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Related papers: Packing and percolation of poly-disperse discs and…

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The close packing density of log-normal and bimodal distributed, surface-adsorbed particles or discs in 2D is studied by numerical simulation. For small spread in particle size, the system orders in a polycrystalline structure of hexagonal…

Soft Condensed Matter · Physics 2012-01-27 Robert D. Groot , Simeon D. Stoyanov

We study packings of bidispersed spherical particles on a spherical surface. The presence of curvature necessitates defects even for monodispersed particles; bidispersity either leads to a more disordered packing for nearly equal radii, or…

Soft Condensed Matter · Physics 2016-08-03 Andrew M. Mascioli , Christopher J. Burke , Timothy J. Atherton

Monodisperse circular disks have been collectively packed in confined geometries using a Monte Carlo method where the compaction is propelled by two- dimensional stochastic agitation. We have found that confinement (i.e., finite-size plus…

Mesoscale and Nanoscale Physics · Physics 2012-02-01 Bjoern Arnold , Ayse Turak , Alejandro Diaz Ortiz

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

In this paper, the binary random packing fraction of similar particles with size ratios ranging from unity to well over 2 is studied. The classic excluded volume model for spherocylinders and cylinders proposed by Onsager [1] is revisited…

Other Condensed Matter · Physics 2024-06-28 H. J. H. Brouwers

Connectedness percolation phenomena in the two-dimensional (2D) packing of binary mixtures of disks with different diameters were studied numerically. The packings were produced using random sequential adsorption (RSA) model with…

Soft Condensed Matter · Physics 2024-04-02 N. I. Lebovka , M. R. Petryk , N. V. Vygornitskii

This study focused on the expansion in polydisperse granular materials owing to mechanical annealing, which involved compression and decompression. Following minor annealing, the polydisperse systems exhibited compaction as well as the…

Soft Condensed Matter · Physics 2024-09-04 Daisuke S. Shimamoto , Miho Yanagisawa

Predicting theoretically the highest density, which a disordered packing of discs can achieve, has been a long-standing unresolved problem. Such predictions are hindered by two difficulties - the dependence of the density on the packing…

Soft Condensed Matter · Physics 2026-05-26 Raphael Blumenfeld

Every realistic instance of a percolation problem is faced with some degree of polydispersity, e.g., the pore-size distribution of an inhomogeneous medium, the size distribution of filler particles in composite materials, or the vertex…

Statistical Mechanics · Physics 2025-06-16 Fabian Coupette , Tanja Schilling

Previous studies have suggested a conundrum in the relaxation dynamics of polydisperse supercooled liquids. It has been shown that in two dimensions, the relative relaxation times of particles of different sizes become more similar as the…

Soft Condensed Matter · Physics 2025-03-06 Ilian Pihlajamaa , Lotte van Gessel , Corentin Laudicina , Luc van Burik , Liesbeth Janssen

When polydisperse granular systems are sheared, the transverse dynamics is characterized by the interplay of size segregation and diffusion. Segregation in nonuniform and confined shearing flows is studied using annular shear cell…

Other Condensed Matter · Physics 2026-01-29 Santiago Caro , Riccardo Artoni , Patrick Richard , Michele Larcher , James T. Jenkins

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…

Soft Condensed Matter · Physics 2010-01-05 Robert S. Farr , Robert D. Groot

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

Three-dimensional discrete numerical simulation is used to investigate the properties of close-packed frictionless granular assemblies as a function of particle polydispersity and shape. Unlike some experimental results, simulations show…

Soft Condensed Matter · Physics 2017-07-20 Jean-François Camenen , Yannick Descantes

We report a Monte Carlo simulation study of the properties of highly asymmetric binary hard sphere mixtures. This system is treated within an effective fluid approximation in which the large particles interact through a depletion potential…

Statistical Mechanics · Physics 2009-11-11 Julio Largo , Nigel B. Wilding

We investigate next nearest neighbor correlations of the contact number in simulations of polydisperse, frictionless packings in two dimensions. We find that discs with few contacting neighbors are predominantly in contact with discs that…

Soft Condensed Matter · Physics 2015-05-28 C. B. O'Donovan , M. E. Möbius

Soft glassy materials often consist of deformable objects. Here, we use a two-dimensional assembly of semi-flexible ring polymers as a model system to investigate how polydispersity in particle stiffness or size influences the onset of…

Soft Condensed Matter · Physics 2025-09-25 Rahul Nayak , Pinaki Chaudhuri , Satyavani Vemparala

The topological structure resulting from the network of contacts between grains (\emph{contact network}) is studied for large samples of monosized spheres with densities (fraction of volume occupied by the spheres) ranging from 0.59 to…

Disordered Systems and Neural Networks · Physics 2007-09-21 T. Aste , M. Saadatfar , T. J. Senden

We investigate the existence of random close and random loose packing limits in two-dimensional packings of monodisperse hard disks. A statistical mechanics approach-- based on several approximations to predict the probability distribution…

Soft Condensed Matter · Physics 2010-11-18 Sam Meyer , Chaoming Song , Yuliang Jin , Kun Wang , Hernán A. Makse

We revisit the effect of polydispersity on the crystal nucleation of hard spheres. Using event-driven molecular dynamics simulations, we obtain the nucleation rate as a function of the supersaturation for a range of polydispersities, and…

Soft Condensed Matter · Physics 2025-12-24 Marjolein de Jager , Antoine Castagnède , Frank Smallenburg , Laura Filion
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