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Soft, amorphous solids such as tissues, foams, and emulsions are composed of deformable particles. However, the effect of single-particle deformability on the collective behavior of soft solids is still poorly understood. We perform…

软凝聚态物质 · 物理学 2021-06-02 John D. Treado , Dong Wang , Arman Boromand , Michael P. Murrell , Mark D. Shattuck , Corey S. O'Hern

We explore the use of the nested sampling technique to sample the configuration space of non-spherical hard particles. We employ the technique on the hard dumbbell system consisting of two hard spheres connected by a rigid bond, and…

软凝聚态物质 · 物理学 2025-12-18 Omar-Farouk Adesida , David Quigley , Livia B. Partay

We analyze the general problem of determining optimally dense packings, in a Euclidean or hyperbolic space, of congruent copies of some fixed finite set of bodies. We are strongly guided by examples of aperiodic tilings in Euclidean space…

度量几何 · 数学 2018-07-11 Lewis Bowen , Charles Holton , Charles Radin , Lorenzo Sadun

In this review we provide an organized summary of the theoretical and computational results which are available for polymers subject to spatial or topological constraints. Because of the interdisciplinary character of the topic, we provide…

统计力学 · 物理学 2015-03-19 Cristian Micheletti , Davide Marenduzzo , Enzo Orlandini

The evolution of occupied volume under progressive fragmentation of granular matter is studied using a purely geometric model. Rather than modelling disorder directly, properties are investigated by analysing highly ordered reference…

软凝聚态物质 · 物理学 2026-03-25 Malkhazi A. Meladze

Dense packing of particles has provided important models to study the structure of matter in various systems such as liquid, glassy and crystalline phase, etc. The simplest sphere packing models are able to represent and capture salient…

软凝聚态物质 · 物理学 2023-03-03 Weihao Wang , Zhenghong Chen , Yang Gao , Yang Jiao , Shaodong Zhang

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

Jammed disordered packings of non-spherical particles show significant variation in the packing density as a function of particle shape for a given packing protocol. Rotationally symmetric elongated shapes such as ellipsoids,…

软凝聚态物质 · 物理学 2021-11-08 Esma Kurban , Adrian Baule

We present a scaled particle density functional study of two-dimensional binary mixtures of hard convex particles with one or both species being ellipses. In particular, we divide our study into two parts. The first part is devoted to the…

软凝聚态物质 · 物理学 2022-06-07 Yuri Martinez-Raton

Amorphous materials as diverse as foams, emulsions, colloidal suspensions and granular media can jam into a rigid, disordered state where they withstand finite shear stresses before yielding. Here we review the current understanding of the…

软凝聚态物质 · 物理学 2015-05-14 M van Hecke

The structure and stresses of static granular packs in cylindrical containers are studied using large-scale discrete element molecular dynamics simulations in three dimensions. We generate packings by both pouring and sedimentation and…

软凝聚态物质 · 物理学 2009-11-07 J. W. Landry , G. S. Grest , L. E. Silbert , S. J. Plimpton

Particle size polydispersity can help to inhibit crystallization of the hard-sphere fluid into close-packed structures at high packing fractions and thus is often employed to create model glass-forming systems. Nonetheless, it is known that…

软凝聚态物质 · 物理学 2018-06-13 Beth A. Lindquist , Ryan B. Jadrich , Thomas M. Truskett

Unraveling the complexities of random packing in three dimensions has long puzzled physicists. While both experiments and simulations consistently show a maximum density of 64 percent for tightly packed random spheres, we still lack an…

软凝聚态物质 · 物理学 2023-05-12 Chaoming Song

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

All hard, convex shapes are conjectured by Ulam to pack more densely than spheres, which have a maximum packing fraction of {\phi} = {\pi}/\sqrt18 ~ 0.7405. For many shapes, simple lattice packings easily surpass this packing fraction. For…

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

Jamming is a common feature of out of equilibrium systems showing slow relaxation dynamics. Here we review our efforts in understanding jamming in granular materials using experiments and computer simulations. We first obtain an estimation…

软凝聚态物质 · 物理学 2009-11-11 Chaoming Song , Ping Wang , Fabricio Potiguar , Hernan A. Makse

The aim of this paper is to review and discuss qualitatively some results on the properties of amorphous packings of hard spheres that were recently obtained by means of the replica method. The theory gives predictions for the equation of…

无序系统与神经网络 · 物理学 2009-11-11 F. Zamponi

Dense particle packings acquire rigidity through a nonequilibrium jamming transition commonly observed in materials from emulsions to sandpiles. We describe athermal packings and their observed geometric phase transitions using fully…

统计力学 · 物理学 2011-04-05 Hugo Jacquin , Ludovic Berthier , Francesco Zamponi

Dense packings of hard particles have important applications in many fields, including condensed matter physics, discrete geometry and cell biology. In this paper, we employ a stochastic search implementation of the Torquato-Jiao…

统计力学 · 物理学 2014-05-02 Steven Atkinson , Yang Jiao , Salvatore Torquato