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Using computed x-ray tomography we determine the three dimensional (3d) structure of binary hard sphere mixtures as a function of composition and size ratio of the particles, q. Using a recently introduced four-point correlation function we…

Soft Condensed Matter · Physics 2023-02-15 Houfei Yuan , Zhen Zhang , Walter Kob , Yujie Wang

We have discovered that two significant quantities within hard particle systems: the probability of successfully inserting an additional particle at random and the scale distribution function, can be connected by a concise relation. We…

Soft Condensed Matter · Physics 2023-10-17 Yuheng Yang , Duanduan Wan

An ellipsoid, the simplest non-spherical shape, has been extensively used as models for elongated building blocks for a wide spectrum of molecular, colloidal and granular systems. Yet the densest packing of congruent hard ellipsoids, which…

Statistical Mechanics · Physics 2017-03-29 Weiwei Jin , Yang Jiao , Lufeng Liu , Ye Yuan , Shuixiang Li

We examine nanoparticles (NPs) forming polyhedral sections of the ideal cubic lattice, simple (sc), body centered (bcc), and face centered (fcc) cubic, which are confined by facets characterized by densest and second densest {h k l}…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Klaus E. Hermann

The band structure of a novel type of photonic crystal with superconducting constituent elements is calculated numerically via a plane wave expansion. The density of states and the dependence of the width of the photonic gap on the filling…

Superconductivity · Physics 2007-05-23 Oleg L. Berman , Yurii E. Lozovik , Sergey L. Eiderman , Rob D. Coalson

Particle size polydispersity can help to inhibit crystallization of the hard-sphere fluid into close-packed structures at high packing fractions and thus is often employed to create model glass-forming systems. Nonetheless, it is known that…

Soft Condensed Matter · Physics 2018-06-13 Beth A. Lindquist , Ryan B. Jadrich , Thomas M. Truskett

Natural materials often feature a combination of soft and stiff phases, arranged to achieve excellent mechanical properties, such as high strength and toughness. Many natural materials have even independently evolved to have similar…

Soft Condensed Matter · Physics 2025-07-03 Chelsea Fox , Kyrillos Bastawros , Tommaso Magrini , Chiara Daraio

In dense, static, polydisperse granular media under isotropic pressure, the probability density and the correlations of particle-wall contact forces are studied. Furthermore, the probability density functions of the populations of pressures…

Statistical Mechanics · Physics 2009-12-15 Stefan Luding , Micha-Klaus Mueller , Thorsten Poeschel

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.…

Soft Condensed Matter · Physics 2015-10-21 Leah K. Roth , Heinrich M. Jaeger

We investigate the emergence of rigid polycrystalline structures from atomistic particle systems. The atomic interaction is governed by a suitably normalized pair interaction energy, where the `sticky disk' interaction potential models the…

Statistical Mechanics · Physics 2021-03-31 Manuel Friedrich , Leonard Kreutz , Bernd Schmidt

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…

Soft Condensed Matter · Physics 2015-01-13 Kenneth W. Desmond , Eric R. Weeks

Two typical morphology of two-dimensional aggregates are considered: compact crystalline clusters and string-like non-compact conformations. Simulated trajectories of both types of aggregates are analysed with fine spatial resolution. While…

Soft Condensed Matter · Physics 2023-05-23 Tamoghna Das

Observations made in dusty plasma experiments suggest that an ensemble of electrically charged solid particles, confined in an elongated trap, develops structural inhomogeneities. With narrowing the trap the particles tend to form layers…

Plasma Physics · Physics 2021-01-25 Hong Pan , Gabor J. Kalman , Peter Hartmann

Using molecular dynamics simulations, we investigate the crystallization pathways of two exemplary systems that form the same complex crystal structure but differ fundamentally in the nature of their particle interactions. One system is…

Soft Condensed Matter · Physics 2026-04-07 Charlotte Shiqi Zhao , Domagoj Fijan , Sharon C. Glotzer

Diffusion-limited aggregation (DLA) assumes that particles perform pure random walk at a finite temperature and aggregate when they come close enough and stick together. Although it is well known that DLA in two dimensions results in a…

Statistical Mechanics · Physics 2013-09-02 Li Deng , Yanting Wang , Zhong-Can Ou-Yang

We determine the quantitative effect, in the maximum number of particles and other static observables, due to small anharmonic terms added to the confining potential of an atomic condensed system with negative two-body interaction. As an…

Soft Condensed Matter · Physics 2009-11-07 Victo S. Filho , Arnaldo Gammal , Lauro Tomio

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…

Metric Geometry · Mathematics 2016-08-14 András Bezdek , Włodzimierz Kuperberg

We prove that the highest density of non-overlapping translates of a given centrally symmetric convex domain relative to its outer parallel domain of given outer radius is attained by a lattice packing in the Euclidean plane. This…

Metric Geometry · Mathematics 2025-12-30 Károly Bezdek , Zsolt Lángi

Dense packing of particles has provided important models to study the structure of matter in various systems such as liquid, glassy and crystalline phase, etc. The simplest sphere packing models are able to represent and capture salient…

Soft Condensed Matter · Physics 2023-03-03 Weihao Wang , Zhenghong Chen , Yang Gao , Yang Jiao , Shaodong Zhang

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…

Soft Condensed Matter · Physics 2015-05-27 B. A. Klumov , S. A. Khrapak , G. E. Morfill