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We consider two-species random sequential adsorption (RSA) in which species A and B adsorb randomly on a lattice with the restriction that opposite species cannot occupy nearest-neighbor sites. When the probability $x_A$ of choosing an A…

Statistical Mechanics · Physics 2023-02-15 Paulo H. L. Martins , Ronald Dickman , Robert M. Ziff

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

Random sequential adsorption (RSA) is a standard method of modeling adsorption of large molecules at the liquid-solid interface. Several studies have recently conjectured that in the RSA of rectangular needles, or $k$-mers, on a square…

Statistical Mechanics · Physics 2017-09-06 Grzegorz Kondrat , Zbigniew Koza , Piotr Brzeski

We consider the model of random sequential adsorption, with depositing objects, as well as those already at the surface, decreasing in size according to a specified time dependence, from a larger initial value to a finite value in the large…

Mathematical Physics · Physics 2010-10-12 Oleksandr Gromenko , Vladimir Privman

Random sequential adsorption is an irreversible surface deposition of extended objects. In systems with continuous degrees of freedom coverage follows a power law, theta(t) = theta_J - c t^{-alpha}, where the exponent alpha depends on the…

Statistical Mechanics · Physics 2015-06-25 Jian-Sheng Wang

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

Irreversible adsorption of objects of different shapes and sizes on Euclidean, fractal and random lattices is studied. The adsorption process is modeled by using random sequential adsorption (RSA) algorithm. Objects are adsorbed on one-,…

Random sequential addition (RSA) time-dependent packing process, in which congruent hard hyperspheres are randomly and sequentially placed into a system without interparticle overlap, is a useful packing model to study disorder in high…

Statistical Mechanics · Physics 2014-02-21 G. Zhang , S. 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

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

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

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

Jamming phenomena on a square lattice are investigated for two different models of anisotropic random sequential adsorption (RSA) of linear $k$-mers (particles occupying $k$ adjacent adsorption sites along a line). The length of a $k$-mer…

Disordered Systems and Neural Networks · Physics 2011-12-20 Nikolai I. Lebovka , Natalia N. Karmazina , Yuri Yu. Tarasevich , Valeri V. Laptev

We filled a void with a regular or asymmetric pattern without overlap using a time-dependent packing method termed random sequential adsorption (RSA). In the infinite-time limit, the density of coverage frequently hits a limit. This study…

Soft Condensed Matter · Physics 2023-01-03 Aref Abbasi Moud

We investigate Random Sequential Adsorption (RSA) on a random graph via the following greedy algorithm: Order the $n$ vertices at random, and sequentially declare each vertex either active or frozen, depending on some local rule in terms of…

Probability · Mathematics 2016-10-13 Souvik Dhara , Johan S. H. van Leeuwaarden , Debankur Mukherjee

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

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…

Materials Science · Physics 2013-09-27 Michał Cieśla , Jakub Barbasz

We study saturated packings produced according to random sequential adsorption (RSA) protocol built of identical rectangles deposited on a flat, continuous plane. An aspect ratio of rectangles is defined as the length-to-width ratio,…

Materials Science · Physics 2023-12-01 Luca Petrone , Nikolai Lebovka , Michał Cieśla

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

Random packing of spheres inside fractal collectors of dimension 2 < d < 3 is studied numerically using Random Sequential Adsorption (RSA) algorithm. The paper focuses mainly on the measurement of random packing saturation limit.…

Materials Science · Physics 2013-10-17 Michał Cieśla , Jakub Barbasz