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The effect of defects on the behavior of electrical conductivity in a monolayer produced by the random sequential adsorption of linear $k$-mers (particles occupying $k$ adjacent sites) onto a square lattice is studied by means of a Monte…

Disordered Systems and Neural Networks · Physics 2018-09-25 Yu. Yu. Tarasevich , V. V. Laptev , V. A. Goltseva , N. I. Lebovka

Diffusion in a two-species 2D system has been simulated using a lattice approach. Rodlike particles were considered as linear $k$-mers of two mutually perpendicular orientations ($k_x$- and $k_y$-mers) on a square lattice. These $k_x$- and…

Statistical Mechanics · Physics 2017-09-26 Yuri Yu. Tarasevich , Valeri V. Laptev , Andrei S. Burmistrov , Nikolai I Lebovka

Structure of monolayers built during adsorption process is strongly related to the properties of adsorbed particles. The most important factor is their shape. For example, adsorption of elongated molecules on patterned surfaces may produce…

Materials Science · Physics 2013-06-28 Jakub Barbasz , Michał Cieśla

The diffusion-driven self-assembly of rod-like particles was studied by means of Monte Carlo simulation. The rods were represented as linear $k$-mers (i.e., particles occupying $k$ adjacent sites). In the initial state, they were deposited…

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

Monte Carlo (MC) simulations have been carried out to study the adsorption on square and triangular lattices of particles with two bonding sites that, by decreasing temperature or increasing density, polymerize reversibly into chains with a…

Statistical Mechanics · Physics 2012-11-06 L. G. López , A. J. Ramirez-Pastor

We study analytically and numerically a model of random sequential adsorption (RSA) of segments on a line, subject to some constraints suggested by two kinds of physical situations: - deposition of dimers on a lattice where the sites have a…

Condensed Matter · Physics 2016-08-31 B. Bonnier , Y. Leroyer , E. Pommiers

Motivated by the problem of domain formation in chromosomes, we studied a co--polymer model where only a subset of the monomers feel attractive interactions. These monomers are displaced randomly from a regularly-spaced pattern, thus…

Biomolecules · Quantitative Biology 2018-02-13 Matteo Negri , Marco Gherardi , Guido Tiana , Marco Cosentino Lagomarsino

The domain formation of curvature-inducing molecules, such as peripheral or transmembrane proteins and conical surfactants, is studied in thermal equilibrium and nonequilibrium steady states using meshless membrane simulations. These…

Soft Condensed Matter · Physics 2023-01-30 Hiroshi Noguchi

We consider the reversible random sequential adsorption of line segments on a one-dimensional lattice. Line segments of length $l \geq 2$ adsorb on the lattice with a adsorption rate $K_a$, and leave with a desorption rate $K_d$. We…

Statistical Mechanics · Physics 2015-06-24 Jae Woo Lee

Random sequential adsorption (RSA) models have been studied due to their relevance to deposition processes on surfaces. The depositing particles are represented by hard-core extended objects; they are not allowed to overlap. Numerical Monte…

Condensed Matter · Physics 2016-07-12 P. Nielaba , V. Privman , J. -S. Wang

Pattern formation in a two-dimensional system of rod-like particles has been simulated using a lattice approach. Rod-like particles were modelled as linear $k$-mers of two mutually perpendicular orientations ($k_x$- and $k_y$-mers) on a…

Statistical Mechanics · Physics 2018-12-27 Yuri Yu. Tarasevich , Valeri V. Laptev , Valentiva V. Chirkova , Nikolai I. Lebovka

Random sequential adsorption with diffusional relaxation, of two by two square objects on the two-dimensional square lattice is studied by Monte Carlo computer simulation. Asymptotically for large lattice sizes, diffusional relaxation…

Condensed Matter · Physics 2010-10-12 Jian-Sheng Wang , Peter Nielaba , Vladimir Privman

A simple, discrete, parametric model is proposed to describe conditional (correlated) deposition of particles on a surface and formation of a connecting (percolating) cluster. The surface changes spontaneously its properties (phase…

Statistical Mechanics · Physics 2007-05-23 Ana Proykova , Boris Karadjov

A model for a monolayer of two types of particles spontaneously forming ordered patterns is studied by a mesoscopic theory and by MC simulations. We assume hard-cores of the same size for both components, short-range attraction long-range…

Soft Condensed Matter · Physics 2023-11-10 O. Patsahan , A. Meyra , A. Ciach

We study the percolation and jamming of rods ($k$-mers) on a square lattice that contains defects. The point defects are placed randomly and uniformly on the substrate before deposition of the rods. The general case of unequal probabilities…

We study the effect of the presence of a regular substrate pattern on the irreversible adsorption of nanosized and colloid particles. Deposition of disks of radius $r_0$ is considered, with the allowed regions for their center attachment at…

Statistical Mechanics · Physics 2010-10-12 N. A. M. Araujo , A. Cadilhe , Vladimir Privman

We use a coarse grained molecular model of supported lipid bilayers to study the formation of adhesion domains. We find that this process is a first order phase transition, triggered by a combination of pairwise short range attractive…

Soft Condensed Matter · Physics 2015-06-22 Nadiv Dharan , Oded Farago

Numerical simulations by means of Monte Carlo method and finite-size scaling analysis have been performed to study the percolation behavior of linear $k$-mers (also denoted in the literature as rigid rods, needles, sticks) on…

Disordered Systems and Neural Networks · Physics 2012-12-14 Yuri Yu. Tarasevich , Nikolai I. Lebovka , Valeri V. Laptev

We present some results of Monte Carlo simulations for the deposition of particles of different sizes on a two-dimensional substrate. The particles are linear, height one, and can be deposited randomly only in the two, $x$ and $y$…

Statistical Mechanics · Physics 2010-06-15 F. L. Forgerini , W. Figueiredo
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