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We find in complementary experiments and event driven simulations of sheared inelastic hard spheres that the velocity autocorrelation function $\psi(t)$ decays much faster than $t^{-3/2}$ obtained for a fluid of elastic spheres at…

软凝聚态物质 · 物理学 2009-11-13 Ashish V. Orpe , V. Kumaran , K. Anki Reddy , Arshad Kudrolli

Finding the densest sphere packing in $d$-dimensional Euclidean space $\mathbb{R}^d$ is an outstanding fundamental problem with relevance in many fields, including the ground states of molecular systems, colloidal crystal structures, coding…

统计力学 · 物理学 2013-06-12 Étienne Marcotte , Salvatore Torquato

We determine the site and bond percolation thresholds for a system of disordered jammed sphere packings in the maximally random jammed state, generated by the Torquato-Jiao algorithm. For the site threshold, which gives the fraction of…

无序系统与神经网络 · 物理学 2017-03-08 Robert M. Ziff , Salvatore Torquato

Continuing on recent computational and experimental work on jammed packings of hard ellipsoids [Donev et al., Science, vol. 303, 990-993] we consider jamming in packings of smooth strictly convex nonspherical hard particles. We explain why…

材料科学 · 物理学 2009-11-11 A. Donev , R. Connelly , F. H. Stillinger , S. Torquato

Using a Lubachevsky-Stillinger-like growth algorithm combined with biased SWAP Monte Carlo and transient degrees of freedom, we generate ultradense disordered jammed ellipse packings. For all aspect ratios $\alpha$, these packings exhibit…

软凝聚态物质 · 物理学 2024-10-01 Robert S. Hoy

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…

统计力学 · 物理学 2015-12-31 Duyu Chen , Salvatore Torquato

We computationally study jammed disordered hard-sphere packings as large as a million particles. We show that the packings are saturated and hyperuniform, i.e., that local density fluctuations grow only as a logarithmically-augmented…

统计力学 · 物理学 2009-11-11 A. Donev , F. H. Stillinger , S. Torquato

Sphere packing problems have a rich history in both mathematics and physics; yet, relatively few analytical analyses of sphere packings exist, and answers to seemingly simple questions are unknown. Here, we present an analytical method for…

软凝聚态物质 · 物理学 2013-10-17 Natalie Arkus , Vinothan N. Manoharan , Michael P. Brenner

We numerically study the jamming transition of frictionless polydisperse spheres in three dimensions. We use an efficient thermalisation algorithm for the equilibrium hard sphere fluid and generate amorphous jammed packings over a range of…

统计力学 · 物理学 2017-10-16 Misaki Ozawa , Ludovic Berthier , Daniele Coslovich

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…

软凝聚态物质 · 物理学 2015-05-27 B. A. Klumov , S. A. Khrapak , G. E. Morfill

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…

统计力学 · 物理学 2015-05-14 Y. Jiao , F. H. Stillinger , S. Torquato

We generate non-lattice packings of spheres in up to 22 dimensions using the geometrical constraint satisfaction algorithm RRR. Our aggregated data suggest that it is easy to double the density of Ball's lower bound, and more tentatively,…

度量几何 · 数学 2023-07-12 Veit Elser

We numerically analyse the density field of three-dimensional randomly jammed packings of monodisperse soft frictionles spherical particles, paying special attention to fluctuations occurring at large lengthscales. We study in detail the…

统计力学 · 物理学 2017-05-18 Atsushi Ikeda , Ludovic Berthier , Giorgio Parisi

We study the dependence of the pair-correlation function, $g(r)$, and particle mobility on packing fraction in a dense three-dimensional packing of soft colloids made of poly N-isopropyl acrylamide (pNIPAM), a thermo-sensitive gel. We find…

软凝聚态物质 · 物理学 2014-01-16 Thomas A. Caswell , Zexin Zhang , Margaret L. Gardel , Sidney R. Nagel

This paper analyzes the compaction behavior of assemblies composed of soft (elastic) spherical particles beyond the jammed state, using three-dimensional non-smooth contact dynamic simulations. The assemblies of particles are characterized…

软凝聚态物质 · 物理学 2021-09-09 Manuel Cárdenas-Barrantes , David Cantor , Jonathan Barés , Mathieu Renouf , Emilien Azéma

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…

软凝聚态物质 · 物理学 2011-08-02 Leonardo E. Silbert

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…

软凝聚态物质 · 物理学 2015-06-04 Sebastian C. Kapfer , Walter Mickel , Klaus Mecke , Gerd E. Schröder-Turk

Disordered stealthy hyperuniform (SHU) packings are an emerging class of exotic amorphous two-phase materials endowed with novel physical properties. Such packings of identical spheres have been created from SHU point patterns via a…

软凝聚态物质 · 物理学 2025-04-24 Jaeuk Kim , Salvatore Torquato

An analysis of the direct correlation functions $c_{ij} (r)$ of binary additive hard-sphere mixtures of diameters $\sigma_s$ and $\sigma_b$ (where the subscripts $s$ and $b$ refer to the "small" and "big" spheres, respectively), as obtained…

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…

统计力学 · 物理学 2021-10-04 Hiroshi Frusawa