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We present a brief survey of fluctuations and large deviations of particle systems with subextensive growth of the variance. These are called hyperuniform (or superhomogeneous) systems. We then discuss the relation between hyperuniformity…

概率论 · 数学 2016-12-07 Subhro Ghosh , Joel L. Lebowitz

We present experimental evidence for the different mechanisms driving the fluctuations of the local density of states (LDOS) in disordered photonic systems. We establish a clear link between the microscopic structure of the material and the…

无序系统与神经网络 · 物理学 2017-08-02 F. Riboli , F. Uccheddu , G. Monaco , N. Caselli , F. Intonti , M. Gurioli , S. E. Skipetrov

Hyperuniformity refers to the suppression of density fluctuations at large scales. Typical for ordered systems, this property also emerges in several disordered physical and biological systems, where it is particularly relevant to…

统计力学 · 物理学 2025-02-24 Abel H. G. Milor , Marco Salvalaglio

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,…

软凝聚态物质 · 物理学 2024-11-18 Yusheng Lei , Ran Ni

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…

软凝聚态物质 · 物理学 2016-09-21 Salvatore Torquato

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:…

统计力学 · 物理学 2026-03-04 Salvatore Torquato , Jaeuk Kim , Michael A. Klatt , Roberto Car , Paul J. Steinhardt

Peridynamics provides a versatile tool for fracture modelling in materials where fracture pathways cannot be predicted beforehand, but must be envisaged as an emergent features of the deformation process. One class of materials where this…

材料科学 · 物理学 2025-12-18 Shucheta Shegufta , Michael Zaiser

Hyperuniform states are an efficient way to fill up space for disordered systems. In these states the particle distribution is disordered at the short scale but becomes increasingly uniform when looked at large scales. Hyperuniformity…

Hyperuniform structures are disordered, correlated systems in which density fluctuations are suppressed at large scales. Such a property generalizes the concept of order in patterns and is relevant across diverse physical systems. We…

软凝聚态物质 · 物理学 2025-09-09 Abel H. G. Milor , Otto Sumray , Heather A. Harrington , Axel Voigt , Marco Salvalaglio

We provide numerical constructions of one-dimensional hyperuniform many-particle distributions that exhibit unusual clustering and asymptotic local number density fluctuations growing more slowly than the volume of an observation window but…

统计力学 · 物理学 2013-05-29 Chase E. Zachary , Salvatore Torquato

Disordered hyperuniformity is a description of hidden correlations in point distributions revealed by an anomalous suppression in fluctuations of local density at various coarse-graining length scales. In the absorbing phase of models…

统计力学 · 物理学 2021-03-24 Yuanjian Zheng , Anshul D. S. Parmar , Massimo Pica Ciamarra

The local density of states of a degenerate semiconductor is investigated at low magnetic fields. In order to realize this experiment, we designed a strongly asymmetric double-barrier heterostructure with heavily doped contacts and study…

凝聚态物理 · 物理学 2009-10-28 T. Schmidt , R. J. Haug , V. I. Fal'ko , K. v. Klitzing , A. Foerster , H. Lueth

We introduce the concept of a hyperuniformity disorder length that controls the variance of volume fraction fluctuations for randomly placed windows of fixed size. In particular, fluctuations are determined by the average number of…

软凝聚态物质 · 物理学 2017-09-18 A. T. Chieco , R. Dreyfus , D. J. Durian

We consider a problem of superconductivity coexistence with the spin-density-wave order in disordered multiband metals. It is assumed that random variations of the disorder potential on short length scales render the interactions between…

超导电性 · 物理学 2021-07-28 Maxim Dzero , Alex Levchenko

Structure-property relationships in ordered materials have long been a core principle in materials design. However, the intentional introduction of disorder into materials provides structural flexibility and thus access to material…

Disordered hyperuniform materials are very promising for applications but the successful route for synthesizing them requires to understand the interactions induced by the host media that can switch off this hidden order. With this aim we…

Fracture processes in heterogeneous materials comprise a large number of disordered spatial degrees of freedom, representing the dynamical state of a sample over the entire domain of interest. This complexity is usually modeled directly,…

统计力学 · 物理学 2014-08-25 Yon Visell , Guillaume Millet

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…

软凝聚态物质 · 物理学 2018-08-09 Salvatore Torquato , Duyu Chen

Hyperuniform many-particle systems, which encompass crystals, quasicrystals and certain exotic disordered systems, exhibit an anomalous suppression of density fluctuations on macroscopic length scales relative to those of conventional…

统计力学 · 物理学 2026-03-18 Yongyi Wang , Jaeuk Kim , Yang Jiao , Izabella Stuhl , Salvatore Torquato , Reka Albert

Confinement can significantly alter fluid properties, offering potential for specific technological applications. However, achieving precise control over the structural complexity of confined fluids and soft matter remains challenging, as…

软凝聚态物质 · 物理学 2024-11-20 Fabio Leoni , Erdal C. Oğuz , Giancarlo Franzese