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Related papers: Diverse densest ternary sphere packings

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We study the optimal packing of hard spheres in an infinitely long cylinder, using simulated annealing, and compare our results with the analogous problem of packing disks on the unrolled surface of a cylinder. The densest structures are…

Soft Condensed Matter · Physics 2015-06-04 A. Mughal , H. K. Chan , D. Weaire , S. Hutzler

Exploratory synthesis in novel chemical spaces is the essence of solid-state chemistry. However, uncharted chemical spaces can be difficult to navigate, especially when materials synthesis is challenging. Nitrides represent one such space,…

Connecting the collective behavior of disordered systems with local structure on the particle scale is an important challenge, for example in granular and glassy systems. Compounding complexity, in many scientific and industrial…

Soft Condensed Matter · Physics 2016-11-21 Fabian M. Schaller , Robert F. B. Weigel , Sebastian C. Kapfer

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…

Statistical Mechanics · Physics 2015-05-14 Y. Jiao , F. H. Stillinger , S. Torquato

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…

Soft Condensed Matter · Physics 2016-05-23 Miranda C. Holmes-Cerfon

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

The densest local packing (DLP) problem in d-dimensional Euclidean space Rd involves the placement of N nonoverlapping spheres of unit diameter near an additional fixed unit-diameter sphere such that the greatest distance from the center of…

Statistical Mechanics · Physics 2015-05-18 A. B. Hopkins , F. H. Stillinger , S. Torquato

Recent numerical analyses to optimize the design of microfluidic devices for more effective entrapment or segregation of surrogate circulating tumor cells (CTCs) from healthy cells have been reported in the literature without concurrently…

Computational Physics · Physics 2020-06-23 Hakan Başağaoğlu , Justin Blount , Sauro Succi , Christopher J. Freitas

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,…

Statistical Mechanics · Physics 2009-11-13 Antonio Trovato , Trinh X. Hoang , Jayanth R. Banavar , Amos Maritan

Particle packing problems have fascinated people since the dawn of civilization, and continue to intrigue mathematicians and scientists. Resurgent interest has been spurred by the recent proof of Kepler's conjecture: the face-centered cubic…

Statistical Mechanics · Physics 2010-01-05 Aleksandar Donev , Frank H. Stillinger , P. M. Chaikin , Salvatore Torquato

Electronic-structure theory is a strong pillar of materials science. Many different computer codes that employ different approaches are used by the community to solve various scientific problems. Still, the precision of different packages…

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…

Disordered Systems and Neural Networks · Physics 2015-03-13 Giorgio Parisi , Francesco Zamponi

The random packing fraction of binary particles in D-dimensional Euclidean space R^D is studied using a geometric approach. First, the binary packing fraction of assemblies with small size difference are studied, using the excluded volume…

Soft Condensed Matter · Physics 2025-08-13 H. J. H. Brouwers

The topological structure resulting from the network of contacts between grains (contact network) is studied for very large samples of disorderly-packed monosized spheres with densities ranging from 0.58 to 0.64. The hierarchical…

Soft Condensed Matter · Physics 2007-09-19 T. Aste , T. J. Senden

Crystal structure prediction (CSP) stands as a powerful tool in materials science, driving the discovery and design of innovative materials. However, existing CSP methods heavily rely on formation enthalpies derived from density functional…

Materials Science · Physics 2025-07-16 Chenglong Qin , Jinde Liu , Shiyin Ma , Jiguang Du , Gang Jiang , Liang Zhao

We study more than $10^4$ random aggregates of $10^6$ monodisperse sticky hard spheres each, generated by various static algorithms. Their packing fraction varies from 0.370 up to 0.593. These aggregates are shown to be based on two types…

Disordered Systems and Neural Networks · Physics 2019-09-30 M. Blétry , V. Russier , E. Barbé , J. Blétry

Dense packings of nonoverlapping bodies in three-dimensional Euclidean space are useful models of the structure of a variety of many-particle systems that arise in the physical and biological sciences. Here we investigate the packing…

Statistical Mechanics · Physics 2014-02-28 Ruggero Gabbrielli , Yang Jiao , Salvatore Torquato

It is commonly believed that the most efficient way to pack a finite number of equal-sized spheres is by arranging them tightly in a cluster. However, mathematicians have conjectured that a linear arrangement may actually result in the…

We consider hard-disc mixtures with disc sizes within ratio $\sqrt{2}-1$, that is, the small disc exactly fits in the hole between four large discs. For each prescribed stoichiometry of large and small discs, the densest packings are…

Discrete Mathematics · Computer Science 2022-01-21 Thomas Fernique

Context. This work is part of a long-term spectroscopic study of a sample of 30 multiple stars with early-type components. In this second paper we present the results of six multiple systems in which new stellar components have been…

Solar and Stellar Astrophysics · Physics 2014-09-05 M. E. Veramendi , J. F. González