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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…

数学物理 · 物理学 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…

原子与分子团簇 · 物理学 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…

统计力学 · 物理学 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…

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…

凝聚态物理 · 物理学 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…

材料科学 · 物理学 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…

软凝聚态物质 · 物理学 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…

软凝聚态物质 · 物理学 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.…

计算物理 · 物理学 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…

数据分析、统计与概率 · 物理学 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…

统计力学 · 物理学 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…

化学物理 · 物理学 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…

统计力学 · 物理学 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…

统计力学 · 物理学 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 $a$…

统计力学 · 物理学 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…

概率论 · 数学 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,…

统计力学 · 物理学 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…

材料科学 · 物理学 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…

统计力学 · 物理学 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…

材料科学 · 物理学 2015-06-19 Michał Cieśla
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