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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…

统计力学 · 物理学 2015-05-19 Salvatore Torquato , Frank H. Stillinger

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…

统计力学 · 物理学 2018-08-01 Salvatore Torquato

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…

材料科学 · 物理学 2007-05-23 Aleksandar Donev , Salvatore Torquato , Frank H. Stillinger , Robert Connelly

The channel size distribution in hard sphere systems, based on the local neighbor correlation of four particle positions, is investigated for all volume fractions up to jamming. For each particle, all three particle combinations of…

无序系统与神经网络 · 物理学 2015-06-19 Vitaliy Ogarko , Nicolas Rivas , Stefan Luding

We generate and study an ensemble of isostatic jammed hard-sphere lattices. These lattices are obtained by compression of a periodic system with an adaptive unit cell containing a single sphere until the point of mechanical stability. We…

统计力学 · 物理学 2014-01-10 Yoav Kallus , Étienne Marcotte , Salvatore Torquato

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…

无序系统与神经网络 · 物理学 2015-03-13 Giorgio Parisi , Francesco Zamponi

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…

软凝聚态物质 · 物理学 2021-07-15 Paolo Rissone , Eric I. Corwin , Giorgio Parisi

Random packings of objects of a particular shape are ubiquitous in science and engineering. However, such jammed matter states have eluded any systematic theoretical treatment due to the strong positional and orientational correlations…

软凝聚态物质 · 物理学 2014-06-06 Adrian Baule , Hernán A. Makse

Rigid particles pack into structures, such as sand dunes on the beach, whose overall stability is determined by the average number of contacts between particles. However, when packing spatially extended objects with flexible shapes,…

软凝聚态物质 · 物理学 2009-11-13 Ling-Nan Zou , Xiang Cheng , Mark L. Rivers , Heinrich M. Jaeger , Sidney R. Nagel

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,…

软凝聚态物质 · 物理学 2020-02-04 Ruru Li , Daniel Lester

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…

软凝聚态物质 · 物理学 2016-05-19 Michiel Hermes , Marjolein Dijkstra

Maximally random jammed (MRJ) particle packings can be viewed as prototypical glasses in that they are maximally disordered while simultaneously being mechanically rigid. The prediction of the MRJ packing density phi, among other packing…

软凝聚态物质 · 物理学 2016-05-24 Jianxiang Tian , Y. Xu , Y. Jiao , S. Torquato

Hyperuniformity characterizes a state of matter that is poised at a critical point at which density or volume-fraction fluctuations are anomalously suppressed at infinite wavelengths. Recently, much attention has been given to the link…

统计力学 · 物理学 2016-08-03 Steven Atkinson , Ge Zhang , Adam B. Hopkins , Salvatore Torquato

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

One major goal in condensed matter physics is identifying the physical mechanisms that lead to arrested states of matter, especially gels and glasses. The complex nature and microscopic details of each particular system are relevant.…

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

Packing problems, which ask how to arrange a collection of objects in space to meet certain criteria, are important in a great many physical and biological systems, where geometrical arrangements at small scales control behaviour at larger…

软凝聚态物质 · 物理学 2016-05-23 Miranda C. Holmes-Cerfon

A broad class of blocked or jammed configurations of particles on the one-dimensional lattice can be characterized in terms of local rules involving only the lengths of clusters of particles (occupied sites) and of holes (empty sites).…

统计力学 · 物理学 2024-05-22 Jean-Marc Luck

Jammed packings' mechanical properties depend sensitively on their detailed local structure. Here we provide a complete characterization of the pair correlation close to contact and of the force distribution of jammed frictionless spheres.…

统计力学 · 物理学 2012-11-15 Patrick Charbonneau , Eric I. Corwin , Giorgio Parisi , Francesco Zamponi

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…

软凝聚态物质 · 物理学 2015-05-19 Daniel Vågberg , Peter Olsson , S. Teitel
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