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Related papers: Random Sequential Adsorption on Fractals

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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 (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

We present a model of one-dimensional irreversible adsorption in which particles once adsorbed immediately shrink to a smaller size or expand to a larger size. Exact solutions for the fill factor and the particle number variance as a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Arsen V. Subashiev , Serge Luryi

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

Polymer adsorption on fractally rough walls of varying dimensionality is studied by renormalization group methods on hierarchical lattices. Exact results are obtained for deterministic walls. The adsorption transition is found continuous…

Statistical Mechanics · Physics 2007-05-23 G. Giugliarelli , A. L. Stella

We examine the reversible adsorption of hard spheres on a random site surface in which the adsorption sites are uniformly and randomly distributed on a plane. Each site can be occupied by one solute provided that the nearest occupied site…

Statistical Mechanics · Physics 2015-06-25 C. Oleyar , J. Talbot

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

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

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

Inspired by observations of beads packed on a thin string in such systems as sea-grapes and dental plaque, we study the random sequential adsorption of spheres on a cylinder. We determine the asymptotic fractional coverage of the cylinder…

Soft Condensed Matter · Physics 2020-01-08 Edvin Memet , Nabila Tanjeem , Charlie Greboval , Vinothan N. Manoharan , L. Mahadevan

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 of binary mixtures of extended objects on a two-dimensional triangular lattice is studied numerically by means of Monte Carlo simulations. The depositing objects are formed by self-avoiding random walks on the…

Statistical Mechanics · Physics 2009-11-13 I. Lončarević , Lj. Budinski-Petković , S. B. Vrhovac

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

Random packing of unoriented regular polygons and star polygons on a two-dimensional flat, continuous surface is studied numerically using random sequential adsorption algorithm. Obtained results are analyzed to determine saturated random…

Statistical Mechanics · Physics 2016-03-27 Michał Cieśla , Jakub Barbasz

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 discuss two important techniques, series expansion and Monte Carlo simulation, for random sequential adsorption study. Random sequential adsorption is an idealization for surface deposition where the time scale of particle relaxation is…

Statistical Mechanics · Physics 2009-10-31 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

Understanding the dynamic adsorption of colloidal particles at fluid interfaces is essential for applications ranging from emulsion stabilization to interfacial assembly of functional materials. Adsorption dynamics is often described…

Soft Condensed Matter · Physics 2025-07-29 Marina Pasquet , Yu Fu , Joelle Frechette

We present the algorithm for generating strictly saturated random sequential adsorption packings built of rounded polygons. It can be used to study various properties of such packings built of a wide variety of different shapes and in…

Statistical Mechanics · Physics 2021-06-23 Michał Cieśla , Piotr Kubala , Konrad Kozubek