategic spatial arrangement of the…

Materials Science · Physics 2017-10-10 Duyu Chen , Salvatore Torquato

Disordered hyperuniform (DHU) states are recently discovered exotic states of condensed matter. DHU systems are similar to liquids or glasses in that they are statistically isotropic and lack conventional long-range translational and…

Materials Science · Physics 2022-12-06 Duyu Chen , Houlong Zhuang , Mohan Chen , Pinshane Huang , Vojtech Vlcek , Yang Jiao

Disordered hyperuniform structures are an exotic state of matter having suppressed density fluctuations at large length-scale similar to perfect crystals and quasicrystals but without any long range orientational order. In the past decade,…

Soft Condensed Matter · Physics 2024-11-18 Yusheng Lei , Ran Ni

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

Hyperuniform materials, characterized by anomalously suppressed long-wavelength density fluctuations, exhibit unique optical and photonic properties distinct from both crystalline and random media. While most prior studies have focused on…

Materials Science · Physics 2025-10-09 David Keeney , Wenlong Shi , Rohit Thomas , Yang Jiao

Disordered hyperuniform systems are exotic states of matter that completely suppress large-scale density fluctuations like crystals, and yet possess no Bragg peaks similar to liquids or glasses. Such systems have been discovered in a…

Soft Condensed Matter · Physics 2021-11-10 Duyu Chen , Yu Zheng , Yang Jiao

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

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

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

Disordered hyperuniform (DHU) materials are an emerging class of exotic heterogeneous material systems characterized by a unique combination of disordered local structures and a hidden long-range order, which endow them with unusual…

Materials Science · Physics 2025-04-11 Liyu Zhong , Sheng Mao , Yang Jiao

Disordered hyperuniform structures are an exotic state of matter having vanishing long-wavelength density fluctuations similar to perfect crystals but without long-range order. Although its importance in materials science has been brought…

Soft Condensed Matter · Physics 2019-01-29 Qun-li Lei , Massimo Pica Ciamarra , Ran Ni

Disordered hyperuniformity (DHU) is a recently proposed new state of matter, which has been observed in a variety of classical and quantum many-body systems. DHU systems are characterized by vanishing infinite-wavelength density…

Disordered Systems and Neural Networks · Physics 2019-11-11 Yu Zheng , Lei Liu , Hanqing Nan , Zhen-Xiong Shen , Ge Zhang , Duyu Chen , Lixin He , Wenxiang Xu , Mohan Chen , Yang Jiao , Houlong Zhuang

A spatial distribution is hyperuniform if it has local density fluctuations that vanish in the limit of long length scales. Hyperuniformity is a well known property of both crystals and quasicrystals. Of recent interest, however, is…

Soft Condensed Matter · Physics 2022-08-31 Jack R. Dale , James D. Sartor , R. Cameron Dennis , Eric I. Corwin

Disorder hyperuniformity (DHU) is a recently discovered exotic state of many-body systems that possess a hidden order in between that of a perfect crystal and a completely disordered system. Recently, this novel DHU state has been observed…

Materials Science · Physics 2023-11-14 Houlong Zhuang , Duyu Chen , Lei Liu , Ge Zhang , Yang Jiao

We report the emergence of large-scale hyperuniformity in microfluidic emulsions. Upon periodic driving confined emulsions undergo a first-order transition from a reversible to an irreversible dynamics. We evidence that this dynamical…

Soft Condensed Matter · Physics 2015-09-09 Joost H. Weijs , Raphaël Jeanneret , Rémi Dreyfus , Denis Bartolo

Disordered hyperuniform many-particle systems have attracted considerable recent attention. One important class of such systems is the classical ground states of "stealthy potentials." The degree of order of such ground states depends on a…

Statistical Mechanics · Physics 2017-01-02 G. Zhang , F. H. Stillinger , S. Torquato
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