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Related papers: Submonolayer Epitaxy Without A Critical Nucleus

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We study the dynamics of island nucleation in the presence of adsorbates using kinetic Monte Carlo simulations of a two-species growth model. Adatoms (A-atoms) and impurities (B-atoms) are codeposited, diffuse and aggregate subject to…

Materials Science · Physics 2009-10-31 Miroslav Kotrla , Joachim Krug , Pavel Smilauer

We study statistical properties of the Kolmogorov-Avrami-Johnson-Mehl nucleation-and-growth model in one dimension. We obtain exact results for the gap density as well as the island distribution. When all nucleation events occur…

Condensed Matter · Physics 2009-10-28 E. Ben-Naim , P. L. Krapivsky

A model that describes self diffusion, island nucleation and film growth on FCC(001) metal substrates is presented. The parameters of the model are optimized to describe Cu diffusion on Cu(001), by comparing activation energy barriers to a…

Materials Science · Physics 2008-02-03 O. Biham , I. Furman , M. Karimi , G. Vidali , R. Kennett , H. Zeng

Point island models (PIMs) are presented for the formation of supported nanoclusters (or islands) during deposition on flat crystalline substrates at lower submonolayer coverages. These models treat islands as occupying a single adsorption…

Mesoscale and Nanoscale Physics · Physics 2016-07-07 Y. Han , E. Gaudry , T. J. Oliveira , J. W. Evans

The self-consistency of the distributional fixed-point equation (DFPE) approach to understanding the statistical properties of island nucleation and growth during submonolayer deposition is explored. We perform kinetic Monte Carlo…

Mesoscale and Nanoscale Physics · Physics 2018-11-21 Hrvojka Krcelic , Michael Grinfeld , Paul Mulheran

A model of submonolayer thin film growth is studied, where the attachment of atoms to island edges is hindered by an energy barrier. A novel behavior of the density of islands, N_s, is predicted as a function of flux F and temperature T.…

Materials Science · Physics 2009-10-31 Daniel Kandel

Island size and capture zone distributions (ISDs, CZDs) are studied numerically in submonolayer growth with various critical island sizes and shapes. CZDs scaled by the variance show excellent agreement with the Wigner surmise, confirming…

Statistical Mechanics · Physics 2011-09-23 T. J. Oliveira , F. D. A. Aarao Reis

The growth and ordering of a Pb layer deposited on Cu(001) at 150 K has been studied using atom beam scattering. At low coverage, ordered Pb islands with a large square unit cell and nearly hexagonal internal structure are formed. This is a…

Condensed Matter · Physics 2009-10-22 Wei Li , Gianfranco Vidali , Ofer Biham

We investigate submonolayer epitaxial growth with a fixed monomer flux and irreversible aggregation of adatom islands due to their effective diffusion. When the diffusivity D_k of an island of mass k is proportional to k^{-\mu}, a…

Statistical Mechanics · Physics 2009-10-30 P. L. Krapivsky , J. F. F. Mendes , S. Redner

The rate of second layer nucleation -- the formation of a stable nucleus on top of a two-dimensional island -- determines both the conditions for layer-by-layer growth, and the size of the top terrace of multilayer mounds in…

Materials Science · Physics 2007-05-23 J. Krug , P. Kuhn

We investigate the kinetics of submonolayer epitaxial growth which is driven by a fixed flux of monomers onto a substrate. Adatoms diffuse on the surface, leading to irreversible aggregation of islands. We also account for the effective…

Statistical Mechanics · Physics 2009-10-31 P. L. Krapivsky , J. F. F. Mendes , S. Redner

We study one-dimensional models of particle diffusion and attachment/detachment from islands where the detachment rates gamma(m) of particles at the cluster edges increase with cluster mass m. They are expected to mimic the effects of…

Statistical Mechanics · Physics 2009-11-13 R. B. Stinchcombe , F. D. A. Aarão Reis

Deposition/removal of metal atoms on the hex reconstructed (100) surface of Au, Pt and Ir should present intriguing aspects, since a new island implies hex -> square deconstruction of the substrate, and a new crater the square -> hex…

Materials Science · Physics 2009-10-31 D. Passerone , F. Ercolessi , E. Tosatti

Graphene, a flat monolayer of carbon atoms packed tightly into a two dimensional hexagonal lattice, has unusual electronic properties which have many promising nanoelectronic applications. Recent Low Energy Electron Microscopy (LEEM)…

Materials Science · Physics 2016-02-05 J H Lloyd-Williams

We investigate the influence of intermixing on heteroepitaxial growth dynamics, using a two-dimensional point island model, expected to be a good approximation in the early stages of epitaxy. In this model, which we explore both…

Statistical Mechanics · Physics 2015-06-22 K. I. Mazzitello , L. M. Delgado , J. L. Iguain

We present Monte Carlo simulations for the size and temperature dependence of the diffusion coefficient of adatom islands on the Cu(100) surface. We show that the scaling exponent for the size dependence is not a constant but a decreasing…

Materials Science · Physics 2009-10-31 J. Heinonen , I. Koponen , J. Merikoski , T. Ala-Nissila

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

The effect of impurities on epitaxial growth in the submonolayer regime is studied using kinetic Monte Carlo simulations of a two-species solid-on-solid growth model. Both species are mobile, and attractive interactions among adatoms and…

Materials Science · Physics 2007-05-23 Miroslav Kotrla , Joachim Krug , Pavel Smilauer

We describe a theoretical study of the role of adsorbate interactions in island nucleation and growth, using Ag/Pt(111) heteroepitaxy as an example. From density-functional theory, we obtain the substrate-mediated Ag adatom pair interaction…

Materials Science · Physics 2009-10-31 Kristen A. Fichthorn , Matthias Scheffler

The typical island distance $\ell$ in submonlayer epitaxial growth depends on the growth conditions via an exponent $\gamma$. This exponent is known to depend on the substrate dimensionality, the dimension of the islands, and the size $i^*$…

Statistical Mechanics · Physics 2016-08-31 Harald Kallabis , Paul L. Krapivsky , Dietrich E. Wolf