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In random sequential adsorption (RSA), objects are deposited randomly, irreversibly, and sequentially; attempts leading to an overlap with previously deposited objects are discarded. The process continues until the system reaches a jammed…

Statistical Mechanics · Physics 2020-12-04 P. L. Krapivsky

There are two main classes of physics-based models for two-dimensional cellular materials: packings of repulsive disks and the vertex model. These models have several disadvantages. For example, disk interactions are typically a function of…

Soft Condensed Matter · Physics 2018-12-19 Arman Boromand , Alexandra Signoriello , Fangfu Ye , Corey S. O'Hern , Mark D. Shattuck

The jamming of bi-disperse soft core disks is considered, using a variety of different protocols to produce the jammed state. In agreement with other works, we find that cooling and compression can lead to a broad range of jamming packing…

Soft Condensed Matter · Physics 2015-05-19 Daniel Vågberg , Peter Olsson , S. Teitel

We experimentally probe the vicinity of the jamming point J, located at a density $\phi$ corresponding to random close packing ($\phi_{rcp} = 0.842$), in two dimensional, bidisperse packings of foam bubbles. We vary the density of the foam…

Soft Condensed Matter · Physics 2015-05-19 Gijs Katgert , Martin van Hecke

We study properties of jammed packings of frictionless spheres over a wide range of volume fractions. There exists a crossover volume fraction which separates deeply jammed solids from marginally jammed solids. In deeply jammed solids, all…

Soft Condensed Matter · Physics 2011-03-25 Cang Zhao , Kaiwen Tian , Ning Xu

Random sequential adsorption (RSA) is a standard method of modeling adsorption of large molecules at the liquid-solid interface. Here we consider jammed states of the RSA process of nonoverlapping dimers (objects occupying two…

Statistical Mechanics · Physics 2022-04-15 Zbigniew Koza , Grzegorz Kondrat

We study two-dimensional random sequential adsorption (RSA) of flat polygons and rounded squares aligned in parallel to find a transition in the asymptotic behavior of the kinetics of packing growth. Differences in the kinetics for RSA of…

Statistical Mechanics · Physics 2023-05-31 Michał Cieśla , Piotr Kubala , Aref Abbasi Moud

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

Disks of two sizes are confined to a long and narrow channel. The axis and the plane of the channel are horizontal. The channel is closed off by pistons that freeze jammed microstates out of loose disk configurations, agitated randomly at…

Soft Condensed Matter · Physics 2025-12-12 Dan Liu , Michael Karbach , Gerhard Müller

We study the phenomenon of jamming in driven diffusive systems. We introduce a simple microscopic model in which jamming of a conserved driven species is mediated by the presence of a non-conserved quantity, causing an effective long range…

Statistical Mechanics · Physics 2009-10-30 O. J. O'Loan , M. R. Evans , M. E. Cates

We study analytically and numerically a model of random sequential adsorption (RSA) of segments on a line, subject to some constraints suggested by two kinds of physical situations: - deposition of dimers on a lattice where the sites have a…

Condensed Matter · Physics 2016-08-31 B. Bonnier , Y. Leroyer , E. Pommiers

We present a model of one-dimensional irreversible adsorption in which particles once adsorbed immediately shrink to a smaller size or expand to a larger size. Exact solutions for the fill factor and the particle number variance as a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Arsen V. Subashiev , Serge Luryi

We discuss two important techniques, series expansion and Monte Carlo simulation, for random sequential adsorption study. Random sequential adsorption is an idealization for surface deposition where the time scale of particle relaxation is…

Statistical Mechanics · Physics 2009-10-31 Jian-Sheng Wang

We compute the time-dependent coverage in the random sequential adsorption of aligned d-dimensional cubes in $R^d$ using time-series expansions. The seventh-order series in 2, 3 and 4 dimensions is resummed in order to predict the coverage…

Condensed Matter · Physics 2009-10-22 B. Bonnier , M. Hontebeyrie , C. Meyers

Superballs represent a class of particles whose shapes are defined by ${|x|}^{2p}+{|y|}^{2p}+{|z|}^{2p} \le R^{2p}$, with $p\in(0,\infty)$ being the "deformation parameter". $0<p<0.5$ represents a family of hexapodlike (concave…

Soft Condensed Matter · Physics 2019-09-11 Pooria Yousefi , Hessam Malmir , Muhammad Sahimi

Consider the random sequential packing model with infinite input and in any dimension. When the input consists of non-zero volume convex solids we show that the total number of solids accepted over cubes of volume $\lambda$ is…

Probability · Mathematics 2015-06-26 T. Schreiber , Mathew D. Penrose , J. E. Yukich

We numerically produce fully amorphous assemblies of frictionless spheres in three dimensions and study the jamming transition these packings undergo at large volume fractions. We specify four protocols yielding a critical value for the…

Statistical Mechanics · Physics 2010-05-07 Pinaki Chaudhuri , Ludovic Berthier , Srikanth Sastry

We carry out numerical studies of static packings of frictionless superellipsoidal particles in three spatial dimensions. We consider more than $200$ different particle shapes by varying the three shape parameters that define…

Soft Condensed Matter · Physics 2019-12-05 Ye Yuan , Kyle VanderWerf , Mark D. Shattuck , Corey S. O'Hern

In this work we provide an overview of jamming transitions in two dimensional systems focusing on the limit of frictionless particle interactions in the absence of thermal fluctuations. We first discuss jamming in systems with short range…

Soft Condensed Matter · Physics 2017-12-06 C. Reichhardt , C. J. Olson Reichhardt

Dynamical signatures are known to precede jamming in hard-particle systems, but static structural signatures have proven more elusive. The observation that compressing hard-particle packings towards jamming causes growing hyperuniformity…

Statistical Mechanics · Physics 2016-09-21 Steven Atkinson , Frank H. Stillinger , Salvatore Torquato