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Related papers: Spiral growth, two-dimensional nucleation, and the…

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The growth of spiral mounds containing a screw dislocation is compared to the growth of wedding cakes by two-dimensional nucleation. Using phase field simulations and homoepitaxial growth experiments on the Pt(111) surface we show that both…

Materials Science · Physics 2008-03-20 A. Redinger , O. Ricken , P. Kuhn , A. Raetz , A. Voigt , J. Krug , T. Michely

The formation of three-dimensional structures during the epitaxial growth of films is associated to the reflection of diffusing particles in descending terraces due to the presence of the so-called Ehrlich-Schwoebel (ES) barrier. We…

Statistical Mechanics · Physics 2011-09-23 F. F. Leal , T. J. Oliveira , S. C. Ferreira

The morphological development of step edge patterns in the presence of meandering instability during step flow growth is studied by simulations and numerical integration of a continuum model. It is demonstrated that the kink…

Materials Science · Physics 2009-11-07 M. Rusanen , I. T. Koponen , T. Ala-Nissila , C. Ghosh , T. S. Rahman

A discrete solid-on-solid model of epitaxial growth is introduced which, in a simple manner, takes into account the effect of an Ehrlich-Schwoebel barrier at step edges as well as the local relaxation of incoming particles. Furthermore a…

Condensed Matter · Physics 2009-10-30 M. Biehl , W. Kinzel , S. Schinzer

The growth of a crystal is usually determined by its surface. Many factors influence the growth dynamics. Energy barriers associated with the presence of steps most often decide about the emerging pattern. The height and type of…

Materials Science · Physics 2023-12-08 Marta Anna Chabowska , Magdalena A. Załuska-Kotur

The formation of mounded surfaces in epitaxial growth is attributed to the presence of barriers against interlayer diffusion in the terrace edges, known as Ehrlich-Schwoebel (ES) barriers. We investigate a model for epitaxial growth using a…

Statistical Mechanics · Physics 2015-03-13 F. F. Leal , S. C. Ferreira , S. O. Ferreira

We examine the step dynamics in a 1+1 dimensional model of epitaxial growth based on the BCF-theory. The model takes analytically into account the diffusion of adatoms, an incorporation mechanism and an Ehrlich-Schwoebel barrier at step…

Statistical Mechanics · Physics 2009-10-31 S. Schinzer , S. Köhler , G. Reents

The random deposition model must be enriched to reflect the variety of surface roughness due to some material characteristics of the film growing by vacuum deposition or sputtering. The essence of the computer simulation in this case is to…

Condensed Matter · Physics 2007-05-23 K. Malarz , A. Z. Maksymowicz

Recently, the nucleation rate on top of a terrace during the irreversible growth of a crystal surface by MBE has been determined exactly. In this paper we go beyond the standard model usually employed to study the nucleation process, and we…

Materials Science · Physics 2007-05-23 Paolo Politi , Claudio Castellano

Epitaxial growth on a surface vicinal to a high-symmetry crystallographic plane occurs through the propagation of atomic steps, a process called step-flow growth. In some instances, the steps tend to form close groups (or bunches), a…

Materials Science · Physics 2021-08-25 L. Guin , M. E. Jabbour , N. Triantafyllidis

We report the results of computer simulations of epitaxial growth in the presence of a large Schwoebel barrier on different crystal surfaces: simple cubic(001), bcc(001), simple hexagonal(001) and hcp(001). We find, that mounds coarse by a…

Statistical Mechanics · Physics 2009-10-31 M. Ahr , M. Biehl , M. Kinne , W. Kinzel

A continuum one dimensional model of homoepitaxial growth under oblique incidence is investigated. We carried out numerical integration of a continuum equation incorporating a shadowing search algorithm. The interplay between the…

Materials Science · Physics 2008-09-19 Z. Moktadir

The role of step edge diffusion (SED) in epitaxial growth is investigated. To this end we revisit and extend a recently introduced simple cubic solid-on-solid model, which exhibits the formation and coarsening of pyramid or mound like…

Statistical Mechanics · Physics 2009-10-31 S. Schinzer , M. Kinne , M. Biehl , W. Kinzel

The meander instability of a vicinal surface growing under step flow conditions is studied within a solid-on-solid model. In the absence of edge diffusion the selected meander wavelength agrees quantitatively with the continuum linear…

Statistical Mechanics · Physics 2009-11-07 Jouni Kallunki , Joachim Krug , Miroslav Kotrla

The growth of crystal surfaces, under non-equilibrium conditions, involves the displacement of mono-atomic steps by atom diffusion and atom incorporations into steps. The time-evolution of the growing crystal surface is thus governed by a…

Materials Science · Physics 2009-11-11 Thomas Frisch , Alberto Verga

This paper concerns new continuum phenomenological model for epitaxial thin film growth with three different forms of the Ehrlich-Schwoebel current. Two of these forms were first proposed by Politi and Villain [1996] and then studied by…

Numerical Analysis · Mathematics 2015-08-20 Wenbin Chen , Zhenhua Chen , Jin Cheng , Yanqiu Wang

Several aspects of the theory of epitaxial crystal growth from atomic or molecular beams are developed from the perspective of statistical physics. Lectures are devoted to the rate equation theory of two-dimensional nucleation and its…

Statistical Mechanics · Physics 2009-11-07 Joachim Krug

We study the onset and development of ledge instabilities during growth of vicinal metal surfaces using kinetic Monte Carlo simulations. We observe the formation of periodic patterns at [110] close packed step edges on surfaces vicinal to…

Condensed Matter · Physics 2009-11-07 M. Rusanen , I. T. Koponen , J. Heinonen , T. Ala-Nissila

The stability of organic solar cells is strongly affected by the morphology of the photoactive layers, whose separated crystalline and/or amorphous phases are kinetically quenched far from their thermodynamic equilibrium during the…

Materials Science · Physics 2020-03-31 Olivier J. J. Ronsin , Jens Harting

The energetically driven Ehrlich-Schwoebel (ES) barrier had been generally accepted as the primary cause of the growth instability in the form of quasi-regular mound-like structures observed on the surface of thin film grown via molecular…

Materials Science · Physics 2015-05-18 Wittawat Kanjanaput , Surachate Limkumnerd , Patcha Chatraphorn
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