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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

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 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

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

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 propose deposition noise to be an important factor in unstable epitaxial growth of thin films. Our analysis yields a geometrical relation H=(RWL)^2 between the typical mound height W, mound size L, and the film thickness H. Simulations…

Materials Science · Physics 2009-10-30 L. -H. Tang , P. Smilauer , D. D. Vvedensky

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 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

A theoretical framework is developed to describe experiments on the structure of epitaxial thin films, particularly niobium on sapphire. We extend the hypothesis of dynamical scaling to apply to the structure of thin films from its…

Statistical Mechanics · Physics 2009-11-07 Anita Mehta , R. A. Cowley

\emph{Wolf-Villain (WV) model} is a simple model used to study \emph{ideal} molecular beam epitaxy (MBE) growth by using computer simulations. In this model, an adatom diffuses instantaneously within a finite diffusion length to maximize…

Statistical Mechanics · Physics 2020-10-12 Rachan Rangdee , Patcha Chatraphorn

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 show that a multiple hit noise reduction technique involving the acceptance of only a fraction of the allowed atomistic deposition events could, by significantly suppressing the formation of high steps and deep grooves, greatly…

Statistical Mechanics · Physics 2009-10-31 P. Punyindu , S. Das Sarma

We demonstrate, using well-established nonequilibrium limited-mobility solid-on-solid growth models, that mound formation in the dynamical surface growth morphology does not necessarily imply the existence of a surface edge diffusion bias…

Statistical Mechanics · Physics 2009-10-31 S. Das Sarma , P. Punyindu , Z. Toroczkai

We study the temporal growth pattern of surface fluctuations on a series of spinodally unstable polymer films where the degree of instability is controlled by the film thickness. For films in the deep spinodal region, the growth rate…

Materials Science · Physics 2007-05-23 Y. J. Wang , Ophelia K. C. Tsui

We study, using noise reduction techniques, layer by layer epitaxial growth in limited mobility solid-on-solid nonequilibrium surface growth models, which have been introduced in the context of kinetic surface roughening in ideal molecular…

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

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

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

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

Taking into account the occurrence of a zero of the surface diffusion current and the requirement of the Ehrlich-Schwoebel effect, Siegert et al \cite{Siegert94} formulate a model of Langevin type that describes the growth of pyramidlike…

Dynamical Systems · Mathematics 2011-02-07 Jun Zhang , Peicheng Zhu

We demonstrate, using well-established nonequilibrium growth models, that mound formation in the dynamical surface growth morphology does not necessarily imply a surface edge diffusion bias (the Schwoebel barrier) as has been almost…

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