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Using computer simulations and scaling ideas, we study one-dimensional models of diffusion, aggregation and detachment of particles from islands in the post-deposition regime, i. e. without flux. The diffusion of isolated particles takes…

Statistical Mechanics · Physics 2015-06-25 Anna Chame , F. D. A. Aarao Reis

We reexamine the density of two dimensional islands in the submonolayer regime of a homoepitaxially growing surface using the coarse grained Monte Carlo simulation with random sequential updating rather than parallel updating. It turns out…

Statistical Mechanics · Physics 2015-06-25 H. Jeong , B. Kahng , D. E. Wolf

Irreversible growth of strained epitaxial nanoislands has been studied with the use of the kinetic Monte Carlo (KMC) technique. It has been shown that the strain-inducing size misfit between the substrate and the overlayer produces long…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Tokar V. I. , Dreyssé H

We present here a summary of some recent techniques used for atomistic studies of thin film growth and morphological evolution. Specific attention is given to a new kinetic Monte Carlo technique in which the usage of unique labeling schemes…

Materials Science · Physics 2009-11-11 Talat S. Rahman , Chandana Ghosh , Oleg Trushin , Abdelkader Kara , Altaf Karim

A solid-on-solid model is generalized to study the formation of Ge pyramid islands bounded by (105) facets on Si(100) substrates in two dimensions. Each atomic column is not only characterized by the local surface height but also by two…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Chi-Hang Lam

Nobel metals that are deposited on a polymer surface exhibit surface diffusion and diffusion into the bulk. At the same time the metal atoms tend to form clusters because their cohesive energy is about two orders of magnitude higher than…

Plasma Physics · Physics 2011-12-30 L. Rosenthal , A. Filinov , M. Bonitz , V. Zaporojtchenko , F. Faupel

We study the configurational structure of the point-island model for epitaxial growth in one dimension. In particular, we calculate the island gap and capture zone distributions. Our model is based on an approximate description of…

Statistical Mechanics · Physics 2012-03-12 Diego Luis Gonzalez Cabrera , Alberto Pimpinelli , T. L. Einstein

The morphological stability of two-dimensional islands nucleated on a substrate during vacuum or vapour-phase atom deposition is investigated. Using simple scaling arguments, it is shown that, contrary to expectation, dendritic islands may…

Statistical Mechanics · Physics 2007-05-23 Alberto Pimpinelli

We have performed Kinetic Monte Carlo simulation work to study the effect of diffusion anisotropy, bonding anisotropy and edge diffusion on island formation at different temperatures during the sub-monolayer film growth in Molecular Beam…

Materials Science · Physics 2019-12-13 Jagannath Devkota , Shankar P. Shrestha

Effect of an anisotropic detachment on a heteroepitaxial island shape is studied by means of a kinetic Monte Carlo simulation of a square lattice gas model. Only with molecular deposition followed by surface diffusion, islands grow in a…

Materials Science · Physics 2007-07-20 Yukio Saito , Ryo Kawasaki

We study the dislocation formation in 2D nanoscopic islands with two methods, the Molecular Static method and the Phase Field Crystal method. It is found that both methods indicate the same qualitative stages of the nucleation process. The…

Materials Science · Physics 2008-12-04 J. Jalkanen , O. Trushin , K. Elder , E. Granato , S. C. Ying , T. Ala-Nissila

We report on early stages of submonolayer Ag island coarsening on Ag(111) surface at room temperature ($300$ K) carried out using realistic kinetic Monte Carlo (KMC) simulations. We find that during early stages, coarsening proceeds as a…

Materials Science · Physics 2015-05-19 G. Nandipati , A. Kara , S. I. Shah , T. S. Rahman

We show that mean-field rate equations for submonolayer growth can successfully predict island size distributions in the pre-coalescence regime if the full dependence of capture numbers on both the island size and the coverage is taken into…

Statistical Mechanics · Physics 2015-05-19 Martin Körner , Mario Einax , Philipp Maass

In studies of island nucleation and growth, the distribution of capture zones, essentially proximity cells, can give more insight than island-size distributions. In contrast to the complicated expressions, ad hoc or derived from rate…

Statistical Mechanics · Physics 2009-10-27 Alberto Pimpinelli , T. L. Einstein

We have performed Kinetic Monte Carlo simulation to study the effect of diffusion anisotropy and bonding anisotropy on island formation at different temperatures during the sub-monolayer film growth in Molecular Beam Epitaxy. We use simple…

Materials Science · Physics 2019-12-11 Jagannath Devkota , Shankar P. Shrestha

The stationary distribution of the diffusion limit of the 2-island, 2-allele Wright-Fisher with small but otherwise arbitrary mutation and migration rates is investigated. Following a method developed by Burden and Tang (2016, 2017) for…

Populations and Evolution · Quantitative Biology 2018-09-27 Conrad J. Burden , Robert C. Griffiths

A bimodal size distribution of two dimensional islands is inferred during interface formation in heteroepitaxial growth of Bismuth Ferrite on (001) oriented SrTiO3 by sputter deposition. Features observed by in-situ x-ray scattering are…

Materials Science · Physics 2014-02-24 P. V. Chinta , R. L. Headrick

The Stranski-Krastanov growth kinetics of undislocated (coherent) 3-dimensional islands is studied with a self-consistent mean field rate theory that takes account of elastic interactions between the islands. The latter are presumed to…

Statistical Mechanics · Physics 2009-10-31 Hari M. Koduvely , Andrew Zangwill

We investigate island formation during heteroepitaxial growth using an atomistic model that incorporates deposition, activated diffusion and stress relaxation. For high misfit the system naturally evolves into a state characterized by a…

Statistical Mechanics · Physics 2009-10-30 Albert-László Barabási

The crystal size distribution in polynuclear growth is numerically studied using a coupled map lattice model. The width of the size distribution depends on c/D, where c is the growth rate at interface sites and $D$ is the diffusion…

Materials Science · Physics 2015-06-11 Hidetsugu Sakaguchi , Takuma Ohishi