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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

We study the influence of particle size asymmetry on structural evolution of randomly jammed binary sphere mixtures with varying large-sphere/small-sphere composition. Simulations of jammed packings are used to assess the transition from…

Soft Condensed Matter · Physics 2017-11-29 Ishan Prasad , Christian D. Santangelo , Gregory M. Grason

By using the most sensitive two-point correlation functions introduced to date, we reconstruct the microstructures of two-phase random media with heretofore unattained accuracy. Such media arise in a host of contexts, including porous and…

Materials Science · Physics 2015-06-03 Chase E. Zachary , Salvatore Torquato

Jamming is a geometric phase transition occurring in dense particle systems in the absence of temperature. We use computer simulations to analyse the effect of thermal fluctuations on several signatures of the transition. We show that…

Statistical Mechanics · Physics 2015-07-16 Atsushi Ikeda , Ludovic Berthier

Packing problems have been a source of fascination for millenia and their study has produced a rich literature that spans numerous disciplines. Investigations of hard-particle packing models have provided basic insights into the structure…

Statistical Mechanics · Physics 2018-08-01 Salvatore Torquato

Dense packing of hydrophobic residues in the cores of globular proteins determines their stability. Recently, we have shown that protein cores possess packing fraction $\phi \approx 0.56$, which is the same as dense, random packing of amino…

Biomolecules · Quantitative Biology 2019-02-22 John D. Treado , Zhe Mei , Lynne Regan , Corey S. O'Hern

The repulsive Fermi Hubbard model on the square lattice has a rich phase diagram near half-filling (corresponding to the particle density per lattice site $n=1$): for $n=1$ the ground state is an antiferromagnetic insulator, at $0.6 < n…

Strongly Correlated Electrons · Physics 2017-09-06 Fedor Šimkovic IV. , Youjin Deng , N. V. Prokof'ev , B. V. Svistunov , I. Tupitsyn , Evgeny Kozik

We study more than $10^4$ random aggregates of $10^6$ monodisperse sticky hard spheres each, generated by various static algorithms. Their packing fraction varies from 0.370 up to 0.593. These aggregates are shown to be based on two types…

Disordered Systems and Neural Networks · Physics 2019-09-30 M. Blétry , V. Russier , E. Barbé , J. Blétry

A multi-time extension of a density correlation function is introduced to reveal temporal information about dynamical heterogeneity in glass-forming liquids. We utilize a multi-time correlation function that is analogous to the higher-order…

Soft Condensed Matter · Physics 2010-08-03 Kang Kim , Shinji Saito

We have studied how 2- and 3- dimensional systems made up of particles interacting with finite range, repulsive potentials jam (i.e., develop a yield stress in a disordered state) at zero temperature and applied stress. For each…

Soft Condensed Matter · Physics 2007-05-23 C. S. O'Hern , L. E. Silbert , A. J. Liu , S. R. Nagel

We study the variance in the number of points contained within a window $\Omega$ of arbitrary size, and to further illuminate our understanding of {\it hyperuniform} systems, i.e., point patterns that do not possess long-wavelength…

Statistical Mechanics · Physics 2009-11-10 Salvatore Torquato , Frank H. Stillinger

We study theoretically and numerically how hard frictionless particles in random packings can rearrange. We demonstrate the existence of two distinct unstable non-linear modes of rearrangement, both associated with the opening and the…

Soft Condensed Matter · Physics 2014-11-19 Edan Lerner , Gustavo Düring , Matthieu Wyart

The formation of self-organised structures that resist shear deformation have been discussed in the context of shear jamming and thickening[1-3], with frictional forces playing a key role. However, shear induces geometric features necessary…

Soft Condensed Matter · Physics 2019-01-23 H. A. Vinutha , Srikanth Sastry

The jamming transition is ubiquitous. It is present in granular matter, colloids, glasses, and many other systems. Yet, it defines a critical point whose properties still need to be fully understood. A major breakthrough came about when the…

Soft Condensed Matter · Physics 2023-09-11 Claudia Artiaco , Rafael Díaz Hernández Rojas , Giorgio Parisi , Federico Ricci-Tersenghi

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

We study the nature of the frictional jamming transition within the framework of rigidity percolation theory. Slowly sheared frictional packings are decomposed into rigid clusters and floppy regions with a generalization of the pebble game…

Soft Condensed Matter · Physics 2016-01-20 Silke Henkes , David A. Quint , Y. Fily , J. M. Schwarz

Employing numerical and theoretical methods, we investigate the structural characteristics of random sequential addition (RSA) of congruent spheres in $d$-dimensional Euclidean space $\mathbb{R}^d$ in the infinite-time or saturation limit…

Statistical Mechanics · Physics 2015-06-25 S. Torquato , O. U. Uche , F. H. Stillinger

Starting with a formally exact diagrammatic kinetic theory for the equilibrium correlation functions of particle density and current fluctuations for a monatomic liquid, we develop a theory for high density liquids whose interatomic…

Statistical Mechanics · Physics 2015-06-17 Kevin R. Pilkiewicz , Hans C. Andersen

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

We have studied the contact network properties of two and three dimensional polydisperse, frictionless sphere packings at the random closed packing density through simulations. We observe universal correlations between particle size and…

Soft Condensed Matter · Physics 2014-03-05 C. B. O'Donovan , E. I. Corwin , M. E. Möbius