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We calculate the free volume distributions of nearly jammed packings of monodisperse and bidisperse hard sphere configurations. These distributions differ qualitatively from those of the fluid, displaying a power law tail at large free…

软凝聚态物质 · 物理学 2015-06-17 Moumita Maiti , Srikanth Sastry

The binary Voronoi mixture is a fluid model whose interactions are local and many-body. Here we perform molecular-dynamics (MD) simulations of an equimolar mixture that is weakly polydisperse and additive. For the first time we study the…

无序系统与神经网络 · 物理学 2020-12-30 Céline Ruscher , Simone Ciarella , Chengjie Luo , Liesbeth M. C. Janssen , Jean Farago , Jörg Baschnagel

We numerically study the structure of the interactions occurring in three-dimensional systems of hard spheres at jamming, focusing on the large-scale behavior. Given the fundamental role they play in the configuration of jammed packings, we…

软凝聚态物质 · 物理学 2021-07-15 Paolo Rissone , Eric I. Corwin , Giorgio Parisi

We study the problem of decomposing a volume bounded by a smooth surface into a collection of Voronoi cells. Unlike the dual problem of conforming Delaunay meshing, a principled solution to this problem for generic smooth surfaces remained…

A complete family of statistical descriptors for the morphology of large--scale structure based on Minkowski--Functionals is presented. These robust and significant measures can be used to characterize the local and global morphology of…

天体物理学 · 物理学 2007-05-23 T. Buchert

Connecting the collective behavior of disordered systems with local structure on the particle scale is an important challenge, for example in granular and glassy systems. Compounding complexity, in many scientific and industrial…

软凝聚态物质 · 物理学 2016-11-21 Fabian M. Schaller , Robert F. B. Weigel , Sebastian C. Kapfer

We investigate the local- and long-range structure of four different space-filling cellular patterns: bubbles in a quasi-2d foam plus Voronoi constructions made around points that are uncorrelated (Poisson patterns), low discrepancy (Halton…

软凝聚态物质 · 物理学 2021-06-16 Anthony T. Chieco , Douglas J. Durian

Disordered hyperuniform many-particle systems are recently discovered exotic states of matter, characterized by a complete suppression of normalized infinite-wavelength density fluctuations and lack of conventional long-range order. Here,…

统计力学 · 物理学 2024-11-12 Eli Newby , Wenlong Shi , Yang Jiao , Reka Albert , 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

We have performed a novel experiment on granular packs composed of automatically swelling particles. By analyzing the Voronoi structure of packs going through the jamming transition, we show that the local configuration of a jamming pack is…

软凝聚态物质 · 物理学 2010-06-24 Xiang Cheng

We report calculations of the density of maximally random jamming (aka random close packing) of one-component and binary hard disc fluids. The theoretical structure used provides a common framework for description of the hard disc liquid to…

软凝聚态物质 · 物理学 2010-10-06 Xinliang Xu , Stuart A. Rice

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

Due to significant computational expense, discrete element method simulations of jammed packings of size-dispersed spheres with size ratios greater than 1:10 have remained elusive, limiting the correspondence between simulations and…

Given a network, the statistical ensemble of its graph-Voronoi diagrams with randomly chosen cell centers exhibits properties convertible into information on the network's large scale structures. We define a node-pair level measure called…

A stationary Boolean model is the union set of random compact particles which are attached to the points of a stationary Poisson point process. For a stationary Boolean model with convex grains we consider a recently developed collection of…

概率论 · 数学 2013-08-14 Julia Hörrmann , Daniel Hug , Michael Klatt , Klaus Mecke

We study the Voronoi and void statistics of super-homogeneous (or hyperuniform) point patterns in which the infinite-wavelength density fluctuations vanish. Super-homogeneous or hyperuniform point patterns arise in one-component plasmas,…

统计力学 · 物理学 2016-08-31 Andrea Gabrielli , Salvatore Torquato

We study the approach to jamming in hard-sphere packings, and, in particular, the pair correlation function $g_{2}(r)$ around contact, both theoretically and computationally. Our computational data unambiguously separates the narrowing…

统计力学 · 物理学 2009-11-10 A. Donev , S. Torquato , F. H. Stillinger

We study properties of jammed packings of frictionless spheres over a wide range of volume fractions. There exists a crossover volume fraction which separates deeply jammed solids from marginally jammed solids. In deeply jammed solids, all…

软凝聚态物质 · 物理学 2011-03-25 Cang Zhao , Kaiwen Tian , Ning Xu

The densest local packings of N three-dimensional identical nonoverlapping spheres within a radius Rmin(N) of a fixed central sphere of the same size are obtained for selected values of N up to N = 1054. In the predecessor to this paper…

统计力学 · 物理学 2013-05-29 Adam B. Hopkins , Frank H. Stillinger , Salvatore Torquato

We review a recently proposed theory of random packings. We describe the volume fluctuations in jammed matter through a volume function, amenable to analytical and numerical calculations. We combine an extended statistical mechanics…

软凝聚态物质 · 物理学 2016-03-29 Chaoming Song , Ping Wang , Hernan A. Makse