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The properties of the number of iterations in random sequential adsorption protocol needed to generate finite saturated random packing of spherically symmetric shapes were studied. Numerical results obtained for one, two, and three…

Statistical Mechanics · Physics 2016-12-21 Michał Cieśla

We obtain long series (28 terms or more) for the coverage (occupation fraction) $\theta$, in powers of time $t$ for two models of random sequential adsorption with diffusional relaxation using an efficient algorithm developed by the…

Condensed Matter · Physics 2009-10-28 Chee Kwan Gan , Jian-Sheng Wang

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

This paper introduces a new source coding paradigm called Sequential Massive Random Access (SMRA). In SMRA, a set of correlated sources is encoded once for all and stored on a server, and clients want to successively access to only a subset…

Information Theory · Computer Science 2017-08-31 Elsa Dupraz , Thomas Maugey , Aline Roumy , Michel Kieffer

Random packing of spheres inside fractal collectors of dimension 2 < d < 3 is studied numerically using Random Sequential Adsorption (RSA) algorithm. The paper focuses mainly on the measurement of random packing saturation limit.…

Materials Science · Physics 2013-10-17 Michał Cieśla , Jakub Barbasz

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

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

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

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

When gas molecules bind to a surface they may do so in such a way that the adsorption of one molecule inhibits the arrival of others. We consider random sequential adsorption in which the empty sites of a graph are irreversibly occupied in…

Probability · Mathematics 2009-09-29 Aidan Sudbury

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

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

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

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

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

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

An important receiver operation is to detect the presence specific preamble signals with unknown delays in the presence of scattering, Doppler effects and carrier offsets. This task, referred to as "link acquisition", is typically a…

Information Theory · Computer Science 2015-06-11 Xiao Li , Andrea Rueetschi , Anna Scaglione , Yonina C. Eldar

We develop a novel and powerful method of exactly calculating various transport characteristics of waves in one-dimensional random media with (or without) coherent absorption or amplification. Using the method, we compute the probability…

Disordered Systems and Neural Networks · Physics 2009-10-31 Kihong Kim

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-,…

This paper develops a unified framework, based on iterated random operator theory, to analyze the convergence of constant stepsize recursive stochastic algorithms (RSAs). RSAs use randomization to efficiently compute expectations, and so…

Machine Learning · Computer Science 2021-01-06 Abhishek Gupta , William B. Haskell