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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

Diffusion of small two dimensional Cu islands (containing up to 10 atoms) on Cu(111) has been studied using the newly developed self-learning Kinetic Monte Carlo SLKMC method. It is based on a database of diffusion processes and their…

We study the energetics of island formation in Stranski-Krastanow growth within a parameter-free approach. It is shown that an optimum island size exists for a given coverage and island density if changes in the wetting layer morphology…

Materials Science · Physics 2009-10-31 L. G. Wang , P. Kratzer , M. Scheffler , N. Moll

We present exact results for a lattice model of cluster growth in 1D. The growth mechanism involves interface hopping and pairwise annihilation supplemented by spontaneous creation of the stable-phase, +1, regions by overturning the…

Condensed Matter · Physics 2014-10-13 Vladimir Privman

The purpose of this paper is to report some new experimental and theoretical results about the analysis of in-plane lattice spacing oscillations during two-dimensional (2D) homo and hetero epitaxial growth. The physical origin of these…

Materials Science · Physics 2015-05-13 P. Muller , P. turban , L. Lapena , S. Andrieu

In this paper we report simulation studies of equilibrium features, namely circular islands on model surfaces, using Monte-Carlo methods. In particular, we are interested in studying the relationship between the density of vapour around a…

Condensed Matter · Physics 2009-10-28 Badrinarayan Krishnamachari , James McLean , Barbara Cooper , James Sethna

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 exclusion process in which particles may jump any distance l>=1 with the probability that decays as l^-(1+sigma) is studied from coarse-grained equation for density profile in the limit when the lattice spacing goes to zero. For…

Statistical Mechanics · Physics 2008-05-16 J. Szavits-Nossan , K. Uzelac

We generalize the level set approach to model epitaxial growth to include thermal detachment of atoms from island edges. This means that islands do not always grow and island dissociation can occur. We make no assumptions about a critical…

Materials Science · Physics 2009-11-07 M. Petersen , C. Ratsch , R. E. Caflisch , A. Zangwill

The phase space for Hamiltonians of two degrees of freedom is usually divided into stochastic and integrable components. Even when well into the stochastic regime, integrable orbits may surround small stable regions or islands. The effect…

Chaotic Dynamics · Physics 2007-05-23 Charles F. F. Karney

The effects of cluster diffusion on the submonolayer island density and island-size distribution are studied for the case of irreversible growth of compact islands on a 2D substrate. In our model, we assume instantaneous coalescence of…

Materials Science · Physics 2015-05-27 Yevgen A. Kryukov , Jacques G. Amar

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 study the relaxation to equilibrium of two dimensional islands containing up to 20000 atoms by Kinetic Monte Carlo simulations. We find that the commonly assumed relaxation mechanism - curvature-driven relaxation via atom diffusion -…

We develop a theory for nucleation on top of islands in epitaxial growth based on the derivation of lifetimes and rates governing individual microscopic processes. These processes are strongly affected by the additional step edge barrier…

Materials Science · Physics 2009-10-31 S. Heinrichs , J. Rottler , Ph. Maass

We have studied the island size distribution and spatial correlation function of an island growth model under the effect of an elastic interaction of the form $1/r^{3}$. The mass distribution $P_n(t)$ that was obtained presents a pronounced…

Materials Science · Physics 2009-11-07 B. M. T. Goncalves , J. F. F. Mendes

We discuss effects of the different chemical bondings on the island morphology and on the island density scaling in two-component submonolayer growth. Different regimes depending on the strength of the mutual interactions and on the…

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

The effects of mobility of small islands on island growth in molecular beam epitaxy are studied. It is shown that small island mobility affects both the scaling and morphology of islands during growth. Three microscopic models are…

Materials Science · Physics 2009-10-28 I. Furman , O. Biham

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 effect of edge and corner diffusions on the morphology and on the density of islands nucleated irreversibly on a flat substrate surface is studied. Without edge and corner diffusion, islands are fractal. As an edge diffusion constant…

Materials Science · Physics 2007-07-20 Yukio Saito

The work shows that a single elongated island immersed in the quasi-neutral current sheet makes it MHD unstable. Typical values of growth rate are found to be several per cent of inverse Alfven time for broad sheets. Hall dynamics greatly…

Plasma Physics · Physics 2017-12-06 I F Shaikhislamov