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Connectedness percolation phenomena in two-dimensional packings of elongated particles (discorectangles) were studied numerically. The packings were produced using random sequential adsorption (RSA) off-lattice model with preferential…

We study by Monte Carlo computer simulations random sequential adsorption (RSA) with diffusional relaxation, of lattice hard squares in two dimensions. While for RSA without diffusion the coverage approaches its maximum jamming value…

Condensed Matter · Physics 2014-10-13 J. -S. Wang , P. Nielaba , V. Privman

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-,…

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

Numerical simulations by means of Monte Carlo method and finite-size scaling analysis have been performed to study the percolation behavior of linear $k$-mers (also denoted in the literature as rigid rods, needles, sticks) on…

Disordered Systems and Neural Networks · Physics 2012-12-14 Yuri Yu. Tarasevich , Nikolai I. Lebovka , Valeri V. Laptev

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

Hard-particle packings have served as useful starting points to study the structure of diverse systems such as liquids, living cells, granular media, glasses, and amorphous solids. Howard Reiss has played a major role in helping to…

Statistical Mechanics · Physics 2007-05-23 S. Torquato , F. H. Stillinger

This work discusses numerical studies of the barrier properties of k-mer packings by Monte Carlo method. The studied variants of regular and non-regular arrangements on a square lattice included models of random sequential adsorption (RSA)…

Statistical Mechanics · Physics 2015-06-15 N. Lebovka , S. Khrapatiy , Vygornitskyi , N. Pivovarova

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

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

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

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

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

It is shown that the fluctuations of the jamming coverage upon Random Sequential Adsorption ($\sigma_{\theta_J}$), decay with the lattice size according to the power-law $\sigma_{\theta_J} \propto L^{-1 / \nu_J}$, with $\nu_{J} = 2 / (2D -…

Statistical Mechanics · Physics 2009-11-10 Ernesto S. Loscar , Rodolfo A. Borzi , Ezequiel V. Albano

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

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

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

The fluctuations of the jamming coverage upon Random Sequential Adsorption (RSA) are studied using both analytical and numerical techniques. Our main result shows that these fluctuations (characterized by $\sigma_{\theta_J}$) decay with the…

Statistical Mechanics · Physics 2009-11-10 Ernesto S. Loscar , Rodolfo A. Borzi , Ezequiel V. Albano

Random sequential adsorption of straight rigid rods of length $k$ ($k$-mers) on a simple cubic lattice has been studied by numerical simulations and finite-size scaling analysis. The calculations were performed by using a new theoretical…

Statistical Mechanics · Physics 2015-01-29 G. D. García , F. O. Sanchez-Varretti , P. M. Centres , A. J. Ramirez-Pastor

We study the percolative properties of bi-dimensional systems generated by a random sequential adsorption of line-segments on a square lattice. As the segment length grows, the percolation threshold decreases, goes through a minimum and…

Condensed Matter · Physics 2009-10-22 Y. Leroyer , E. Pommiers