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In stark contrast to the jamming of frictionless hard-sphere (hard-disk if in two dimensions) packings, the critical jamming of frictional packings is much more elusive and still under intense debate. Here we show that frictional hard-disk…

Soft Condensed Matter · Physics 2021-10-15 Aile Sun , Yinqiao Wang , Yangrui Chen , Jin Shang , Xulai Sun , Jie Zheng , Yujie Wang , Jie Zhang

Colloidal and other granular media experience a transition to rigidity known as jamming if the fill fraction is increased beyond a critical value. The resulting jammed structures are locally disordered, bear applied loads inhomogenously,…

Soft Condensed Matter · Physics 2016-08-04 Christopher J. Burke , Timothy J. Atherton

The fact that a disordered material is not constrained in its properties in the same way as a crystal presents significant and yet largely untapped potential for novel material design. However, unlike their crystalline counterparts,…

Soft Condensed Matter · Physics 2015-10-30 Carl P. Goodrich

The local structure of disordered jammed packings of monodisperse spheres without friction, generated by the Lubachevsky-Stillinger algorithm, is studied for packing fractions above and below 64%. The structural similarity of the particle…

Soft Condensed Matter · Physics 2015-06-04 Sebastian C. Kapfer , Walter Mickel , Klaus Mecke , Gerd E. Schröder-Turk

Mechanically stable sphere packings are generated in three-dimensional space using the discrete element method, which span a wide range in structural order, ranging from fully amorphous to quasi-ordered structures, as characterized by the…

Soft Condensed Matter · Physics 2020-11-25 Hideyuki Mizuno , Kuniyasu Saitoh , Leonardo E. Silbert

We study various temporal correlation functions of a tagged particle in one-dimensional systems of interacting point particles evolving with Hamiltonian dynamics. Initial conditions of the particles are chosen from the canonical thermal…

Statistical Mechanics · Physics 2015-06-25 Anjan Roy , Abhishek Dhar , Onuttom Narayan , Sanjib Sabhapandit

We perform computational studies of static packings of a variety of nonspherical particles including circulo-lines, circulo-polygons, ellipses, asymmetric dimers, and dumbbells to determine which shapes form hypostatic versus isostatic…

Soft Condensed Matter · Physics 2018-01-24 Kyle VanderWerf , Weiwei Jin , Mark D. Shattuck , Corey S. O'Hern

Elementary smooth functions (beyond contact) are employed to construct pair correlation functions that mimic jammed disordered sphere packings. Using the g2-invariant optimization method of Torquato and Stillinger [J. Phys. Chem. B 106,…

Statistical Mechanics · Physics 2009-11-13 Adam B. Hopkins , Frank H. Stillinger , Salvatore Torquato

We perform a structural analysis of large scale jammed packings of monodisperse, frictionless and frictional spheres to elucidate structural signatures of the static structure factor in the low-to-intermediate wavenumber ($q$) region. We…

The postulate of the existence of a jamming phase diagram (Liu and Nagel, Nature 396, 21 EP (1998aa)) provides a theoretical basis for the classification of a wide range of amorphous solids (colloidal, molecular and emulsion glasses,…

Soft Condensed Matter · Physics 2020-02-04 Ruru Li , Daniel Lester

An outstanding question in the physics of soft jammed packings concerns the nature of the correlations that arise near the unjamming transition. In this work, we treat unjamming as a constraint satisfaction problem and demonstrate that a…

Disordered Systems and Neural Networks · Physics 2010-07-05 Mitch Mailman , Bulbul Chakraborty

Disordered jammed packings under confinement have received considerably less attention than their \textit{bulk} counterparts and yet arise in a variety of practical situations. In this work, we study binary sphere packings that are confined…

Statistical Mechanics · Physics 2015-12-31 Duyu Chen , Salvatore Torquato

The jamming of bi-disperse soft core disks is considered, using a variety of different protocols to produce the jammed state. In agreement with other works, we find that cooling and compression can lead to a broad range of jamming packing…

Soft Condensed Matter · Physics 2015-05-19 Daniel Vågberg , Peter Olsson , S. Teitel

We experimentally investigate jamming in a quasi-two-dimensional granular system of automatically swelling particles and show that a maximum in the height of the first peak of the pair correlation function is a structural signature of the…

Soft Condensed Matter · Physics 2015-05-13 Xiang Cheng

We report calculations of the density of maximally random jamming (aka random close packing) of one-component and binary hard disc fluids. The theoretical structure used provides a common framework for description of the hard disc liquid to…

Soft Condensed Matter · Physics 2010-10-06 Xinliang Xu , Stuart A. Rice

In the first two papers of this series, we characterized the structure of maximally random jammed (MRJ) sphere packings across length scales by computing a variety of different correlation functions, spectral functions, hole probabilities,…

Statistical Mechanics · Physics 2018-01-24 Michael A. Klatt , Salvatore Torquato

Due to the lack of long-range order, it remains challenging to characterize the structure of disordered solids and understand the nature of the glass transition. Here we propose a new structural order parameter by taking into account…

Soft Condensed Matter · Physics 2024-08-26 Ding Xu , Qinyi Liao , Ning Xu

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

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

We numerically simulate mechanically stable packings of soft-core, frictionless, bidisperse disks in two dimensions, above the jamming packing fraction phi_J. For configurations with a fixed isotropic global stress tensor, we investigate…

Disordered Systems and Neural Networks · Physics 2015-12-23 Yegang Wu , Peter Olsson , S. Teitel