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Predicting the densest random disc packing fraction is an unsolved paradigm problem relevant to a number of disciplines and technologies. One difficulty is that it is ill-defined without setting a criterion for the disorder. Another is that…

Statistical Mechanics · Physics 2021-09-15 Raphael Blumenfeld

The high-pressure compaction of three dimensional granular packings is simulated using a bonded particle model (BPM) to capture linear elastic deformation. In the model, grains are represented by a collection of point particles connected by…

Soft Condensed Matter · Physics 2023-10-19 Joel T. Clemmer , Joseph M. Monti , Jeremy B. Lechman

We simulate a model of self-propelled disks with soft repulsive interactions confined to a box in two dimensions. For small rotational diffusion rates, monodisperse disks spontaneously accumulate at the walls. At low densities, interaction…

Soft Condensed Matter · Physics 2014-03-05 Xingbo Yang , M. Lisa Manning , M. Cristina Marchetti

With a novel 3D discrete-element method specially developed with adhesive contact mechanics, random loose packings of uniform spherical micron-sized particles are fully investigated. The results show that large velocity, large size or weak…

Soft Condensed Matter · Physics 2016-09-12 Wenwei Liu , Shuiqing Li , Sheng Chen

Assemblies of purely repulsive and frictionless particles, such as emulsions or hard spheres, display very curious properties near their jamming transition, which occurs at the random close packing for mono-disperse spheres. Although such…

Soft Condensed Matter · Physics 2014-11-19 Matthieu Wyart

Understanding the way disordered particle packings transition between jammed (rigid) and unjammed (fluid) states is of both great practical importance and strong fundamental interest. The values of critical packing fraction (and other state…

Soft Condensed Matter · Physics 2026-04-14 Sangwoo Kim , Sascha Hilgenfeldt

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

Self-organization, and transitions from reversible to irreversible behaviour, of interacting particle assemblies driven by externally imposed stresses or deformation is of interest in comprehending diverse phenomena in soft matter. They…

Soft Condensed Matter · Physics 2022-06-08 Pallabi Das , Vinutha H. A. , Srikanth Sastry

We perform molecular dynamics simulations to compress binary hard spheres into jammed packings as a function of the compression rate $R$, size ratio $\alpha$, and number fraction $x_S$ of small particles to determine the connection between…

Materials Science · Physics 2015-06-19 Kai Zhang , W. Wendell Smith , Minglei Wang , Yanhui Liu , Jan Schroers , Mark D. Shattuck , Corey S. O'Hern

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

This review describes the diversity of jammed configurations attainable by frictionless convex nonoverlapping (hard) particles in Euclidean spaces and for that purpose it stresses individual-packing geometric analysis. A fundamental feature…

Statistical Mechanics · Physics 2015-05-19 Salvatore Torquato , Frank H. Stillinger

A simple dynamical model, Biased Random Organization, BRO, appears to produce configurations known as Random Close Packing (RCP) as BRO's densest critical point in dimension $d=3$. We conjecture that BRO likewise produces RCP in any…

Statistical Mechanics · Physics 2023-10-17 Sam Wilken , Ashley Z. Guo , Dov Levine , Paul M. Chaikin

It is presented a numerical study on the unjamming packing fraction of bi- and polydisperse disk packings, which are generated through compression of a monodisperse crystal. In bidisperse systems, a fraction f_+ = 40% up to 80% of the total…

Statistical Mechanics · Physics 2010-10-14 Fabricio Q. Potiguar

Jamming in hard-particle packings has been the subject of considerable interest in recent years. In a paper by Torquato and Stillinger [J. Phys. Chem. B, 105 (2001)], a classification scheme of jammed packings into hierarchical categories…

Materials Science · Physics 2007-05-23 Aleksandar Donev , Salvatore Torquato , Frank H. Stillinger , Robert Connelly

We present the first study of disordered jammed hard-sphere packings in four-, five- and six-dimensional Euclidean spaces. Using a collision-driven packing generation algorithm, we obtain the first estimates for the packing fractions of the…

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

When are athermal soft sphere packings jammed ? Any experimentally relevant definition must at the very least require a jammed packing to resist shear. We demonstrate that widely used (numerical) protocols in which particles are compressed…

Soft Condensed Matter · Physics 2013-02-06 S. Dagois-Bohy , B. P. Tighe , J. Simon , S. Henkes , M. van Hecke

It has been recently pointed out by Farr and Groot (arXiv:0912.0852) and by Kyrylyuk and Philipse (Prog. Colloid Polym. Sci., 2010, in press) that our theoretical result for the jamming density of a binary mixture of hard spheres…

Soft Condensed Matter · Physics 2010-05-24 I. Biazzo , F. Caltagirone , G. Parisi , F. Zamponi

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 consider a model for driven particulate matter in which absorbing states can be reached both by particle isolation and by particle caging. The model predicts a non-equilibrium phase diagram in which analogues of hydrodynamic and elastic…

Soft Condensed Matter · Physics 2020-03-04 Christopher Ness , Michael E. Cates

An exact description of the complete jamming landscape is developed for a system of hard discs of diameter $\sigma$, confined between two lines separated by a distance $1+\sqrt{3/4} < H/\sigma < 2$. By considering all possible local packing…

Soft Condensed Matter · Physics 2015-05-13 S. S. Ashwin , Richard k. Bowles