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Related papers: Noise-assisted Mound Coarsening in Epitaxial Growt…

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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 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

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 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

Homoepitaxial growth is unstable towards the formation of pyramidal mounds when interlayer transport is reduced due to activation barriers to hopping at step edges. Simulations of a lattice model and a continuum equation show that a small…

Statistical Mechanics · Physics 2009-10-31 Pavel Smilauer , Martin Rost , Joachim Krug

The formation of pyramid-like structures in thin-film growth on substrates with a quadratic symmetry, e.g., {001} surfaces, is shown to exhibit anisotropic scaling as there exist two length scales with different time dependences. Analytical…

Statistical Mechanics · Physics 2009-10-31 Martin Siegert

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

In this article we study a model from epitaxial thin-film growth. It was originally introduced as a phenomenological model of growth in the presence of a Schwoebbel barrier, where diffusing particles on a terrace are not allowed to jump…

Probability · Mathematics 2023-09-25 Dirk Blömker , Johannes Rimmele

The roughness of vapor-deposited thin films can display a nonmonotonic dependence on film thickness, if the smoothening of the small-scale features of the substrate dominates over growth-induced roughening in the early stage of evolution.…

Statistical Mechanics · Physics 2009-10-31 Claudio Castellano , Joachim Krug

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

The coarsening dynamics of three-dimensional islands on a growing film is discussed. It is assumed that the origin of the initial instability of a planar surface is the Ehrlich-Schwoebel step-edge barrier for adatom diffusion. Two…

Statistical Mechanics · Physics 2015-06-25 Lei-Han Tang

In this paper a simple (2+1) solid-on-solid model of the epitaxial films growth based on random deposition followed by breaking particle-particle lateral bonds and particles surface diffusion is introduced. The influence of the critical…

Materials Science · Physics 2007-05-23 R. Kosturek , K. Malarz

Crystal surfaces may undergo thermodynamical as well kinetic, out-of-equilibrium instabilities. We consider the case of mound and pyramid formation, a common phenomenon in crystal growth and a long-standing problem in the field of pattern…

Statistical Mechanics · Physics 2012-08-30 Sofia Biagi , Chaouqi Misbah , Paolo Politi

A computer simulation model is proposed to study film growth and surface roughness in aqueous ($A$) solution of hydrophobic ($H$) and hydrophilic ($P$) groups on a simple three dimensional lattice of size $L_x \times L_y \times L_z$ with an…

Soft Condensed Matter · Physics 2007-05-23 Shihai Yang , Adam Seyfarth , Sam Bateman , Ras B. Pandey

The mechanisms of stability or instability in the strained alloy film growth are of intense current interest to both theorists and experimentalists. We consider dislocation-free, coherent, growing alloy films which could exhibit a…

Statistical Mechanics · Physics 2009-11-07 Zhi-Feng Huang , Rashmi C. Desai

The effects of growth rate (G_r), deposition temperature (T_d), film thickness (t_F), and substrate induced strain (epsilon) on morphological, crystallographic and magnetic characteristics of equiatomic CoPt epitaxial films synthesized with…

Materials Science · Physics 2009-11-13 R. K. Rakshit , S. K. Bose , R. Sharma , R. C. Budhani , T. Vijaykumar , S. J. Neena , G. U. Kulkarni

The evolution of the microstructure due to spinodal decomposition in phase separated mixtures has a strong impact on the final material properties. In the late stage of coarsening, the system is characterized by the growth of a single…

Soft Condensed Matter · Physics 2021-12-09 Björn König , Olivier J. J. Ronsin , Jens Harting

Electrons levitating above the surface of solid neon have recently emerged as a promising platform for high-quality qubits. The morphology and uniformity of the neon growth in these systems is crucial for qubit performance in a scalable…

Mesoscale and Nanoscale Physics · Physics 2025-11-19 Kyle Matkovic , Patrick Russell , Andrew Palmer , Eric Helgemo , Lukas Delventhal , Kun Zuo , Kundan Surse , Rajib Rahman , Maja C. Cassidy

Epitaxial copper thin films were deposited by magnetron sputtering. The adatoms during deposition are influenced by deposition parameters which cause variations in thin film properties. XRD and FESEM studies were done to get an insight into…

Materials Science · Physics 2015-09-22 A. S. Bhattacharyya , S. Kumar , S. Jana , P. Y. Kommu , K. Gaurav , S. Prabha , V. S. Kujur , P. Bharadwaj

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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