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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

The aggregation of particles in the free molecular regime is determined approximately for situations with a high degree of translational energy equilibration. The mean particle sizes develop linearly in time. Scaling relations are used to…

Atomic and Molecular Clusters · Physics 2024-01-10 Klavs Hansen

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

Many drug delivery systems suffer from undesirable interactions with the host immune system. It has been experimentally established that covalent attachment (irreversible adsorption) of suitable macromolecules to the surface of the drug…

Biological Physics · Physics 2007-05-23 Radek Erban , Jonathan Chapman , Kerry D. Fisher , Ioannis G. Kevrekidis , Leonard W. Seymour

We study the kinetics of random sequential adsorption of a mixture of particles with continuous distribution of sizes for different deposition rules. It appears in the long time limit the resulting system can be described using the fractal…

Condensed Matter · Physics 2008-02-03 M. K. Hassan

Irreversible adsorption of spheres on flat collectors having dimension $d<2$ is studied. Molecules are adsorbed on Sierpinski's Triangle and Carpet like fractals ($1<d<2$), and on General Cantor Set ($d<1$). Adsorption process is modeled…

Materials Science · Physics 2012-08-02 Michal Ciesla , Jakub Barbasz

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

Soft Condensed Matter · Physics 2008-05-23 J. Talbot , G. Tarjus , P. Viot

We use confocal microscopy to study a random close packed sample of colloidal particles. We introduce an algorithm to estimate the size of each particle. Taking into account their sizes, we compute the compressibility of the sample as a…

Soft Condensed Matter · Physics 2011-12-08 Rei Kurita , Eric R. Weeks

Random sequential adsorption algorithm is a popular tool for modelling structure of monolayers built in irreversible adsorption experiments. However, this algorithm becomes very inefficient when the density of molecules in a layer rises.…

Computational Physics · Physics 2019-11-25 Michał Cieśla

We consider the mass-dependent aggregation process (k+1)X -> X, given a fixed number of unit mass particles in the initial state. One cluster is chosen proportional to its mass and is merged into one either with k-neighbors in one…

Data Analysis, Statistics and Probability · Physics 2011-11-02 Seung-Woo Son , Claire Christensen , Golnoosh Bizhani , Peter Grassberger , Maya Paczuski

We introduce the theater model, which is the simplest variant of directed random sequential adsorption in one dimension with point source and steric interactions. Particles enter sequentially an initially empty row of $L$ sites and adsorb…

Statistical Mechanics · Physics 2019-06-24 P. L. Krapivsky , J. M. Luck

The irreversible adsorption of polymers to a two-dimensional solid surface is studied. An operator formalism is introduced for chemisorption from a polydisperse solution of polymers which transforms the analysis of the adsorption process to…

Chemical Physics · Physics 2009-11-13 Radek Erban , Jonathan Chapman

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

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

The effect of partial absorption on a diffusive particle which stochastically resets its position with a finite rate $r$ is considered. The particle is absorbed by a target at the origin with absorption `velocity' $a$; as the velocity $a$…

Statistical Mechanics · Physics 2015-06-12 Justin Whitehouse , Martin R. Evans , Satya N. Majumdar

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

We study approach to the large-time jammed state of the deposited particles in the model of random sequential adsorption. The convergence laws are usually derived from the argument of Pomeau which includes the assumption of the dominance,…

Statistical Mechanics · Physics 2017-11-27 Arjun Verma , Vladimir Privman

The random sequential adsorption of various particle shapes is studied in order to determine the influence of particle anisotropy on the saturated random packing. For all tested particles there is an optimal level of anisotropy which…

Materials Science · Physics 2015-10-28 Michał Cieśla , Grzegorz Pająk , Robert M. Ziff

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

Saturated random packing of particles built of two identical, relatively shifted spheres in two and three dimensional flat and homogeneous space was studied numerically using random sequential adsorption algorithm. The shift between centers…

Materials Science · Physics 2015-06-19 Michał Cieśla
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