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Random packing of unoriented regular polygons and star polygons on a two-dimensional flat, continuous surface is studied numerically using random sequential adsorption algorithm. Obtained results are analyzed to determine saturated random…

统计力学 · 物理学 2016-03-27 Michał Cieśla , Jakub Barbasz

Saturated random packing of particles built of two identical, relatively shifted spheres in two and three dimensional flat and homogeneous space was studied numerically using random sequential adsorption algorithm. The shift between centers…

材料科学 · 物理学 2015-06-19 Michał Cieśla

We study the kinetics of competitive random sequential adsorption (RSA) of particles of binary mixture of points and fixed-sized particles within the mean-field approach. The present work is a generalization of the random car parking…

统计力学 · 物理学 2016-08-31 M. K. Hassan , J. Kurths

Computer simulation was used to study the random sequential adsorption of identical discorectangles onto a continuous plane . The problem was analyzed for a wide range of discorectangle aspect ratios ($\varepsilon \in [1;100]$). We studied…

软凝聚态物质 · 物理学 2020-09-02 Nikolai I. Lebovka , Nikolai V. Vygornitskii , Yuri Yu. Tarasevich

The goal of random sequential adsorption (RSA), a time-dependent packing method, is to create a regular or asymmetric covering of an empty space that can fit in the allocated space without overlapping. The density of coverage tends to reach…

软凝聚态物质 · 物理学 2023-05-03 Aref Abbasi Moud

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…

材料科学 · 物理学 2012-08-02 Michal Ciesla , Jakub Barbasz

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…

统计力学 · 物理学 2023-05-31 Michał Cieśla , Piotr Kubala , Aref Abbasi Moud

Random sequential adsorption (RSA) is a time-dependent packing process, in which particles of certain shapes are randomly and sequentially placed into an empty space without overlap. In the infinite-time limit, the density approaches a…

软凝聚态物质 · 物理学 2018-05-01 G. Zhang

Equilibrium adsorption of disk-like particles on patterned adhesive surfaces is studied using Monte Carlo simulations. The surface is represented as a two-dimensional plane with circular adhesive domains arranged either regularly or…

软凝聚态物质 · 物理学 2026-05-05 Nazar Kukarkin , Taras Patsahan

Adsorption of trimers and hexamers built of identical spheres was studied numerically using the Random Sequential Adsorption (RSA) algorithm. Particles were adsorbed on a two dimensional, flat and homogeneous surface. Numerical simulations…

材料科学 · 物理学 2013-09-27 Michał Cieśla , Jakub Barbasz

A notorious problem in mathematics and physics is to create a solvable model for random sequential adsorption of non-overlapping congruent spheres in the $d$-dimensional Euclidean space with $d\geq 2$. Spheres arrive sequentially at…

概率论 · 数学 2019-01-25 Souvik Dhara , Johan S. H. van Leeuwaarden , Debankur Mukherjee

The adsorption of particles diffusing in a half-space bounded by the substrate and irreversibly sticking to the substrate upon contacts is investigated. We show that when absorbing particles are planar disks diffusing in the…

统计力学 · 物理学 2018-07-25 P. L. Krapivsky

In the paper, packings built of identical cuboids with a square base created by random sequential adsorption are studied. The result of the study show that the packing of the highest density are obtained for oblate and prolate cuboids of…

材料科学 · 物理学 2018-08-01 Piotr Kubala , Michał Cieśla

We present the algorithm for generating strictly saturated random sequential adsorption packings built of rounded polygons. It can be used to study various properties of such packings built of a wide variety of different shapes and in…

统计力学 · 物理学 2021-06-23 Michał Cieśla , Piotr Kubala , Konrad Kozubek

We examine the reversible adsorption of hard spheres on a random site surface in which the adsorption sites are uniformly and randomly distributed on a plane. Each site can be occupied by one solute provided that the nearest occupied site…

统计力学 · 物理学 2015-06-25 C. Oleyar , J. Talbot

Studies of random close packing of spheres have advanced our knowledge about the structure of systems such as liquids, glasses, emulsions, granular media, and amorphous solids. When these systems are confined their structural properties…

软凝聚态物质 · 物理学 2009-12-17 Kenneth W. Desmond , Eric R. Weeks

In this paper the random packing fraction of hard disks in a plane is analyzed, following a geometric probabilistic approach. First, the random close packing (RCP) of equally sized disks is modelled. Subsequently, following the same…

软凝聚态物质 · 物理学 2023-11-09 H. J. H. Brouwers

The different variants of two-stage random sequential adsorption (RSA) models for packing of disks and discorectangles on a two-dimensional (2D) surface were investigated. In the SD model, the discorectangles were first deposited and then…

统计力学 · 物理学 2023-08-16 Nikolai Lebovka , Mykhaylo Petryk , Mykhailo Tatochenko , Nikolai Vygornitskii

We develop a general theory of transport-limited aggregation phenomena occurring on curved surfaces, based on stochastic iterated conformal maps and conformal projections to the complex plane. To illustrate the theory, we use stereographic…

统计力学 · 物理学 2015-05-18 Jaehyuk Choi , Darren Crowdy , Martin Z. Bazant

The random sequential adsorption of various particle shapes is studied in order to determine the influence of particle anisotropy on the saturated random packing. For all tested particles there is an optimal level of anisotropy which…

材料科学 · 物理学 2015-10-28 Michał Cieśla , Grzegorz Pająk , Robert M. Ziff
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