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Related papers: Generating ultradense jammed ellipse packings usin…

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We construct the densest known two-dimensional packings of superdisks in the plane whose shapes are defined by |x^(2p) + y^(2p)| <= 1, which contains both convex-shaped particles (p > 0.5, with the circular-disk case p = 1) and…

Soft Condensed Matter · Physics 2009-11-13 Y. Jiao , F. H. Stillinger , S. Torquato

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…

Soft Condensed Matter · Physics 2015-05-14 Christopher Briscoe , Chaoming Song , Ping Wang , Hernan A. Makse

We study the packing fraction of clusters in free-falling streams of spherical and irregularly shaped particles using flash X-ray radiography. The estimated packing fraction of clusters is low enough to correspond to coordination numbers…

Soft Condensed Matter · Physics 2021-03-31 Yuuya Nagaashi , Akiko M. Nakamura , Sunao Hasegawa , Koji Wada

We numerically investigate the mechanical properties of static packings of ellipsoidal particles in 2D and 3D over a range of aspect ratio and compression $\Delta \phi$. While amorphous packings of spherical particles at jamming onset…

Soft Condensed Matter · Physics 2015-06-03 Carl F. Schreck , Mitch Mailman , Bulbul Chakraborty , Corey S. O'Hern

The structure and spatial statistical properties of amorphous ellipsoid assemblies have profound scientific and industrial significance in many systems, from cell assays to granular materials. This paper uses a fundamental theoretical…

Soft Condensed Matter · Physics 2026-02-10 F. M. Schaller , H. Punzmann , G. E. Schröder-Turk , M. Saadatfar

Adiabatic invariants foliate phase space, and impart a macro-scale hierarchy by separating microscopic variables. On a macroscopic leaf, long-scale ordered structures are created while maximizing entropy. A plasma confined in a…

Plasma Physics · Physics 2014-10-14 Z. Yoshida , S. M. Mahajan

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…

Statistical Mechanics · Physics 2016-08-03 Steven Atkinson , Ge Zhang , Adam B. Hopkins , Salvatore Torquato

Due to significant computational expense, discrete element method simulations of jammed packings of size-dispersed spheres with size ratios greater than 1:10 have remained elusive, limiting the correspondence between simulations and…

We introduce a new method from number fields and codes to construct dense packings in the Euclidean spaces. Via the canonical $\mathbb{Q}$-embedding of arbitrary number field $K$ into $\mathbb{R}^{[K:\mathbb{Q}]}$, both the prime ideal…

Number Theory · Mathematics 2017-01-12 Shantian Cheng

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

Superellipse sector particles (SeSPs) are segments of superelliptical curves that form a tunable set of hard-particle shapes for granular and colloidal systems. SeSPs allow for continuous parameterization of corner sharpness, aspect ratio,…

Soft Condensed Matter · Physics 2022-10-17 John Colt , Lucas Nelson , Sykes Cargile , Ted Brzinski , Scott V. Franklin

This paper analyzes the compaction behavior of assemblies composed of soft (elastic) spherical particles beyond the jammed state, using three-dimensional non-smooth contact dynamic simulations. The assemblies of particles are characterized…

Soft Condensed Matter · Physics 2021-09-09 Manuel Cárdenas-Barrantes , David Cantor , Jonathan Barés , Mathieu Renouf , Emilien Azéma

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

We report on the critical properties of minimaly-polydisperse crystals, hexagonal in 2d and face-centered cubic in 3 dimensions, at the isostatic jamming point. The force and gap distributions display power-law tails for small values. The…

Soft Condensed Matter · Physics 2021-10-27 Georgios Tsekenis

We introduce a model for particles that are extremely polydisperse in size compared to monodisperse and bidisperse systems. In two dimensions (2D), size polydispersity inhibits crystallization and increases packing fraction at jamming…

Soft Condensed Matter · Physics 2025-12-10 Daisuke Shimamoto , Miho Yanagisawa

Frustration arises for a broad class of physical systems where confinement (geometric) or the presence of a perturbation (kinematic) prevents equilibration to a minimum energy state. By varying the diameter ratio and packing fraction in…

Soft Condensed Matter · Physics 2019-11-28 David J. Schunter, , Matthew Boucher , Douglas P. Holmes

Partitioning an image into superpixels based on the similarity of pixels with respect to features such as colour or spatial location can significantly reduce data complexity and improve subsequent image processing tasks. Initial algorithms…

Computer Vision and Pattern Recognition · Computer Science 2022-11-30 Jakob Geusen , Gustav Bredell , Tianfei Zhou , Ender Konukoglu

We investigate the vibrational properties of polycrystalline monodisperse and disordered bidisperse granular packings during jamming and unjamming using discrete element method simulations. Both systems deviate from Debye scaling at low…

Soft Condensed Matter · Physics 2025-06-23 Juan C. Petit , Saswati Ganguly , Matthias Sperl

Disordered assemblies with maximum packing fraction are studied by discrete element numerical simulation for monodisperse or bidisperse spherical particles, the diameter ratio being set at three. A maximum packing fraction value corresponds…

Materials Science · Physics 2009-01-23 Jean-Noël Roux , François Chevoir , Fabrice Toussaint

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…

Statistical Mechanics · Physics 2021-06-23 Michał Cieśla , Piotr Kubala , Konrad Kozubek