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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

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 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

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 point patterns are characterized by vanishing infinite wavelength density fluctuations and encompass all crystal structures, certain quasi-periodic systems, and special disordered point patterns. This article generalizes the…

统计力学 · 物理学 2015-05-14 Chase E. Zachary , Salvatore Torquato

Geometrical properties of two-dimensional mixtures near the jamming transition point are numerically investigated using harmonic particles under mechanical training. The configurations generated by the quasi-static compression and…

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

Hyperuniform point patterns can be classified by the hyperuniformity scaling exponent $\alpha > 0$, that characterizes the power-law scaling behavior of the structure factor $S(\mathbf{k})$ as a function of wavenumber $k\equiv|\mathbf{k}|$…

We study long range density fluctuations (hyperuniformity) in two-dimensional jammed packings of bidisperse droplets. Taking advantage of microfluidics, we systematically span a large range of size and concentration ratios of the two…

软凝聚态物质 · 物理学 2017-11-21 Joshua Ricouvier , Romain Pierrat , Rémi Carminati , Patrick Tabeling , Pavel Yazhgur

Jammed (mechanically rigid) polydisperse circular-disk packings in two dimensions (2D) are popular models for structural glass formers. Maximally random jammed (MRJ) states, which are the most disordered packings subject to strict jamming,…

软凝聚态物质 · 物理学 2024-12-17 Charles Emmett Maher , Salvatore Torquato

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 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

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

Hyperuniform systems are distinguished by an unusually strong suppression of large-scale density fluctuations and, consequently, display a high degree of uniformity at the largest length scales. In some cases, however, enhanced uniformity…

统计力学 · 物理学 2025-10-24 Carlo Vanoni , Paul J. Steinhardt , Salvatore Torquato

We introduce a model for particles that are extremely polydisperse in size compared to monodisperse and bidisperse systems. In two dimensions (2D), size polydispersity inhibits crystallization and increases packing fraction at jamming…

软凝聚态物质 · 物理学 2025-12-10 Daisuke Shimamoto , Miho Yanagisawa

We relate the structure factor $S(\mathbf{k} \to \mathbf{0})$ in a system of jammed hard spheres of number density $\rho$ to its complexity per particle $\Sigma(\rho)$ by the formula $S(\mathbf{k} \to \mathbf{0})=-1/…

无序系统与神经网络 · 物理学 2018-08-21 M. J. Godfrey , M. A. Moore

Extensive numerical simulations in the past decades proved that the critical exponents of the jamming of frictionless spherical particles remain unchanged in two and three dimensions. This implies that the upper critical dimension is…

软凝聚态物质 · 物理学 2020-07-22 Harukuni Ikeda

We numerically analyse the density field of three-dimensional randomly jammed packings of monodisperse soft frictionles spherical particles, paying special attention to fluctuations occurring at large lengthscales. We study in detail the…

统计力学 · 物理学 2017-05-18 Atsushi Ikeda , Ludovic Berthier , Giorgio Parisi

We address the challenge of estimating the hyperuniformity exponent $\alpha$ of a spatial point process, given only one realization of it. Assuming that the structure factor $S$ of the point process follows a vanishing power law at the…

统计理论 · 数学 2024-07-25 Gabriel Mastrilli , Bartłomiej Błaszczyszyn , Frédéric Lavancier

The jamming transition of soft particles characterized by narrow size distributions has been well studied by physicists. However, polydispersed systems are more relevant to engineering, and the influence of polydispersity on jamming…

软凝聚态物质 · 物理学 2026-03-26 Kuniyasu Saitoh , Brian P. Tighe
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