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The nucleation and growth of two--dimensional islands is studied with Monte Carlo simulations of a pair--bond solid--on--solid model of epitaxial growth. The conventional description of this problem in terms of a well--defined critical…

Condensed Matter · Physics 2009-10-28 C. Ratsch , P. Šmilauer , A. Zangwill , D. D. Vvedensky

Models based on surfactant driven instabilities have been employed to describe pattern formation by swarming bacteria. However, by definition, such models cannot account for the effect of bacterial sensing and decision making. Here we…

During epitaxial crystal growth a pattern that has initially been imprinted on a surface approximately reproduces itself after the deposition of an integer number of monolayers. Computer simulations of the one-dimensional case show that the…

Statistical Mechanics · Physics 2009-10-30 Harald Kallabis , Dietrich E. Wolf

We present a dynamical model of crystal growth, in which it is possible to reliably achieve asymmetric products, beginning from symmetric initial conditions and growing within an isotropic environment. The asymmetric growth is the result of…

Statistical Mechanics · Physics 2025-03-20 Sam Oaks-Leaf , David T. Limmer

We investigated the effect of surfactants on an interface between two kinds of liquid by molecular dynamics simulation. We adopted the simple bead-spring model with two atoms as the surfactants. We controlled the interfacial tension of the…

Statistical Mechanics · Physics 2024-10-14 Shunta Kikuchi , Hiroshi Watanabe

Cooled oil emulsion droplets in aqueous surfactant solution have been observed to flatten into a remarkable host of polygonal shapes with straight edges and sharp corners, but different driving mechanisms - (i) a partial phase transition of…

Soft Condensed Matter · Physics 2019-09-25 Pierre A. Haas , Diana Cholakova , Nikolai Denkov , Raymond E. Goldstein , Stoyan K. Smoukov

A progress report on two recent theoretical approaches proposed to understand the physics of irreversible fractal aggregates showing up a structural transition from a rather dense to a more multibranched growth is presented. In the first…

Condensed Matter · Physics 2008-08-31 E. Canessa

Superficial (two dimensional) crack patterns appear when a thin layer of material elastically attached to a substrate contracts. We study numerically the maturation process undergone by these crack patterns when they are allowed to adapt in…

Statistical Mechanics · Physics 2009-11-10 E. A. Jagla

Stochastic simulation results, appropriate for Molecular Beam Epitaxy, involving ballistic deposition and thermally activated Arrhenius diffusion of adatoms are presented for one- and two-dimensional substrates, allowing for overhangs and…

Condensed Matter · Physics 2007-05-23 S. DasSarma , C. J. Lanczycki , S. V. Ghaisas , J. M. Kim

We discuss effects of the different chemical bondings on the island morphology and on the island density scaling in two-component submonolayer growth. Different regimes depending on the strength of the mutual interactions and on the…

Materials Science · Physics 2007-05-23 Miroslav Kotrla , Joachim Krug

A strained epitaxial film deposited on a deformable substrate undergoes a morphological instability relaxing the elastic energy by surface diffusion. The nonlinear and nonlocal dynamical equations of such films with wetting interactions are…

Statistical Mechanics · Physics 2011-11-16 Jean-Noel Aqua , Thomas Frisch , Alberto Verga

The purpose of this paper is to report some new experimental and theoretical results about the analysis of in-plane lattice spacing oscillations during two-dimensional (2D) homo and hetero epitaxial growth. The physical origin of these…

Materials Science · Physics 2015-05-13 P. Muller , P. turban , L. Lapena , S. Andrieu

Impact of a droplet on an undercooled surface is a complex phenomenon as it simultaneously instigates several physical processes that cover a broad spectrum of transport phenomena and phase-transition. Here, we report and explain an…

Fluid Dynamics · Physics 2020-11-04 Pallav Kant , Henrik Müller-Groeling , Detlef Lohse

A first-principles statistical theory is constructed for the evolution of two dimensional interfaces in Laplacian fields. The aim is to predict the pattern that the growth evolves into, whether it becomes fractal and if so the…

Condensed Matter · Physics 2008-02-03 Raphael Blumenfeld

Computer simulations and scaling theory are used to investigate the damping of oscillations during epitaxial growth on high-symmetry surfaces. The crossover from smooth to rough growth takes place after the deposition of (D/F)^\delta…

Statistical Mechanics · Physics 2007-05-23 H. Kallabis , L. Brendel , P. Smilauer , J. Krug , D. E. Wolf

One of the most interesting phenomena in the soft-matter realm consists in the spontaneous formation of super-molecular structures (microphases) in condition of thermodynamic equilibrium. A simple mechanism responsible for this…

Soft Condensed Matter · Physics 2017-08-23 A. Imperio , D. Pini , L. Reatto

A MonteCarlo simulations study has been performed in order to study the effect of Pb as surfactant on the initial growth stage of Co/Cu(111). The main characteristics of Co growing over Cu(111) face, i.e. the decorated double layer steps,…

Statistical Mechanics · Physics 2009-11-07 Liliana Gomez , Julio Ferron

Island formation in strain-free heteroepitaxial deposition of thin films is analyzed using kinetic Monte Carlo simulations of two minimal lattice models and scaling approaches. The transition from layer-by-layer (LBL) to island (ISL) growth…

Adding sand grains at a single site in Abelian sandpile models produces beautiful but complex patterns. We study the effect of sink sites on such patterns. Sinks change the scaling of the diameter of the pattern with the number $N$ of sand…

Statistical Mechanics · Physics 2010-10-01 Tridib Sadhu , Deepak Dhar

We investigate the influence of intermixing on heteroepitaxial growth dynamics, using a two-dimensional point island model, expected to be a good approximation in the early stages of epitaxy. In this model, which we explore both…

Statistical Mechanics · Physics 2015-06-22 K. I. Mazzitello , L. M. Delgado , J. L. Iguain