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The role of friction coefficient, $\mu$, on the jamming properties of disordered, particle packings is studied using computer simulations. Compressed, soft-sphere packings are brought towards the jamming transition - the point where a…

Soft Condensed Matter · Physics 2011-08-02 Leonardo E. Silbert

The thermodynamic properties of disks moving in a channel sufficiently narrow that they can collide only with their nearest neighbors can be solved exactly by determining the eigenvalues and eigenfunctions of an integral equation. Using it…

Soft Condensed Matter · Physics 2014-03-17 M. J. Godfrey , M. A. Moore

One of the central problems of the liquid-glass transition is whether there is a structural signature that can qualitatively distinguish different dynamic behaviors at different degrees of supercooling. Here, we propose a novel structural…

Soft Condensed Matter · Physics 2015-09-24 Yan-Wei Li , You-Liang Zhu , Zhao-Yan Sun

In jammed packings, it is usually thought that local structure only plays a significant role in specific regimes. The standard deviation of the relative excess coordination, $\sigma_Z/ Z_\mathrm{c}$, decays like $1/\sqrt{d}$, so that local…

Soft Condensed Matter · Physics 2022-04-14 Sean A. Ridout , Jason W. Rocks , Andrea J. Liu

The small wavenumber $k$ behavior of the structure factor $S(k)$ of overcompressed amorphous hard-sphere configurations was previously studied for a wide range of densities up to the maximally random jammed state, which can be viewed as a…

Statistical Mechanics · Physics 2015-06-11 Étienne Marcotte , Frank H. Stillinger , Salvatore Torquato

The maximally random jammed (MRJ) state is the most random configuration of strictly jammed (mechanically rigid) nonoverlapping objects. MRJ packings are hyperuniform, meaning their long-wavelength density fluctuations are anomalously…

Soft Condensed Matter · Physics 2023-12-11 Charles Emmett Maher , Yang Jiao , Salvatore Torquato

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

Motivated in part by the recent observation of liquid glass in suspensions of ellipsoidal colloids, we examine the structure of jammed ellipse packings over a much wider range of particle aspect ratios ($\alpha$) than has been previously…

Soft Condensed Matter · Physics 2023-06-01 Sebastian Rocks , Robert S. Hoy

We have discovered a new family of three-dimensional crystal sphere packings that are strictly jammed (i.e., mechanically stable) and yet possess an anomalously low density. This family constitutes an uncountably infinite number of crystal…

Soft Condensed Matter · Physics 2009-11-13 S. Torquato , F. H. Stillinger

A new tetrahedral structure model was developed and the geometrical structure of jammed disordered packings of monodisperse spheres with different friction coefficients was systematically characterized. An intrinsic structure feature is…

Soft Condensed Matter · Physics 2020-10-06 S. Q. Jiang , M. Z. Li

The structural properties of dense random packings of identical hard spheres (HS) are investigated. The bond order parameter method is used to obtain detailed information on the local structural properties of the system for different…

Soft Condensed Matter · Physics 2015-05-27 B. A. Klumov , S. A. Khrapak , G. E. Morfill

Jammed particulate systems, such as granular media, colloids, and foams, interact via one-sided forces that are nonzero only when particles overlap. We find that systems with one-sided repulsive interactions possess no linear response…

Soft Condensed Matter · Physics 2011-08-29 Carl F. Schreck , Thibault Bertrand , Corey S. O'Hern , M. D. Shattuck

We carry out numerical simulations of soft, U-shaped, frictionless particles in $d=2$ dimensions in order to explore the effects of complex particle shape on the jamming transition. We consider both cases of uniform compression-driven and…

Soft Condensed Matter · Physics 2015-03-18 Theodore Marschall , Scott V. Franklin , S. Teitel

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

Dislocation assemblies exhibit a jamming or yielding transition at a critical external shear stress value $\sigma=\sigma_c$. Nevertheless the nature of this transition has not been ascertained. Here we study the heterogeneous and collective…

Statistical Mechanics · Physics 2015-05-18 Lasse Laurson , M. -Carmen Miguel , Mikko J. Alava

We show for the first time that collectively jammed disordered packings of three-dimensional monodisperse frictionless hard spheres can be produced and tuned using a novel numerical protocol with packing density $\phi$ as low as 0.6. This…

Statistical Mechanics · Physics 2011-01-10 Yang Jiao , Frank H. Stillinger , Sal Torquato

Recent theoretical advances offer an exact, first-principle theory of jamming criticality in infinite dimension as well as universal scaling relations between critical exponents in all dimensions. For packings of frictionless spheres near…

Statistical Mechanics · Physics 2015-04-21 P. Charbonneau , E. I. Corwin , G. Parisi , F. Zamponi

Dense random packings of hard particles are useful models of granular media and are closely related to the structure of nonequilibrium low-temperature amorphous phases of matter. Most work has been done for random jammed packings of…

Statistical Mechanics · Physics 2015-05-14 Y. Jiao , F. H. Stillinger , S. Torquato

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

Jamming, or dynamical arrest, is a transition at which many particles stop moving in a collective manner. In nature it is brought about by, for example, increasing the packing density, changing the interactions between particles, or…

Statistical Mechanics · Physics 2009-11-11 Paolo De Gregorio , Aonghus Lawlor , Phil Bradley , Kenneth A. Dawson