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In this paper, we perform molecular dynamics (MD) simulations to study the random packing of spheres with different particle size distributions. In particular, we deal with non-Gaussian distributions by means of the L\'evy distributions.…

Computational Physics · Physics 2019-08-15 Carlos Handrey Araujo Ferraz

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…

Soft Condensed Matter · Physics 2009-12-17 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…

Materials Science · Physics 2015-06-19 Michał Cieśla

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…

Soft Condensed Matter · Physics 2022-05-09 Charles Emmett Maher , Frank H. Stillinger , Salvatore Torquato

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.…

Soft Condensed Matter · Physics 2016-05-05 Yoav Kallus

Motivated by a recently identified severe discrepancy between a static and a dynamic theory of glasses, we numerically investigate the behavior of dense hard spheres in spatial dimensions 3 to 12. Our results are consistent with the static…

Disordered Systems and Neural Networks · Physics 2011-10-28 Patrick Charbonneau , Atsushi Ikeda , Giorgio Parisi , Francesco Zamponi

Although the concept of random close packing with an almost universal packing fraction of ~ 0.64 for hard spheres was introduced more than half a century ago, there are still ongoing debates. The main difficulty in searching the densest…

Soft Condensed Matter · Physics 2013-10-28 Ran Ni , Martien A. Cohen Stuart , Marjolein Dijkstra

Random packings of stiff rods are self-supporting mechanical structures stabilized by long range interactions induced by contacts. To understand the geometrical and topological complexity of the packings, we first deploy X-ray computerized…

Soft Condensed Matter · Physics 2024-09-24 Yeonsu Jung , Thomas Plumb-Reyes , Hao-Yu Greg Lin , L. Mahadevan

Random packing of spheres inside fractal collectors of dimension 2 < d < 3 is studied numerically using Random Sequential Adsorption (RSA) algorithm. The paper focuses mainly on the measurement of random packing saturation limit.…

Materials Science · Physics 2013-10-17 Michał Cieśla , Jakub Barbasz

Unraveling the complexities of random packing in three dimensions has long puzzled physicists. While both experiments and simulations consistently show a maximum density of 64 percent for tightly packed random spheres, we still lack an…

Soft Condensed Matter · Physics 2023-05-12 Chaoming Song

Through extensive Monte Carlo simulations, we systematically study the effect of chain stiffness on the packing ability of linear polymers composed of hard spheres in extremely confined monolayers, corresponding effectively to 2D films.…

We show that an analogy between crowding in fluid and jammed phases of hard spheres captures the density dependence of the kissing number for a family of numerically generated jammed states. We extend this analogy to jams of mixtures of…

We investigate the random close packing density, $\phi_\textrm{RCP}$, of polydisperse hard sphere systems using a theoretical framework based on the equilibrium model of crowding. We derive a closed-form solution for $\phi_\textrm{RCP}$ in…

Soft Condensed Matter · Physics 2026-05-29 Vinay Vaibhav , Carmine Anzivino , Alessio Zaccone

We investigate equal spheres packings generated from several experiments and from a large number of different numerical simulations. The structural organization of these disordered packings is studied in terms of the network of common…

Statistical Mechanics · Physics 2008-06-26 T. Aste , T. Di Matteo

Motivated by recent nanofluidics experiments, we use Brownian dynamics and Monte Carlo simulations to study the conformation, organization and dynamics of two polymer chains confined to a single box-like cavity. The polymers are modeled as…

Soft Condensed Matter · Physics 2021-05-19 James M. Polson , Desiree A. Rehel

The paper concerns lattice triangulations, that is, triangulations of the integer points in a polygon in $\mathbb{R}^2$ whose vertices are also integer points. Lattice triangulations have been studied extensively both as geometric objects…

Probability · Mathematics 2015-06-03 Pietro Caputo , Fabio Martinelli , Alistair Sinclair , Alexandre Stauffer

Studies on random packing of bidispersive particles have shown that such systems can capture the underlying behavior of more complex phenomena found in physics and materials engineering. In industry, bidispersive particles are used to allow…

Statistical Mechanics · Physics 2020-10-22 Carlos Handrey Araujo Ferraz

The behavior of a system of two-dimensional elongated particles (discorectangles) packed into a slit between two parallel walls was analyzed using a simulation approach. The packings were produced using the random sequential adsorption…

Soft Condensed Matter · Physics 2021-12-09 Nikolai I. Lebovka , Mykhailo O. Tatochenko , Nikolai V. Vygornitskii , Yuri Yu. Tarasevich

In this paper, we perform molecular dynamics (MD) simulations to study the two-dimensional packing process of both monosized and random size particles with radii ranging from $1.0 \, \mu m$ to $7.0 \, \mu m$. The system was allowed to…

Soft Condensed Matter · Physics 2017-12-01 Carlos Handrey Araujo Ferraz , Samuel Apolinário Marques

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
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