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The random sequential adsorption (RSA) of identical elongated particles (discorectangles) on a line ("Paris car parking problem") was studied numerically. An off-lattice model with continuous positional and orientational degrees of freedom…

Disordered Systems and Neural Networks · Physics 2020-07-14 Nikolai I. Lebovka , Mykhailo O. Tatochenko , Nikolai V. Vygornitskii , Yuri Yu. Tarasevich

We analyse properties of contact networks formed in packings of soft frictionless disks near the unjamming transition. We construct polygonal tilings and triangulations of the contact network that partitions space into convex regions which…

Disordered Systems and Neural Networks · Physics 2017-02-20 Kabir Ramola , Bulbul Chakraborty

By combining computer simulations and a unit cell model approach, we study the apparent bimodality of local structural ordering in a system of confined hard disks. It is shown that a two-dimensional (2D) array of hard disks confined…

Soft Condensed Matter · Physics 2025-04-02 A. Trokhymchuk , T. Bryk , A. Huerta

We numerically investigate hyperuniformity in two-dimensional frictionless jammed packings of bidisperse systems. Hyperuniformity is characterized by the suppression of density fluctuations at large length scales, and the structure factor…

Soft Condensed Matter · Physics 2025-07-18 Duc T. Dam , Takeshi Kawasaki , Atsushi Ikeda , Kunimasa Miyazaki

We investigate the jamming transition in a quasi-2D granular material composed of regular pentagons or disks subjected to quasistatic uniaxial compression. We report six major findings based on experiments with monodisperse photoelastic…

To study the interplay of jamming, cluster formation, and motility-induced phase separation in the zero temperature limit in two dimensions, we consider a simple model system consisting of a bidisperse mixture of disks that are only subject…

Soft Condensed Matter · Physics 2023-06-16 Michael Schmiedeberg

We study thermodynamics properties of a one dimensional gas of hard elongated particles. The particle centers are restricted to a line, while they can rotate in two-dimensional space. Correlations between orientations of the objects are…

Statistical Mechanics · Physics 2009-10-27 Yacov Kantor , Mehran Kardar

We study the kinetics of random sequential adsorption of a mixture of particles with continuous distribution of sizes for different deposition rules. It appears in the long time limit the resulting system can be described using the fractal…

Condensed Matter · Physics 2008-02-03 M. K. Hassan

We consider exploration algorithms of the random sequential adsorption type both for homogeneous random graphs and random geometric graphs based on spatial Poisson processes. At each step, a vertex of the graph becomes active and its…

Probability · Mathematics 2017-11-22 Paola Bermolen , Matthieu Jonckheere , Jaron Sanders

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 perform extensive computational studies of two-dimensional static bidisperse disk packings using two distinct packing-generation protocols. The first involves thermally quenching equilibrated liquid configurations to zero temperature…

Soft Condensed Matter · Physics 2011-08-08 Carl F. Schreck , Corey S. O'Hern , Leonardo E. Silbert

Combining a continuous "slab" density with discrete "spike" mass at zero, spike-and-slab priors provide important tools for inducing sparsity and carrying out variable selection in Bayesian models. However, the presence of discrete mass…

Computation · Statistics 2026-03-05 Andrew Chin , Akihiko Nishimura

We present results of a new model of sequential adsorption in which the adsorbing particles are correlated with the particles attached to the substrate. The strength of the correlations is measured by a tunable parameter $\sigma$. The model…

Statistical Mechanics · Physics 2009-11-07 R. Pastor-Satorras , J. M. Rubi

The jamming and percolation for two generalized models of random sequential adsorption (RSA) of linear $k$-mers (particles occupying $k$ adjacent sites) on a square lattice are studied by means of Monte Carlo simulation. The classical…

Using numerical simulations we examine the velocity fluctuations of a probe particle driven with constant force through a two-dimensional disordered assembly of disks which has a well-defined jamming point J at a density of \phi_J=0.843. As…

Soft Condensed Matter · Physics 2015-05-13 C. J. Olson Reichhardt , C. Reichhardt

Restricted-valence random sequential adsorption~(RSA) is studied in its pure and disordered versions, on the square and triangular lattices. For the simplest case~(pure on the square lattice) we prove the absence of percolation for maximum…

Statistical Mechanics · Physics 2020-10-14 A. P. Furlan , Diogo C. dos Santos , Robert M. Ziff , Ronald Dickman

We analyze the large scale structure and fluctuations of jammed packings of size disperse spheres, produced in a granular experiment as well as numerically. While the structure factor of the packings reveals no unusual behavior for small…

Statistical Mechanics · Physics 2011-06-01 Ludovic Berthier , Pinaki Chaudhuri , Corentin Coulais , Olivier Dauchot , Peter Sollich

We investigate the short, medium, and long-range structure of soft disk configurations for a wide range of area fractions and simulation protocols by converting the real-space spectrum of volume fraction fluctuations for windows of width…

Soft Condensed Matter · Physics 2018-10-24 A. T. Chieco , M. Zu , A. J. Liu , N. Xu , D. J. Durian

Random arrangements of points in the plane, interacting only through a simple hard core exclusion, are considered. An intensity parameter controls the average density of arrangements, in analogy with the Poisson point process. It is proved…

Mathematical Physics · Physics 2014-08-18 David Aristoff

We answer the questions raised by Donev, Torquato, Stillinger, and Connelly in their "Comment on "Jamming at zero temperature and zero applied stress: The epitome of disorder.' " We emphasize that we follow a fundamentally different…

Soft Condensed Matter · Physics 2009-11-11 C. S. O'Hern , L. E. Silbert , A. J. Liu , S. R. Nagel