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The most efficient way to pack equally sized spheres isotropically in 3D is known as the random close packed state, which provides a starting point for many approximations in physics and engineering. However, the particle size distribution…

软凝聚态物质 · 物理学 2010-01-05 Robert S. Farr , Robert D. Groot

We develop a model to describe the properties of random assemblies of polydisperse hard spheres. We show that the key features to describe the system are (i) the dependence between the free volume of a sphere and the various coordination…

无序系统与神经网络 · 物理学 2015-05-19 Maximilien Danisch , Yuliang Jin , Hernan A. Makse

Finding the optimal random packing of non-spherical particles is an open problem with great significance in a broad range of scientific and engineering fields. So far, this search has been performed only empirically on a case-by-case basis,…

软凝聚态物质 · 物理学 2013-08-06 Adrian Baule , Romain Mari , Lin Bo , Louis Portal , Hernan 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

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

The densest amorphous packing of rigid particles is known as random close packing. It has long been appreciated that higher densities are achieved by using collections of particles with a variety of sizes. The variety of sizes is often…

软凝聚态物质 · 物理学 2015-01-13 Kenneth W. Desmond , Eric R. Weeks

Saturated random packing of particles built of two identical, relatively shifted spheres in two and three dimensional flat and homogeneous space was studied numerically using random sequential adsorption algorithm. The shift between centers…

材料科学 · 物理学 2015-06-19 Michał Cieśla

A collection of spherical particles can be packed tightly together into an amorphous packing known as "random close packing" (RCP). This structure is of interest as a model for the arrangement of molecules in simple liquids and glasses, as…

软凝聚态物质 · 物理学 2015-03-13 Rei Kurita , Eric R Weeks

Random packing of unoriented regular polygons and star polygons on a two-dimensional flat, continuous surface is studied numerically using random sequential adsorption algorithm. Obtained results are analyzed to determine saturated random…

统计力学 · 物理学 2016-03-27 Michał Cieśla , Jakub Barbasz

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

Questions surrounding the spatial disposition of particles in various condensed-matter systems continue to pose many theoretical challenges. This paper explores the geometric availability of amorphous many-particle configurations that…

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

The random sequential adsorption of various particle shapes is studied in order to determine the influence of particle anisotropy on the saturated random packing. For all tested particles there is an optimal level of anisotropy which…

材料科学 · 物理学 2015-10-28 Michał Cieśla , Grzegorz Pająk , Robert M. Ziff

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

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

What particle shape will generate the highest packing fraction when randomly poured into a container? In order to explore and navigate the enormous search space efficiently, we pair molecular dynamics simulations with artificial evolution.…

软凝聚态物质 · 物理学 2015-10-21 Leah K. Roth , Heinrich M. Jaeger

We provide a two dimensional deformation model to describe how soft squishy circular particles respond to external forces and collisions. This model involves formulating mathematical equations and algorithms for the shape of a deformed…

软凝聚态物质 · 物理学 2024-08-28 Roshan Maharana

Assemblies of anisotropic particles commonly appear in studies of active many-body systems. However, in two dimensions, the geometric ramifications of the finite density of such objects are not entirely understood. To fully characterize…

Despite many advantages associated with the use of spherical particles, in practice, non-spherical particles are the main ingredient in sintering-based processing techniques, like selective-laser-sintering, where their shape and surface…

软凝聚态物质 · 物理学 2019-12-12 Amirmehdi Salehi , Gholamreza Pircheraghi

We present the algorithm for generating strictly saturated random sequential adsorption packings built of rounded polygons. It can be used to study various properties of such packings built of a wide variety of different shapes and in…

统计力学 · 物理学 2021-06-23 Michał Cieśla , Piotr Kubala , Konrad Kozubek

Sphere packings are essential to the development of physical models for powders, composite materials, and the atomic structure of the liquid state. There is a strong scientific need to be able to assess the fit of packing models to data,…

统计方法学 · 统计学 2009-10-31 Jeffrey Picka
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