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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

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 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 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

In random sequential adsorption (RSA), objects are deposited on a substrate randomly, irreversibly, and sequentially. Attempts of deposition that lead to an overlap with previously deposited objects are discarded. The process continues…

Statistical Mechanics · Physics 2024-11-04 Tomislav Došlić , Mate Puljiz , Stjepan Šebek , Josip Žubrinić

In random sequential adsorption (RSA), objects are deposited randomly, irreversibly, and sequentially; attempts leading to an overlap with previously deposited objects are discarded. The process continues until the system reaches a jammed…

Statistical Mechanics · Physics 2020-12-04 P. L. Krapivsky

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…

Random sequential adsorption (RSA) of polymer, modeled as a chain of identical spheres, is systematically studied. In order to control precisely anisotropy and number of degrees of freedom, two different kinds of polymers are used. In the…

Soft Condensed Matter · Physics 2013-05-14 Michał Cieśla

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

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 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

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

We consider the reversible random sequential adsorption of line segments on a one-dimensional lattice. Line segments of length $l \geq 2$ adsorb on the lattice with a adsorption rate $K_a$, and leave with a desorption rate $K_d$. We…

Statistical Mechanics · Physics 2015-06-24 Jae Woo Lee

In this paper, we present a unified study of the limiting density in one-dimensional random sequential adsorption (RSA) processes where segment lengths are drawn from a given distribution. In addition to generic bounds, we are also able to…

Probability · Mathematics 2024-03-22 Roger Fan , Nitya Mani

We study the deposition of line segments on a two-dimensional square lattice. The estimates for the coverage at jamming obtained by Monte-Carlo simulations and by $7^{th}$-order time-series expansion are successfully compared. The…

Condensed Matter · Physics 2009-10-22 B. Bonnier , M. Hontebeyrie , Y. Leroyer , C. Meyers , E. Pommiers

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

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

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

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
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