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A model for cooperative sequential adsorption that incorporates nearest-neighbor exclusion and next-nearest neighbor interaction is presented. It is analyzed for the case of one-dimensional dimer and two-dimensional monomer adsorption.…

Statistical Mechanics · Physics 2009-05-25 C. J. Neugebauer , S. N. Taraskin

O'Hern, Silbert, Liu and Nagel [Phys. Rev. E. 68, 011306 (2003)] (OSLN) claim that a special point $J$ of a "jamming phase diagram" (in density, temperature, stress space) is related to random close packing of hard spheres, and that it…

Materials Science · Physics 2009-11-11 A. Donev , S. Torquato , F. H. Stillinger , R. Connelly

A region of two-dimensional space has been filled randomly with large number of growing circular discs allowing only a `slight' overlapping among them just before their growth stop. More specifically, each disc grows from a nucleation…

Disordered Systems and Neural Networks · Physics 2014-03-11 Abhijit Chakraborty , S. S. Manna

When gas molecules bind to a surface they may do so in such a way that the adsorption of one molecule inhibits the arrival of others. We consider random sequential adsorption in which the empty sites of a graph are irreversibly occupied in…

Probability · Mathematics 2009-09-29 Aidan Sudbury

Selective adsorption in a two-dimensional model of a binary hard-disk mixture on patterned adhesive surfaces is studied using grand canonical Monte Carlo simulations. The two species have equal diameters and equal bulk chemical potentials,…

Soft Condensed Matter · Physics 2026-05-21 Nazar Kukarkin , Taras Patsahan

We present a jamming diagram for 2D bidisperse granular systems, capturing two distinct jamming transitions. The first occurs as large particles form a jammed structure, while the second, emerging at a critical small-particle concentration,…

Soft Condensed Matter · Physics 2025-05-20 Juan C. Petit , Matthias Sperl

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 computationally study jammed disordered hard-sphere packings as large as a million particles. We show that the packings are saturated and hyperuniform, i.e., that local density fluctuations grow only as a logarithmically-augmented…

Statistical Mechanics · Physics 2009-11-11 A. Donev , F. H. Stillinger , S. Torquato

The influence of different boundary conditions on the density of random packings of disks is studied. Packings are generated using the random sequential adsorption algorithm with three different types of boundary conditions: periodic, open,…

Statistical Mechanics · Physics 2018-04-26 Michał Cieśla , Robert M. Ziff

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

Random packings and their properties are a popular and active field of research. Numerical algorithms that can efficiently generate them are useful tools in their study. This paper focuses on random packings produced according to the random…

Computational Physics · Physics 2019-12-25 Michał Cieśla , Piotr Kubala , Ge Zhang

In the presence of attraction, the jamming transition of packings of frictionless particles corresponds to the rigidity percolation. When the range of attraction is long, the distribution of the size of rigid clusters, $P(s)$, is continuous…

Soft Condensed Matter · Physics 2021-01-26 Yuchuan Wang , Sheng Fang , Ning Xu , Youjin Deng

Connectedness percolation phenomena in two-dimensional packings of elongated particles (discorectangles) were studied numerically. The packings were produced using random sequential adsorption (RSA) off-lattice model with preferential…

We track the motion of a horizontally vibrated amorphous assembly of bidisperse hard disks, for densities ranging across the jamming transition. We derive on very general grounds a bound on the dynamical susceptibility in terms of the…

Soft Condensed Matter · Physics 2008-08-26 F. Lechenault , O. Dauchot , G. Biroli , J. P. Bouchaud

Random sequential adsorption (RSA) of various two dimensional objects is studied in order to find a shape which maximizes the saturated packing fraction. This investigation was begun in our previous paper [Cie\'sla et al., Phys. Chem. Chem.…

Materials Science · Physics 2016-08-02 Michał Cieśla , Grzegorz Pająk , Robert M. Ziff

We numerically study the jamming transition of frictionless polydisperse spheres in three dimensions. We use an efficient thermalisation algorithm for the equilibrium hard sphere fluid and generate amorphous jammed packings over a range of…

Statistical Mechanics · Physics 2017-10-16 Misaki Ozawa , Ludovic Berthier , Daniele Coslovich

Irreversible adsorption of spheres on flat collectors having dimension $d<2$ is studied. Molecules are adsorbed on Sierpinski's Triangle and Carpet like fractals ($1<d<2$), and on General Cantor Set ($d<1$). Adsorption process is modeled…

Materials Science · Physics 2012-08-02 Michal Ciesla , Jakub Barbasz

We present the first study of disordered jammed hard-sphere packings in four-, five- and six-dimensional Euclidean spaces. Using a collision-driven packing generation algorithm, we obtain the first estimates for the packing fractions of the…

Statistical Mechanics · Physics 2009-11-11 M. Skoge , A. Donev , F. H. Stillinger , S. Torquato

We derive expressions for the critical density for jamming in a hyper-rhomboid system of arbitrary shape in any dimension for the Kob-Andersen and Fredrickson-Andersen kinetically-constrained models. We find that changing the system's shape…

Statistical Mechanics · Physics 2014-05-02 Eial Teomy , Yair Shokef

Extensive numerical simulations in the past decades proved that the critical exponents of the jamming of frictionless spherical particles remain unchanged in two and three dimensions. This implies that the upper critical dimension is…

Soft Condensed Matter · Physics 2020-07-22 Harukuni Ikeda
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