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Related papers: Epitaxial growth under oblique incidence

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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 effects of shadowing in oblique incidence metal (100) epitaxial growth are studied using a simplified model. We find that many of the features observed in Cu(100) growth, including the existence of a transition from anisotropic mounds…

Materials Science · Physics 2009-11-11 Yunsic Shim , Jacques G. Amar

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 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

A solid-on-solid model of epitaxial growth in 1+1 dimensions is investigated in which slope dependent upward and downward particle currents compete on the surface. The microscopic mechanisms which give rise to these currents are the…

Statistical Mechanics · Physics 2009-11-07 M. Biehl , M. Ahr , M. Kinne , W. Kinzel , S. Schinzer

We study the coarsening of two-dimensional oblique stripe patterns by numerically solving potential and nonpotential anisotropic Swift-Hohenberg equations. Close to onset, all models exhibit isotropic coarsening with a single characteristic…

Soft Condensed Matter · Physics 2009-11-13 J. R. Gomez-Solano , D. Boyer

We study unstable epitaxy on singular surfaces using continuum equations with a prescribed slope-dependent surface current. We derive scaling relations for the late stage of growth, where power law coarsening of the mound morphology is…

Statistical Mechanics · Physics 2009-10-28 Martin Rost , Joachim Krug

In this work, a study of epitaxial growth was carried out by means of wavelets formalism. We showed the existence of a dynamic scaling form in wavelet discriminated linear MBE equation where diffusion and noise are the dominant effects. We…

Materials Science · Physics 2009-11-13 Z. Moktadir

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

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 dynamic effects, such as the steering and the screening effects during deposition, on an epitaxial growth (Cu/Cu(001)), is studied by kinetic Monte Carlo simulation that incorporates molecular dynamic simulation to rigorously take the…

Materials Science · Physics 2016-08-31 Jikeun Seo , Hye-Young Kim , J. -S. Kim

The paper presents results from kinetic Monte Carlo simulations of kinetic surface roughening using an important and experimentally relevant model of epitaxial growth -- the solid-on-solid model with Arrhenius dynamics. A restriction on…

Materials Science · Physics 2014-08-15 Petar P. Petrov , Daniela Gogova

As an introductory lecture to the workshop an overview is given over continuum models for homoepitaxial surface growth using partial differential equations (PDEs). Their {\em heuristic derivation} makes use of inherent symmetries in the…

Materials Science · Physics 2007-05-23 Martin Rost

We study, through large scale stochastic simulations using the noise reduction technique, a large number of simple nonequilibrium limited mobility solid-on-solid growth models. We find that d=2+1 dimensional surface growth in several noise…

Statistical Mechanics · Physics 2007-05-23 P. Punyindu , Z. Toroczkai , S. Das Sarma

We study a class of one-dimensional, nonequilibrium, conserved growth equations for both nonconserved and conserved noise statistics using numerical integration. An atomistic version of these growth equations is also studied using…

Statistical Mechanics · Physics 2007-05-23 Buddhapriya Chakrabarti , Chandan Dasgupta

Surface growth models may give rise to unstable growth with mound formation whose tipical linear size L increases in time. In one dimensional systems coarsening is generally driven by an attractive interaction between domain walls or kinks.…

Statistical Mechanics · Physics 2007-05-23 Alessandro Torcini , Paolo Politi

We have developed a continuum model that explains the complex surface shapes observed in epitaxial regrowth on micron scale gratings. This model describes the dependence of the surface morphology on film thickness and growth temperature in…

Materials Science · Physics 2007-05-23 A. Ballestad , T. Tiedje , J. H. Schmid , B. J. Ruck , M. Adamcyk

Frank's prediction of the spiral growth mode in 1949 defined a pivotal moment in the history of crystal growth. In recent decades the topic has received less attention, and instead we have seen a resurrection of two-dimensional nucleation…

Materials Science · Physics 2008-03-20 Joachim Krug

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
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