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Related papers: Absence of hyperuniformity in amorphous hard-spher…

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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

Disordered and hyperuniform structures of densely packed spheres near and at jamming are characterized by vanishing of long-wavelength density fluctuations, or equivalently by long-range power-law decay of the direct correlation function…

Statistical Mechanics · Physics 2021-10-04 Hiroshi Frusawa

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

The concept of hyperuniformity has been a useful tool in the study of large-scale density fluctuations in systems ranging across the natural and mathematical sciences. One can rank a large class of hyperuniform systems by their ability to…

Statistical Mechanics · Physics 2019-02-20 Timothy M. Middlemas , Frank H. Stillinger , Salvatore Torquato

Understanding how particles are arranged on the sphere is not only central to numerous physical, biological, and materials systems but also finds applications in mathematics and in analysis of geophysical and meteorological measurements. In…

Soft Condensed Matter · Physics 2019-03-06 Anže Lošdorfer Božič , Simon Čopar

We numerically study the structure of the interactions occurring in three-dimensional systems of hard spheres at jamming, focusing on the large-scale behavior. Given the fundamental role they play in the configuration of jammed packings, we…

Soft Condensed Matter · Physics 2021-07-15 Paolo Rissone , Eric I. Corwin , Giorgio Parisi

Hyperuniform disorder is a type of correlated disorder characterized by vanishing spectral density at small wavevectors, making the configuration effectively homogeneous on long length scales. In photonics, hyperuniform disorder is…

Optics · Physics 2026-03-05 Zeyu Zhang , Koorosh Sadri , Brian Gould , Mikael Rechtsman

Studies of random organization models of monodisperse spherical particles have shown that a hyperuniform state is achievable when the system goes through an absorbing phase transition to a critical state. Here we investigate to what extent…

Soft Condensed Matter · Physics 2019-02-20 Zheng Ma , Salvatore Torquato

A system of identical disks is confined to a narrow channel, closed off at one end by a stopper and at the other end by a piston. All surfaces are hard and frictionless. A uniform gravitational field is directed parallel to the plane of the…

Statistical Mechanics · Physics 2013-04-18 Norman Gundlach , Michael Karbach , Dan Liu , Gerhard Muller

Jammed (mechanically rigid) polydisperse circular-disk packings in two dimensions (2D) are popular models for structural glass formers. Maximally random jammed (MRJ) states, which are the most disordered packings subject to strict jamming,…

Soft Condensed Matter · Physics 2024-12-17 Charles Emmett Maher , Salvatore Torquato

We demonstrate that hyperuniformity, the suppression of density fluctuations at large length scales, emerges generically from the interplay between conservation laws and non-equilibrium driving. The underlying mechanism for this emergence…

Statistical Mechanics · Physics 2025-12-09 Raphaël Maire , Ludivine Chaix

Hyperuniformity is a property of certain heteroneous media in which density fluctuations in the long wavelength range decay to zero. In reciprocal space this behavior translates into a decay of Fourier intensities in the range near small…

Applied Physics · Physics 2023-09-08 Mario Lázaro , Luis M. García-Raffi

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

We derive expressions for the critical density for jamming in a hyper-rhomboid system of arbitrary shape in any dimension for the Kob-Andersen and Fredrickson-Andersen kinetically-constrained models. We find that changing the system's shape…

Statistical Mechanics · Physics 2014-05-02 Eial Teomy , Yair Shokef

The recently developed concept of spreadability, $\mathcal{S}(t)$, provides a direct link between time-dependent diffusive transport and the microstructure of two-phase media across length scales. We explicitly compute $\mathcal{S}(t)$ for…

Materials Science · Physics 2022-03-10 Haina Wang , Salvatore Torquato

This work investigates jammed granular matter under conditions that produce heterogeneous mass distributions on a mesoscopic scale. We consider a system of identical disks that are confined to a narrow channel, open at one end and closed…

Statistical Mechanics · Physics 2014-04-21 Christopher Moore , Dan Liu , Benjamin Ballnus , Michael Karbach , Gerhard Müller

Starting from the second equilibrium equation in the BBGKY hierarchy under the Kirkwood superposition closure, we implement a new method for studying the asymptotic decay of correlations in the hard disk fluid in the high density regime.…

Statistical Mechanics · Physics 2015-05-20 Jaroslaw Piasecki , Piotr Szymczak , John J. Kozak

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

Any compact spacelike hypersurface immersed in a doubly warped product spacetime $I{}_{h} \times_{\rho} \mathbb{P}$ with nondecreasing warping factor $\rho$ must be a spacelike slice, provided that the mean curvature satisfies…

Differential Geometry · Mathematics 2021-09-10 Giulio Colombo , José A. S. Pelegrín , Marco Rigoli

Numerous soft materials jam into an amorphous solid at high packing fraction. This non-equilibrium phase transition is best understood in the context of a model system in which particles repel elastically when they overlap. Recently,…

Soft Condensed Matter · Physics 2020-08-26 Dion J. Koeze , Lingtjien Hong , Abhishek Kumar , Brian P. Tighe