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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

Adsorption of a symmetric (AB) random copolymer (RC) onto a symmetric (ab) random heterogeneous surface (RS) is studied in the annealed approximation by using a two-dimensional partially directed walk model of the polymer. We show that in…

Soft Condensed Matter · Physics 2015-06-15 A. A. Polotsky

We characterize the jammed state structure of the random sequential adsorption of segments of two different sizes on a line. To this end, we define the size ratio as a dimensionless quantity measuring the length of the large segments in…

Statistical Mechanics · Physics 2011-07-29 N. A. M. Araujo , A. Cadilhe

We investigate a modified version of the $AB$ random sequential adsorption model. Specifically, this model involves the deposition of two distinct types of particles onto a lattice, with the constraint that different types cannot occupy…

Mathematical Physics · Physics 2024-08-12 Charles S. do Amaral , Diogo C. dos Santos

In this paper we develop an encounter-based model of a run-and-tumble particle (RTP) confined to a finite interval $[0,L]$ with partially absorbing, sticky boundaries at both ends. We assume that the particle switches between two constant…

Statistical Mechanics · Physics 2023-05-10 Paul C. Bressloff

We investigate the process of random sequential adsorption of polydisperse particles whose size distribution exhibits a power-law dependence in the small size limit, $P(R)\sim R^{\alpha-1}$. We reveal a relation between pattern formation…

Statistical Mechanics · Physics 2009-10-31 N. V. Brilliantov , Yu. A. Andrienko , P. L. Krapivsky , J. Kurths

Adsorption of dimers is modelled using random sequential adsorption algorithm. The interaction between molecules is given by screened electrostatic potential. The paper focuses on the properties of adsorbed monolayers as well as the…

Materials Science · Physics 2013-05-14 Michal Ciesla , Jakub Barbasz

We model a dense wireless local area network where the access points (APs) employ carrier sense multiple access (CSMA)-type medium access control protocol. In our model, the spatial locations of the set of active APs are modeled using the…

Information Theory · Computer Science 2022-09-05 Priyabrata Parida , Harpreet S. Dhillon

We study random sequential adsorption (RSA) of a class of solids that can be obtained from a cube by specific cutting of its vertices, in order to find out how the transition from tetrahedral to octahedral symmetry affects the densities of…

Materials Science · Physics 2019-11-22 Piotr Kubala , Michał Cieśla , Robert M. Ziff

Many experimental studies of protein deposition on solid surfaces involve alternating adsorption/desorption steps. In this paper, we investigate the effect of a desorption step (separating two adsorption steps) on the kinetics, the…

Statistical Mechanics · Physics 2009-10-31 Paul R. Van Tassel , Pascal Viot , Gilles Tarjus , Jeremy J. Ramsden , Julian Talbot

In this paper we analyze the influence of transport mechanisms (diffusion and sedimentation) on the structure of monolayers of particles irreversibly adsorbed on a line. We focus our attention on the dependence of the radial distribution…

Condensed Matter · Physics 2009-10-28 Jordi Faraudo , Javier Bafaluy

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

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

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

Dissociative adsorption onto a surface introduces dynamic correlations between neighboring sites not found in non-dissociative absorption. We study surface coverage dynamics where reversible dissociative adsorption of dimers occurs on a…

Statistical Mechanics · Physics 2023-11-16 Enrique Mercado , Hyun Tae Jung , Changho Kim , Alejandro L. Garcia , Andy J. Nonaka , John B. Bell

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

DNA data storage systems encode digital data into DNA strands, enabling dense and durable storage. Efficient data retrieval depends on coverage depth, a key performance metric. We study the random access coverage depth problem and focus on…

Information Theory · Computer Science 2025-07-29 Şeyma Bodur , Stefano Lia , Hiram H. López , Rati Ludhani , Alberto Ravagnani , Lisa Seccia

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

We consider a model for driven particulate matter in which absorbing states can be reached both by particle isolation and by particle caging. The model predicts a non-equilibrium phase diagram in which analogues of hydrodynamic and elastic…

Soft Condensed Matter · Physics 2020-03-04 Christopher Ness , Michael E. Cates

In this paper, a switchable 3-D frequency selective rasorber (FSR) with wide absorption bands without lumped components or commercial magnetic absorbers is presented and investigated. The absorption path is constructed by embedding a hybrid…

Applied Physics · Physics 2023-03-06 Xiangkun Kong , Xuemeng Wang , Xin Jin , Weihao Lin , Lingqi Kong , Shunliu Jiang , Lei Xing