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Connectedness percolation phenomena in the two-dimensional (2D) packing of binary mixtures of disks with different diameters were studied numerically. The packings were produced using random sequential adsorption (RSA) model with…

Soft Condensed Matter · Physics 2024-04-02 N. I. Lebovka , M. R. Petryk , N. V. Vygornitskii

We consider the persistent exclusion process in which a set of persistent random walkers interact via hard-core exclusion on a hypercubic lattice in $d$ dimensions. We work within the ballistic regime whereby particles continue to hop in…

Statistical Mechanics · Physics 2020-11-23 Matthew J. Metson , Martin R. Evans , Richard A. Blythe

A simple multiscale approach to the diffusion-driven adsorption from a solution to a solid surface is presented. The model combines two important features of the adsorption process: (i) the kinetics of the chemical reaction between…

Chemical Physics · Physics 2009-11-13 Radek Erban , S. Jonathan Chapman

We express the coverage (occupation fraction) $\theta$, in powers of time $t$ for four models of two-dimensional lattice random sequential adsorption (RSA) to very high orders by improving an algorithm developed by the present authors [J.…

Condensed Matter · Physics 2009-10-30 Chee Kwan Gan , Jian-Sheng Wang

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…

Soft Condensed Matter · Physics 2018-05-01 G. Zhang

Adsorption of tetramer built of four identical spheres was studied numerically using the Random Sequential Adsorption (RSA) algorithm. Tetramers were adsorbed on a two dimensional, flat and homogeneous surface. Two different models of the…

Materials Science · Physics 2013-09-27 Michał Cieśla

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

The behavior of the percolation threshold and the jamming coverage for isotropic random sequential adsorption samples has been studied by means of numerical simulations. A parallel algorithm that is very efficient in terms of its speed and…

Statistical Mechanics · Physics 2018-12-24 M. G. Slutskii , L. Yu. Barash , Yu. Yu. Tarasevich

We consider the non-overlapping irreversible random sequential adsorption (RSA) process on one-dimensional finite line, which is known also as the car parking process. The probability of each coverage in saturating states is analytically…

Statistical Mechanics · Physics 2008-12-03 Masatomo Iwasa , Kyohei Fukuda

An active system consisting of many self-spinning dimers is simulated, and a distinct local rotational jamming transition is observed as the density increases. In the low density regime, the system stays in an absorbing state, in which each…

Soft Condensed Matter · Physics 2022-04-29 Rui Liu , Jianxiao Gong , Mingcheng Yang , Ke Chen

Jamming and percolation transitions in the standard random sequential adsorption of particles on regular lattices are characterized by a universal set of critical exponents. The universality class is preserved even in the presence of…

Statistical Mechanics · Physics 2021-04-28 Sumanta Kundu , Dipanjan Mandal

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…

Statistical Mechanics · Physics 2023-08-16 Nikolai Lebovka , Mykhaylo Petryk , Mykhailo Tatochenko , Nikolai Vygornitskii

Random sequential addition (RSA) models are used in a large variety of contexts to model particle aggregation and jamming. A key feature of these models is the algebraic time dependence of the asymptotic jamming coverage as $t\to\infty$.…

Statistical Mechanics · Physics 2017-07-24 Adrian Baule

The Random Sequential Adsorption (RSA) problem holds crucial theoretical and practical significance, serving as a pivotal framework for understanding and optimizing particle packing in various scientific and technological applications. Here…

Statistical Mechanics · Physics 2024-04-09 G Palacios , A M S Macêdo , Sumanta Kundu , M A F Gomes

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

The random sequential adsorption (RSA) model is modified to describe damage and crack accumulation. The exclusion for object deposition (for damaged region formation) is not for the whole object, as in the standard RSA, but only for the…

Statistical Mechanics · Physics 2010-10-12 O. Gromenko , V. Privman , M. L. Glasser

In this work, we present a variant of the multilayer random sequential adsorption (RSA) process that is inspired by orthogonal resource sharing in wireless communication networks. In the one-dimensional (1D) version of this variant, the…

Information Theory · Computer Science 2022-02-23 Priyabrata Parida , Harpreet S. Dhillon

Relaxation of the packing of elongated particles (discorectangles) aligned on a line was studied numerically. The aspect ratio (length-to-width ratio) for the discorectangles was varied within the range $\varepsilon \in [1;50]$. The initial…

Statistical Mechanics · Physics 2021-12-08 Nikolai I. Lebovka , Mykhailo O. Tatochenko , 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…

Soft Condensed Matter · Physics 2023-05-03 Aref Abbasi Moud

We study the competitive irreversible adsorption of a binary mixture of monomers and square-shaped particles of linear size $R$ on the square lattice. With the random sequential adsorption model, we investigate how the jamming coverage and…

Soft Condensed Matter · Physics 2022-05-04 Sumanta Kundu , Henrique C. Prates , Nuno A. M. Araujo