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Related papers: Kinetic Roughening in Deposition with Suppressed S…

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We extend our 2+1 dimensional discrete growth model (PRE 79, 021125 (2009)) with conserved, local exchange dynamics of octahedra, describing surface diffusion. A roughening process was realized by uphill diffusion and curvature dependence.…

Statistical Mechanics · Physics 2010-05-14 Geza Odor , Bartosz Liedke , Karl-Heinz Heinig

Substrate disorder effects on the scaling properties of growing crystalline surfaces in solidification or epitaxial deposition processes are investigated. Within the harmonic approach there is a phase transition into a low-temperature…

Condensed Matter · Physics 2016-08-31 Yan-Chr Tsai , Yonathan Shapir

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

We have studied kinetics of random sequential adsorption of mixtures on a square lattice using Monte Carlo method. Mixtures of linear short segments and long segments were deposited with the probability $p$ and $1-p$, respectively. For…

Statistical Mechanics · Physics 2016-08-31 Jae Woo Lee

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

In random sequential covering, identical objects are deposited randomly, irreversibly, and sequentially; only attempts that increase coverage are accepted. The process continues indefinitely on an infinite substrate, and we analyze the…

Statistical Mechanics · Physics 2026-01-13 Pascal Viot , P. L. Krapivsky

This work discusses numerical studies of the barrier properties of k-mer packings by Monte Carlo method. The studied variants of regular and non-regular arrangements on a square lattice included models of random sequential adsorption (RSA)…

Statistical Mechanics · Physics 2015-06-15 N. Lebovka , S. Khrapatiy , Vygornitskyi , N. Pivovarova

In reconstituting k-mer models, extended objects which occupy several sites on a one dimensional lattice, undergo directed or undirected diffusion, and reconstitute -when in contact- by transferring a single monomer unit from one k-mer to…

Statistical Mechanics · Physics 2016-08-02 Amit Kumar Chatterjee , Bijoy Daga , P. K. Mohanty

We discuss the steady state dynamics of interfaces with periodic boundary conditions arising from body-centered solid-on-solid growth models in $1+1$ dimensions involving random aggregation of extended particles (dimers,…

Statistical Mechanics · Physics 2018-02-20 M. D. Grynberg , F. I. Schaposnik Massolo

Growth of hard--rod monolayers via deposition is studied in a lattice model using rods with discrete orientations and in a continuum model with hard spherocylinders. The lattice model is treated with kinetic Monte Carlo simulations and…

Soft Condensed Matter · Physics 2017-04-05 M. Klopotek , H. Hansen-Goos , M. Dixit , T. Schilling , F. Schreiber , M. Oettel

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

We study discrete KPZ growth models deposited on square lattice substrates, whose (average) lateral size enlarges as $L= L_0 + \omega t^{\gamma}$. Our numerical simulations reveal that the competition between the substrate expansion and the…

Statistical Mechanics · Physics 2022-06-22 Ismael S. S. Carrasco , Tiago J. Oliveira

Growth and roughness of the interface of deposited polymer chains driven by a field onto an impenetrable adsorbing surface are studied by computer simulations in (2+1) dimensions. The evolution of the interface width W shows a crossover…

Soft Condensed Matter · Physics 2007-05-23 Frank W. Bentrem , R. B. Pandey , Fereydoon Family

The effect of defects on the percolation of linear $k$-mers (particles occupying $k$ adjacent sites) on a square lattice is studied by means of Monte Carlo simulation. The $k$-mers are deposited using a random sequential adsorption…

Statistical Mechanics · Physics 2015-01-16 Yuri Yu. Tarasevich , Valeri V. Laptev , Nikolai V. Vygornitskii , Nikolai I. Lebovka

Characteristics of relaxed density profile and conformation of polymer chains are studied by a Monte Carlo simulation on a discrete lattice in three dimensions using different segmental (kink-jump $K$, crank-shaft $C$, reptation $R$)…

Soft Condensed Matter · Physics 2007-05-23 Frank W. Bentrem , Jun Xie , R. B. Pandey

The Kardar-Parisi-Zhang (KPZ) class is a paradigmatic example of universality in nonequilibrium phenomena, but clear experimental evidences of asymptotic 2D-KPZ statistics are still very rare, and far less understanding stems from its…

Statistical Mechanics · Physics 2017-06-26 R. A. L. Almeida , S. O. Ferreira , I. Ferraz , T. J. Oliveira

We show that the emergence of different surface patterns (ripples, dots) can be well understood by a suitable mapping onto the simplest nonequilibrium lattice gases and cellular automata.Using this efficient approach difficult, unanswered…

Statistical Mechanics · Physics 2014-01-21 Géza Ódor , Bartosz Liedke , Karl-Heinz Heinig , Jeffrey Kelling

We simulate competitive two-component growth on a one dimensional substrate of $L$ sites. One component is a Poisson-type deposition that generates Kardar-Parisi-Zhang (KPZ) correlations. The other is random deposition (RD). We derive the…

Materials Science · Physics 2009-02-01 A. Kolakowska , M. A. Novotny , P. S. Verma

We study the effects of generalised surface disorder on the monomer-monomer model of heterogeneous catalysis, where disorder is implemented by allowing different adsorption rates for each lattice site. By mapping the system in the…

Condensed Matter · Physics 2009-10-28 D. A. Head , G. J. Rodgers

We use numerical Monte Carlo simulation to study kinetics of deposition of oriented superdisks, bounded by the Lame curves of the form $|x|^{2p}+|y|^{2p}=1$, on regular planar substrate. It was recently shown that the maximum packing…

Soft Condensed Matter · Physics 2015-06-16 B. N. Aleksić , N. M. Švrakić , M. Belić
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