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Many materials containing colloids or polymers are polydisperse: They comprise particles with properties (such as particle diameter, charge, or polymer chain length) that depend continuously on one or several parameters. This review…

Soft Condensed Matter · Physics 2007-05-23 Peter Sollich

Jammed (mechanically rigid) polydisperse circular-disk packings in two dimensions (2D) are popular models for structural glass formers. Maximally random jammed (MRJ) states, which are the most disordered packings subject to strict jamming,…

Soft Condensed Matter · Physics 2024-12-17 Charles Emmett Maher , Salvatore Torquato

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

Jammed disordered packings of non-spherical particles show significant variation in the packing density as a function of particle shape for a given packing protocol. Rotationally symmetric elongated shapes such as ellipsoids,…

Soft Condensed Matter · Physics 2021-11-08 Esma Kurban , Adrian Baule

A new tetrahedral structure model was developed and the geometrical structure of jammed disordered packings of monodisperse spheres with different friction coefficients was systematically characterized. An intrinsic structure feature is…

Soft Condensed Matter · Physics 2020-10-06 S. Q. Jiang , M. Z. Li

We create collectively jammed (CJ) packings of 50-50 bidisperse mixtures of smooth disks in 2d using an algorithm in which we successively compress or expand soft particles and minimize the total energy at each step until the particles are…

Statistical Mechanics · Physics 2009-11-11 Ning Xu , Jerzy Blawzdziewicz , Corey S. O'Hern

We use a recently developed lattice model to study the percolation of particles of different sizes and shapes in the presence of a polymer matrix. The polymer is modeled as an infinitely long semiflexible chain. We study the effects of the…

Soft Condensed Matter · Physics 2015-06-25 Andrea Corsi , P. D. Gujrati

By generalizing a geometric argument for frictionless spheres, a model is proposed for the jamming density $\phi_J$ of mechanically stable packings of bidisperse, frictional spheres. The monodisperse, $\mu_s$-dependent jamming density…

A recent proposal in which the equation of state of a polydisperse hard-sphere mixture is mapped onto that of the one-component fluid is extrapolated beyond the freezing point to estimate the jamming packing fraction $\phi_\text{J}$ of the…

Statistical Mechanics · Physics 2014-05-01 Andrés Santos , Santos B. Yuste , Mariano López de Haro , Gerardo Odriozola , Vitaliy Ogarko

The pressure and the viscosity in two-dimensional sheared granular assemblies are investigated numerically. The behavior of both pressure and viscosity is smoothly changing qualitatively when starting from a mono-disperse hard-disk system…

Statistical Mechanics · Physics 2010-07-20 Michio Otsuki , Hisao Hayakawa , Stefan Luding

We use a new version of the reversible Parking Lot Model to study the compaction of vibrated polydisperse media. The particle sizes are distributed according to a truncated power law. We introduce a self-consistent desorption mechanism with…

Disordered Systems and Neural Networks · Physics 2009-11-10 Martin Wackenhut , Hans Herrmann

Droplet patterns condensing on solid substrates (breath figures) tend to evolve into a self-similar regime, characterized by a bimodal droplet size distribution. The distributions comprise a bell-shaped peak of monodisperse large droplets,…

Fluid Dynamics · Physics 2015-10-28 L. Stricker , J. Vollmer

We studied the geometrical and topological rules underlying the dispositions and the size distribution of non-overlapping, polydisperse circle-packings. We found that the size distribution of circles that densely cover a plane follows the…

Materials Science · Physics 2009-10-30 Tomaso Aste

We present numerical evidence for an additional discontinuous transition inside the jammed regime for an asymmetric bidisperse granular packing upon compression. This additional transition line separates jammed states with networks of…

Soft Condensed Matter · Physics 2020-11-25 Juan C. Petit , Nishant Kumar , Stefan Luding , Matthias Sperl

As a first step to understanding the role of molecular or chemical polydispersity in self-assembly, we put forward a coarse-grained model that describes the spontaneous formation of quasi-linear polymers in solutions containing two…

Soft Condensed Matter · Physics 2015-05-19 Sara Jabbari-Farouji , Paul van der Schoot

As a first step to understanding the role of molecular or chemical polydispersity in self-assembly, we put forward a coarse-grained model that describes the spontaneous formation of quasi-linear polymers in solutions containing two…

Soft Condensed Matter · Physics 2015-06-03 Sara Jabbari-Farouji , Paul van der Schoot

We present a generalization of the granocentric model proposed in [Clusel et al., Nature, 2009, 460, 611615] that is capable of describing the local fluctuations inside not only polydisperse but also monodisperse packings of spheres. This…

Biological Physics · Physics 2012-02-07 Katherine A. Newhall , Ivane Jorjadze , Eric Vanden-Eijnden , Jasna Brujic

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

We perform computational studies of static packings of a variety of nonspherical particles including circulo-lines, circulo-polygons, ellipses, asymmetric dimers, and dumbbells to determine which shapes form hypostatic versus isostatic…

Soft Condensed Matter · Physics 2018-01-24 Kyle VanderWerf , Weiwei Jin , Mark D. Shattuck , Corey S. O'Hern

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
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