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We numerically investigate hyperuniformity in two-dimensional frictionless jammed packings of bidisperse systems. Hyperuniformity is characterized by the suppression of density fluctuations at large length scales, and the structure factor…

软凝聚态物质 · 物理学 2025-07-18 Duc T. Dam , Takeshi Kawasaki , Atsushi Ikeda , Kunimasa Miyazaki

The structural properties of static, jammed packings of monodisperse spheres in the vicinity of the jamming transition are investigated using large-scale computer simulations. At small wavenumber $k$, we argue that the anomalous behavior in…

软凝聚态物质 · 物理学 2011-08-02 Leonardo E. Silbert , Moises Silbert

Hyperuniformity characterizes a state of matter for which density fluctuations diminish towards zero at the largest length scales. However, the task of determining whether or not an experimental system is hyperuniform is experimentally…

软凝聚态物质 · 物理学 2015-06-22 Remi Dreyfus , Ye Xu , Tim Still , Lawrence A. Hough , A. G. Yodh , Salvatore Torquato

We computationally study jammed disordered hard-sphere packings as large as a million particles. We show that the packings are saturated and hyperuniform, i.e., that local density fluctuations grow only as a logarithmically-augmented…

统计力学 · 物理学 2009-11-11 A. Donev , F. H. Stillinger , S. Torquato

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…

软凝聚态物质 · 物理学 2022-08-31 Jack R. Dale , James D. Sartor , R. Cameron Dennis , Eric I. Corwin

Hyperuniformity, whereby the static structure factor (or density correlator) obeys $S(q)\sim q^{\varsigma}$ with $\varsigma> 0$, emerges at criticality in systems having multiple absorbing states, such as periodically sheared suspensions.…

统计力学 · 物理学 2023-10-27 Xiao Ma , Johannes Pausch , Michael E. Cates

Hyperuniformity characterizes a state of matter that is poised at a critical point at which density or volume-fraction fluctuations are anomalously suppressed at infinite wavelengths. Recently, much attention has been given to the link…

统计力学 · 物理学 2016-08-03 Steven Atkinson , Ge Zhang , Adam B. Hopkins , Salvatore Torquato

We analyze the large scale structure and fluctuations of jammed packings of size disperse spheres, produced in a granular experiment as well as numerically. While the structure factor of the packings reveals no unusual behavior for small…

统计力学 · 物理学 2011-06-01 Ludovic Berthier , Pinaki Chaudhuri , Corentin Coulais , Olivier Dauchot , Peter Sollich

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…

统计力学 · 物理学 2018-12-10 Yuanjian Zheng , Yan-Wei Li , Massimo Pica Ciamarra

Hyperuniform many-particle distributions possess a local number variance that grows more slowly than the volume of an observation window, implying that the local density is effectively homogeneous beyond a few characteristic length scales.…

统计力学 · 物理学 2015-05-27 Chase E. Zachary , Yang Jiao , Salvatore Torquato

We extend the results from the first part of this series of two papers by examining hyperuniformity in heterogeneous media composed of impenetrable anisotropic inclusions. Specifically, we consider maximally random jammed packings of hard…

统计力学 · 物理学 2015-05-27 Chase E. Zachary , Yang Jiao , Salvatore Torquato

Stealthy hyperuniform (SHU) many-particle systems are distinguished by a structure factor that vanishes not only at zero wavenumber (as in ``standard'' hyperuniform systems) but also across an extended range of wavenumbers near the origin.…

软凝聚态物质 · 物理学 2025-07-14 Carlo Vanoni , Jaeuk Kim , Paul J. Steinhardt , Salvatore Torquato

We explore quantitative descriptors that herald when a many-particle system in $d$-dimensional Euclidean space $\mathbb{R}^d$ approaches a hyperuniform state as a function of the relevant control parameter. We establish quantitative…

软凝聚态物质 · 物理学 2021-05-26 Salvatore Torquato

Hyperuniform many-particle systems are characterized by a structure factor $S({\mathbf{k}})$ that is precisely zero as $|\mathbf{k}|\rightarrow0$; and stealthy hyperuniform systems have $S({\mathbf{k}})=0$ for the finite range $0 <…

统计力学 · 物理学 2023-11-08 Peter K. Morse , Jaeuk Kim , Paul J. Steinhardt , Salvatore Torquato

We investigate the short, medium, and long-range structure of soft disk configurations for a wide range of area fractions and simulation protocols by converting the real-space spectrum of volume fraction fluctuations for windows of width…

软凝聚态物质 · 物理学 2018-10-24 A. T. Chieco , M. Zu , A. J. Liu , N. Xu , D. J. Durian

Hyperuniform structures are spatial patterns whose fluctuations disappear on long length scales, making them effectively homogeneous when observed from afar. Mathematically, this means that their spectral density, $\tilde{\rho}({\bf k})$,…

We numerically simulate mechanically stable packings of soft-core, frictionless, bidisperse disks in two dimensions, above the jamming packing fraction phi_J. For configurations with a fixed isotropic global stress tensor, we investigate…

无序系统与神经网络 · 物理学 2015-12-23 Yegang Wu , Peter Olsson , S. Teitel

Maximally random jammed states of hard spheres are prototypical glasses. We study the small wavenumber $k$ behavior of the structure factor $S(k)$ of overcompressed million-sphere packings as a function of density up to the jammed state. We…

统计力学 · 物理学 2013-05-30 Adam B. Hopkins , Frank H. Stillinger , Salvatore Torquato

Dynamical signatures are known to precede jamming in hard-particle systems, but static structural signatures have proven more elusive. The observation that compressing hard-particle packings towards jamming causes growing hyperuniformity…

统计力学 · 物理学 2016-09-21 Steven Atkinson , Frank H. Stillinger , Salvatore Torquato

We study the behavior of a two-component plasma made up of non-additive hard disks with a logarithmic Coulomb interaction. Due to the Coulomb repulsion, long-wavelength total density fluctuations are suppressed and the system is globally…

统计力学 · 物理学 2017-12-27 E. Lomba , J. J. Weis , S. Torquato
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