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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 of great interest in many diverse contexts for many centuries. The optimal packing of identical objects has been often invoked to understand the nature of low temperature phases of matter. In celebrated work,…

统计力学 · 物理学 2009-11-13 Antonio Trovato , Trinh X. Hoang , Jayanth R. Banavar , Amos Maritan

Bead packs of up to 150,000 mono-sized spheres with packing densities ranging from 0.58 to 0.64 have been studied by means of X-ray Computed Tomography. These studies represent the largest and the most accurate description of the structure…

无序系统与神经网络 · 物理学 2007-09-19 T. Aste , M. Saadatfar , A. Sakellariou , T. J. Senden

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

Dense, disordered packings of particles are useful models of low-temperature amorphous phases of matter, biological systems, granular media, and colloidal systems. The study of dense packings of nonspherical particles enables one to…

软凝聚态物质 · 物理学 2022-05-09 Charles Emmett Maher , Frank H. Stillinger , Salvatore Torquato

Hard models for particle interactions have played a crucial role in the understanding of the structure of condensed matter. In particular, they help to explain the formation of oriented phases in liquids made of anisotropic molecules or…

软凝聚态物质 · 物理学 2015-06-22 Luis Mederos , Enrique Velasco , Yuri Martinez-Raton

A multiphysics modeling approach for heat conduction in metal hydride powders is presented, including particle shape distribution, size distribution, granular packing structure, and effective thermal conductivity. A statistical geometric…

软凝聚态物质 · 物理学 2014-11-03 Kyle C. Smith , Timothy S. Fisher

Hard-particle packings have served as useful starting points to study the structure of diverse systems such as liquids, living cells, granular media, glasses, and amorphous solids. Howard Reiss has played a major role in helping to…

统计力学 · 物理学 2007-05-23 S. Torquato , F. H. Stillinger

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

The inherent structure landscape for a system of hard spheres confined to a hard cylindrical channel, such that spheres can only contact their first and second neighbours, is studied using an analytical model that extends previous results…

软凝聚态物质 · 物理学 2021-12-15 Mahdi Zarif , Raymond J. Spiteri , Richard K. Bowles

The complexity of condensed matter arises from emergent behaviors that cannot be understood by analyzing individual constituents in isolation. While traditional condensed-matter approaches-developed primarily for ideal crystalline…

材料科学 · 物理学 2025-09-30 Elisabetta Nocerino

Obtaining general relations between macroscopic properties of random assemblies, such as density, and the microscopic properties of their constituent particles, such as shape, is a foundational challenge in the study of amorphous materials.…

软凝聚态物质 · 物理学 2016-05-05 Yoav Kallus

We present a new numerical scheme to study systems of non-convex, irregular, and punctured particles in an efficient manner. We employ this method to analyze regular packings of odd-shaped bodies, not only from a nanoparticle but also both…

软凝聚态物质 · 物理学 2015-05-28 Joost de Graaf , René van Roij , Marjolein Dijkstra

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

One of the basic problems in discrete geometry is to determine the most efficient packing of congruent replicas of a given convex set $K$ in the plane or in space. The most commonly used measure of efficiency is density. Several types of…

度量几何 · 数学 2016-08-14 András Bezdek , Włodzimierz Kuperberg

Packings of hard polyhedra have been studied for centuries due to their mathematical aesthetic and more recently for their applications in fields such as nanoscience, granular and colloidal matter, and biology. In all these fields, particle…

软凝聚态物质 · 物理学 2014-03-10 Elizabeth R. Chen , Daphne Klotsa , Michael Engel , Pablo F. Damasceno , Sharon C. Glotzer

The nature of randomness in disordered packings of frictional and frictionless spheres is investigated using theory and simulations of identical spherical grains. The entropy of the packings is defined through the force and volume ensemble…

软凝聚态物质 · 物理学 2015-05-14 Christopher Briscoe , Chaoming Song , Ping Wang , Hernan A. Makse

The three dimensional structure of large packings of monosized spheres with volume fractions ranging between 0.58 and 0.64 has been studied with X-ray Computed Tomography. We search for signatures of organization, we classify local…

软凝聚态物质 · 物理学 2007-09-19 T. Aste , M. Saadatfar , T. J. Senden

Studies of random close packing of spheres have advanced our knowledge about the structure of systems such as liquids, glasses, emulsions, granular media, and amorphous solids. When these systems are confined their structural properties…

软凝聚态物质 · 物理学 2009-12-17 Kenneth W. Desmond , Eric R. Weeks
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