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We investigate the distribution of the volume and coordination number associated to each particle in a jammed packing of monodisperse hard sphere using the mesoscopic ensemble developed in Nature 453, 606 (2008). Theory predicts an…

Soft Condensed Matter · Physics 2015-05-13 Ping Wang , Chaoming Song , Yuliang Jin , Kun Wang , Hernan A. Makse

We study jammed configurations of hard spheres as a function of compression speed using an event-driven molecular dynamics algorithm. We find that during the compression, the pressure follows closely the metastable liquid branch until the…

Soft Condensed Matter · Physics 2016-05-19 Michiel Hermes , Marjolein Dijkstra

At low volume fraction, disordered arrangements of frictionless spheres are found in un--jammed states unable to support applied stresses, while at high volume fraction they are found in jammed states with mechanical strength. Here we show,…

Soft Condensed Matter · Physics 2015-03-17 Massimo Pica Ciamarra , Antonio Coniglio , Antonio de Candia

Using an athermal quasistatic simulation protocol, we study the distribution of free volumes in sheared hard-particle packings close to, but below, the random-close packing threshold. We show that under shear, and independent of volume…

Soft Condensed Matter · Physics 2015-10-28 Moumita Maiti , H. A. Vinutha , Srikanth Sastry , Claus Heussinger

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

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

We show that an analogy between crowding in fluid and jammed phases of hard spheres captures the density dependence of the kissing number for a family of numerically generated jammed states. We extend this analogy to jams of mixtures of…

We develop a model to describe the properties of random assemblies of polydisperse hard spheres. We show that the key features to describe the system are (i) the dependence between the free volume of a sphere and the various coordination…

Disordered Systems and Neural Networks · Physics 2015-05-19 Maximilien Danisch , Yuliang Jin , Hernan A. Makse

A recent proposal in which the equation of state of a polydisperse hard-sphere mixture is mapped onto that of the one-component fluid is extrapolated beyond the freezing point to estimate the jamming packing fraction $\phi_\text{J}$ of the…

Statistical Mechanics · Physics 2014-05-01 Andrés Santos , Santos B. Yuste , Mariano López de Haro , Gerardo Odriozola , Vitaliy Ogarko

The channel size distribution in hard sphere systems, based on the local neighbor correlation of four particle positions, is investigated for all volume fractions up to jamming. For each particle, all three particle combinations of…

Disordered Systems and Neural Networks · Physics 2015-06-19 Vitaliy Ogarko , Nicolas Rivas , Stefan Luding

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.…

Statistical Mechanics · Physics 2015-05-27 Chase E. Zachary , Yang Jiao , Salvatore Torquato

We numerically study the distributions of global pressure that are found in ensembles of statically jammed and quasistatically sheared systems of bidisperse, frictionless, disks at fixed packing fraction $\phi$ in two dimensions. We use…

Disordered Systems and Neural Networks · Physics 2015-06-17 Daniel Vagberg , Yegang Wu , Peter Olsson , S. Teitel

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…

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…

Soft Condensed Matter · Physics 2011-03-25 Cang Zhao , Kaiwen Tian , Ning Xu

Athermal packings of soft repulsive spheres exhibit a sharp jamming transition in the thermodynamic limit. Upon further compression, various structural and mechanical properties display clean power-law behavior over many decades in…

Soft Condensed Matter · Physics 2015-01-05 Carl P. Goodrich , Simon Dagois-Bohy , Brian P. Tighe , Martin van Hecke , Andrea J. Liu , Sidney R. Nagel

We consider a system of monodisperse hard spheres immersed in a sheared fluid. We obtain the distortion of the structure factor of the hard spheres at low shear rates, within a Percus-Yevick like framework. The consequent distortion of the…

Statistical Mechanics · Physics 2017-04-04 Noemi Barrera , Moshe Schwartz

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…

Soft Condensed Matter · Physics 2021-07-15 Paolo Rissone , Eric I. Corwin , Giorgio Parisi

We investigate the nature of randomness in disordered packings of frictional spheres. We calculate the entropy of 3D packings through the force and volume ensemble of jammed matter, a mesoscopic ensemble and numerical simulations using…

Soft Condensed Matter · Physics 2014-09-15 Christopher Briscoe , Chaoming Song , Ping Wang , Hernan A. Makse

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…

Statistical Mechanics · Physics 2009-11-10 A. Donev , S. Torquato , F. H. Stillinger

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…

Soft Condensed Matter · Physics 2026-03-26 Kuniyasu Saitoh , Brian P. Tighe
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