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Athermal packings of soft repulsive spheres exhibit a sharp jamming transition in the thermodynamic limit. Upon further compression, various structural and mechanical properties display clean power-law behavior over many decades in…

Soft Condensed Matter · Physics 2015-01-05 Carl P. Goodrich , Simon Dagois-Bohy , Brian P. Tighe , Martin van Hecke , Andrea J. Liu , Sidney R. Nagel

An infinite hierarchy of layering transitions exists for model polymers in solution under poor solvent or low temperatures and near an attractive surface. A flat histogram stochastic growth algorithm known as FlatPERM has been used on a…

Statistical Mechanics · Physics 2009-11-10 J. Krawczyk , A. L. Owczarek , T. Prellberg , A. Rechnitzer

We consider growing spheres seeded by random injection in time and space. Growth stops when two spheres meet leading eventually to a jammed state. We study the statistics of growth limited by packing theoretically in d dimensions and via…

Soft Condensed Matter · Physics 2007-05-23 Peter Sheridan Dodds , Joshua S. Weitz

For $d\in\mathbb{N}$, a compact sphere packing of Euclidean space $\mathbb{R}^{d}$ is a set of spheres in $\mathbb{R}^{d}$ with disjoint interiors so that the contact hypergraph of the packing is the vertex scheme of a homogeneous…

Metric Geometry · Mathematics 2023-12-22 Eder Kikianty , Miek Messerschmidt

The study on the relationship between the spheres and voids in packing system suggests that the edge effect at the interface between the container and the particles is an important factor lowering the packing ratio. To pack spheres in a…

Statistical Mechanics · Physics 2015-03-13 Honghai Liu , Enyong Jiang , Chang Q. Sun , Bruce Z. Gao

We study the phase behavior of a classical system of particles interacting through a strictly convex soft-repulsive potential which, at variance with the pairwise softened repulsions considered so far in the literature, lacks a region of…

Soft Condensed Matter · Physics 2009-09-17 Franz Saija , Santi Prestipino , Gianpietro Malescio

In this work we use Monte Carlo simulations to study the phase behavior of spherical caps confined between two parallel hard walls separated by a distance H. The particle model consists of a hard sphere of diameter \sigma cut off by a plane…

Soft Condensed Matter · Physics 2013-04-03 Carlos Avendano , Chekesha M. Liddell Watson , Fernando A. Escobedo

We study closed dense collections of hard spheres that collide inelastically with constant coefficient of normal restitution. We find inhomogeneous states (IS) where the density profile is spatially non-uniform but constant in time. The…

Chaotic Dynamics · Physics 2014-02-19 Itzhak Fouxon

We study theoretically and numerically how hard frictionless particles in random packings can rearrange. We demonstrate the existence of two distinct unstable non-linear modes of rearrangement, both associated with the opening and the…

Soft Condensed Matter · Physics 2014-11-19 Edan Lerner , Gustavo Düring , Matthieu Wyart

Hyperuniform many-particle distributions possess a local number variance that grows more slowly than the volume of an observation window, implying that the local density is effectively homogeneous beyond a few characteristic length scales.…

Statistical Mechanics · Physics 2015-05-27 Chase E. Zachary , Yang Jiao , Salvatore Torquato

We introduce a model system of anisotropic colloidal `rocks'. Due to their shape, the bonding introduced via non-absorbing polymers is profoundly different from spherical particles: bonds between rocks are rigid against rotation, leading to…

Soft Condensed Matter · Physics 2017-12-27 Rebecca Rice , Roland Roth , C. Patrick Royall

The standard model of classical Density Functional Theory for pair potentials consists of a hard-sphere functional plus a mean-field term accounting for long ranged attraction. However, most implementations using sophisticated Fundamental…

Computational Physics · Physics 2021-01-04 James F. Lutsko , Cédric Schoonen

Polydisperse mixtures are those in which components with a whole range of sizes are present. It is shown that the fluid phase of polydisperse hard spheres is thermodynamically unstable unless the density of large spheres decreases at least…

Soft Condensed Matter · Physics 2009-10-31 Richard P. Sear

We report a detailed simulation study of the phase behavior of core softened system with attractive well. Different repulsive shoulder widthes and attractive well depthes are considered which allows to monitor the influence of repulsive and…

Soft Condensed Matter · Physics 2015-05-19 Yu. D. Fomin , V. N. Ryzhov , E. N. Tsiok

Although jammed packings of soft spheres exist in potential energy landscapes with a vast number of minima, when subjected to cyclic shear they may revisit the same configurations repeatedly. Simple hysteretic spin models, in which particle…

Soft Condensed Matter · Physics 2025-04-04 Chloe W. Lindeman , Sidney R. Nagel

The collision dynamics of hard spheres and cylindrical pores is solved exactly, which is the minimal model for a regularly porous membrane. Nonequilibrium event-driven molecular dynamics simulations are used to show that the permeability…

Soft Condensed Matter · Physics 2021-04-23 Yue Yu , Kai Zhang

By means of contact dynamics simulations, we investigate a dense packing composed of polyhedral particles under quasistatic shearing. The effect of particle shape is analyzed by comparing the polyhedra packing with a packing of similar…

Classical Physics · Physics 2011-07-12 Émilien Azema , F. RadjaÏ , G. Saussine

Reversible diffusion limited cluster aggregation of hard spheres with rigid bonds was simulated and the self diffusion coefficient was determined for equilibrated systems. The effect of increasing attraction strength was determined for…

Soft Condensed Matter · Physics 2009-11-13 Sujin Babu , Jean Christophe Gimel , Taco Nicolai

The shape of biological shells, such as cell nuclei, membranes, and vesicles, often deviates from a perfect sphere due to an interplay of complex interactions with a myriad of molecular structures. In particular, semiflexible biopolymers…

Soft Condensed Matter · Physics 2025-09-05 Hadiya Abdul Hameed , Jaroslaw Paturej , Aykut Erbas

The phase diagram of soft spheres with size dispersion has been studied by means of an optimized Monte Carlo algorithm which allows to equilibrate below the kinetic glass transition for all sizes distribution. The system ubiquitously…

Soft Condensed Matter · Physics 2007-05-23 L. A. Fernandez , V. Martin-Mayor , P. Verrocchio
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