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In this work we present a study on the characterization of ordered and disordered hyperuniform point distributions on spherical surfaces. In spite of the extensive literature on disordered hyperuniform systems in Euclidean geometries, to…

Disordered Systems and Neural Networks · Physics 2019-08-14 Ariel G. Meyra , Guillermo J. Zarragoicoechea , Alberto. L. Maltz , Enrique Lomba , Salvatore Torquato

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…

Statistical Mechanics · Physics 2025-02-24 Abel H. G. Milor , Marco Salvalaglio

Data uniformity is a concept associated with several semantic data characteristics such as lack of features, correlation and sample bias. This article introduces a novel measure to assess data uniformity and detect uniform pointsets on…

Computational Geometry · Computer Science 2020-04-14 Panagiotis Sidiropoulos

Particle suspensions, present in many natural and industrial settings, typically contain aggregates or other microstructures that can complicate macroscopic flow behaviors and damage processing equipment. Recent work found that applying…

Soft Condensed Matter · Physics 2018-07-31 Jikai Wang , J. M. Schwarz , Joseph D. Paulsen

The most efficient way to pack equally sized spheres isotropically in 3D is known as the random close packed state, which provides a starting point for many approximations in physics and engineering. However, the particle size distribution…

Soft Condensed Matter · Physics 2010-01-05 Robert S. Farr , Robert D. Groot

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

Disordered hyperuniform dispersions are exotic amorphous two-phase materials characterized by an anomalous suppression of long-wavelength volume-fraction fluctuations, endowing them with novel physical properties. While such unusual…

Soft Condensed Matter · Physics 2019-03-12 Jaeuk Kim , Salvatore Torquato

We demonstrate that hyperuniformity, the suppression of density fluctuations at large length scales, emerges generically from the interplay between conservation laws and non-equilibrium driving. The underlying mechanism for this emergence…

Statistical Mechanics · Physics 2025-12-09 Raphaël Maire , Ludivine Chaix

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

Disordered and hyperuniform structures of densely packed spheres near and at jamming are characterized by vanishing of long-wavelength density fluctuations, or equivalently by long-range power-law decay of the direct correlation function…

Statistical Mechanics · Physics 2021-10-04 Hiroshi Frusawa

The suppression of density fluctuations at different length scales is the hallmark of hyperuniformity. However, its existence and significance in jammed solids is still a matter of debate. We explore the presence of this hidden order in a…

Statistical Mechanics · Physics 2018-12-10 Yuanjian Zheng , Yan-Wei Li , Massimo Pica Ciamarra

Topology and geometry of a sphere create constraints for particles that lie on its surface which they otherwise do not experience in Euclidean space. Notably, the number of particles and the size of the system can be varied separately,…

Soft Condensed Matter · Physics 2021-04-22 Anze Bozic , Stefano Franzini , Simon Copar

Packing problems have been a source of fascination for millenia and their study has produced a rich literature that spans numerous disciplines. Investigations of hard-particle packing models have provided basic insights into the structure…

Statistical Mechanics · Physics 2018-08-01 Salvatore Torquato

Mechanical disorder in solids, which is generated by a broad range of physical processes and controls various material properties, appears in a wide variety of forms. Defining unified and measurable dimensionless quantifiers, allowing…

Soft Condensed Matter · Physics 2021-09-08 Geert Kapteijns , Eran Bouchbinder , Edan Lerner

We use particle dynamics simulations to probe the correlations between noise and dynamics in a variety of disordered systems, including superconducting vortices, 2D electron liquid crystals, colloids, domain walls, and granular media. The…

Superconductivity · Physics 2009-11-10 C. J. Olson Reichhardt , C. Reichhardt

We report on an experimental observation of classical diffusion distinguishing between structural universality classes of disordered systems in one dimension. Samples of hyperuniform and short-range disorder were designed, characterized by…

Mesoscale and Nanoscale Physics · Physics 2017-12-05 Antonios Papaioannou , Dmitry S. Novikov , Els Fieremans , Gregory S. Boutis

Three-dimensional discrete numerical simulation is used to investigate the properties of close-packed frictionless granular assemblies as a function of particle polydispersity and shape. Unlike some experimental results, simulations show…

Soft Condensed Matter · Physics 2017-07-20 Jean-François Camenen , Yannick Descantes

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…

Statistical Mechanics · Physics 2013-05-29 Chase E. Zachary , Salvatore Torquato

We investigate the existence of random close and random loose packing limits in two-dimensional packings of monodisperse hard disks. A statistical mechanics approach-- based on several approximations to predict the probability distribution…

Soft Condensed Matter · Physics 2010-11-18 Sam Meyer , Chaoming Song , Yuliang Jin , Kun Wang , Hernán A. Makse

Bead packs of up to 150,000 mono-sized spheres with packing densities ranging from 0.58 to 0.64 have been studied by means of X-ray Computed Tomography. These studies represent the largest and the most accurate description of the structure…

Disordered Systems and Neural Networks · Physics 2007-09-19 T. Aste , M. Saadatfar , A. Sakellariou , T. J. Senden