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Related papers: On the fluctuations of jamming coverage upon rando…

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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 adsorption (RSA) models have been studied due to their relevance to deposition processes on surfaces. The depositing particles are represented by hard-core extended objects; they are not allowed to overlap. Numerical Monte…

Condensed Matter · Physics 2016-07-12 P. Nielaba , V. Privman , J. -S. Wang

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

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 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

The random sequential adsorption (RSA) model is a classical model in Statistical Physics for adsorption on two-dimensional surfaces. Objects are deposited sequentially at random and adsorb irreversibly on the landing site, provided that…

Statistical Mechanics · Physics 2018-12-19 Sumanta Kundu , Nuno A. M. Araújo , S. S. Manna

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

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

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

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 report a surprising result, established by numerical simulations and analytical arguments for a one-dimensional lattice model of random sequential adsorption, that even an arbitrarily small imprecision in the lattice-site localization…

Statistical Mechanics · Physics 2016-07-12 Vladimir Privman , Han Yan

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

The jamming and percolation for two generalized models of random sequential adsorption (RSA) of linear $k$-mers (particles occupying $k$ adjacent sites) on a square lattice are studied by means of Monte Carlo simulation. The classical…

An extension of the Random Sequential Adsorption (RSA) model has been proposed recently, motivated by the coverage of oil droplets by DNA-functionalized colloidal particles. Particles arrive to a flat substrate with a uniform flux F but…

Statistical Mechanics · Physics 2018-07-25 Diogo E. P. Pinto , Nuno A. M. Araujo

We investigate sample-to-sample fluctuations of the shear modulus in ensembles of particle packings near the jamming transition. Unlike the average modulus, which exhibits distinct scaling behaviours depending on the interparticle…

Soft Condensed Matter · Physics 2026-03-06 Kumpei Shiraishi , Hideyuki Mizuno

The random sequential adsorption (RSA) model has served as a paradigm for diverse phenomena in physical chemistry, as well as in other areas such as biology, ecology, and sociology. In the present work, we survey aspects of the RSA model…

Statistical Mechanics · Physics 2010-09-22 A. Cadilhe , N. A. M. Araujo , Vladimir Privman

The first theoretical study of a dimer's adsorption process at homogenous surface is presented. By using the RSA algorithm, we show example monolayers, discuss estimations of random jamming coverage and measure the surface blocking…

Materials Science · Physics 2012-05-18 Michal Ciesla , Jakub Barbasz

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

Competitive random sequential adsorption on a line from a binary mix of incident particles is studied using both an analytic recursive approach and Monte Carlo simulations. We find a strong correlation between the small and the large…

Disordered Systems and Neural Networks · Physics 2009-11-13 Arsen V. Subashiev , Serge Luryi
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