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Related papers: Why is Random Close Packing Reproducible?

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We numerically study structural properties of mechanically stable packings of hard spheres (HS), in a wide range of packing fractions $0.53 \le \phi \le 0.72$. Detailed structural information is obtained from the analysis of orientational…

Soft Condensed Matter · Physics 2014-07-30 Boris A. Klumov , Yuliang Jin , Hernan A. Makse

We study theoretically and numerically the microscopic cause of the mechanical stability of hard sphere glasses near their maximum packing. We show that, after coarse-graining over time, the hard sphere interaction can be described by an…

Soft Condensed Matter · Physics 2007-05-23 Carolina Brito , Matthieu Wyart

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

The random close packing fraction in two dimensions is calculated exactly via the central limit theorem and the brownian motion with no gain between monodisperse disks.

General Physics · Physics 2008-12-08 N. Olivi-Tran

We study random packings of frictionless particles at T=0. The packing fraction where the pressure becomes nonzero is the same as the jamming threshold, where the static shear modulus becomes nonzero. The distribution of threshold packing…

Soft Condensed Matter · Physics 2009-11-07 C. S. O'Hern , S. A. Langer , A. J. Liu , S. R. Nagel

We create collectively jammed (CJ) packings of 50-50 bidisperse mixtures of smooth disks in 2d using an algorithm in which we successively compress or expand soft particles and minimize the total energy at each step until the particles are…

Statistical Mechanics · Physics 2009-11-11 Ning Xu , Jerzy Blawzdziewicz , Corey S. O'Hern

The nature of randomness in disordered packings of frictional and frictionless spheres is investigated using theory and simulations of identical spherical grains. The entropy of the packings is defined through the force and volume ensemble…

Soft Condensed Matter · Physics 2015-05-14 Christopher Briscoe , Chaoming Song , Ping Wang , Hernan A. Makse

The problem of finding the most efficient way to pack spheres has an illustrious history, dating back to the crystalline arrays conjectured by Kepler and the random geometries explored by Bernal in the 60's. This problem finds applications…

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

Circles of a single size can pack together densely in a hexagonal lattice, but adding in size variety disrupts the order of those packings. We conduct simulations which generate dense random packings of circles with specified size…

Computational Physics · Physics 2024-06-18 David J. Meer , Isabela Galoustian , Julio Gabriel de Falco Manuel , Eric R. Weeks

We present a statistical mechanical description of randomly packed spherical particles, where the average coordination number is treated as a macroscopic thermodynamic variable. The overall packing entropy is shown to have two…

Soft Condensed Matter · Physics 2022-02-02 Jack A. Logan , Alexei V. Tkachenko

We systematically generate a large set of random micro-particle packings over a wide range of adhesion and friction by means of adhesive contact dynamics simulation. The ensemble of generated packings covers a range of volume fraction…

Soft Condensed Matter · Physics 2017-01-10 Wenwei Liu , Yuliang Jin , Sheng Chen , Hernán A. Makse , Shuiqing Li

We have produced loose packings of cohesionless, frictional spheres by sequential deposition of highly-spherical, monodisperse particles through a fluid. By varying the properties of the fluid and the particles, we have identified the…

Soft Condensed Matter · Physics 2010-06-17 Greg R. Farrell , K. Michael Martini , Narayanan Menon

We present a theoretical prediction on random close packing factor \phi_RCP^b of binary granular packings based on the hard-sphere fluid theory. An unexplored regime is unravelled, where the packing fraction \phi_RCP^b is smaller than that…

Soft Condensed Matter · Physics 2022-05-05 Si Suo , Chongpu Zhai , Minglong Xu , Marc Kamlah , Yixiang Gan

We use confocal microscopy to study a random close packed sample of colloidal particles. We introduce an algorithm to estimate the size of each particle. Taking into account their sizes, we compute the compressibility of the sample as a…

Soft Condensed Matter · Physics 2011-12-08 Rei Kurita , Eric R. Weeks

Hard-sphere colloids are popular as models for testing fundamental theories in condensed matter and statistical physics, from crystal nucleation to the glass transition. A single parameter, the volume fraction (phi), characterizes an ideal,…

Soft Condensed Matter · Physics 2017-12-27 Wilson C. K. Poon , Eric R. Weeks , C. Patrick Royall

A new approach to modelling the behaviour of simple fluids is presented. Starting from the usual expression of the partition function of N molecules, a Fourier transformation is performed. It is argued that the N(N-1)/2 dynamical variables…

Fluid Dynamics · Physics 2020-03-03 Richard Bonneville

In this short commentary we provide our comment on the article "Explicit Analytical Solution for Random Close Packing in $d=2$ and $d=3$" and its subsequent Erratum that are recently published in Physical Review Letters. In that Letter, the…

Soft Condensed Matter · Physics 2022-08-03 Duyu Chen , Ran Ni

This is the first paper of a series of three, reporting on numerical simulation studies of geometric and mechanical properties of static assemblies of spherical beads under an isotropic pressure. Frictionless systems assemble in the unique…

Disordered Systems and Neural Networks · Physics 2008-02-01 Ivana Agnolin , Jean-Noël Roux

Predicting theoretically the highest density, which a disordered packing of discs can achieve, has been a long-standing unresolved problem. Such predictions are hindered by two difficulties - the dependence of the density on the packing…

Soft Condensed Matter · Physics 2026-05-26 Raphael Blumenfeld

Hard spheres are ubiquitous in condensed matter: they have been used as models for liquids, crystals, colloidal systems, granular systems, and powders. Packings of hard spheres are of even wider interest, as they are related to important…

Disordered Systems and Neural Networks · Physics 2015-03-13 Giorgio Parisi , Francesco Zamponi