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The diffusion of two dimensional adatom islands (up to 100 atoms) on Cu(111) has been studied, using the self-learning Kinetic Monte Carlo (SLKMC) method [1]. A variety of multiple- and single-atom processes are revealed in the simulations,…

Materials Science · Physics 2015-05-30 Altaf Karim , Abdelkader Kara , Oleg Trushin , Talat S. Rahman

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…

The effects of adsorbates on nucleation and growth of two-dimensional islands is investigated by kinetic Monte Carlo simulations and rate equation theory. The variation of island morphology with adsorbate parameters is discussed and the…

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

We studied self-diffusion of small 2D Ni islands (consisting of up to 10 atoms) on Ni (111) surface using a self-learning kinetic Monte Carlo (SLKMC-II) method with an improved pattern-recognition scheme that allows inclusion of both fcc…

Materials Science · Physics 2013-08-09 Syed Islamuddin Shah , Giridhar Nandipati , Abdelkader Kara , Talat S. Rahman

The nucleation and growth of two--dimensional islands is studied with Monte Carlo simulations of a pair--bond solid--on--solid model of epitaxial growth. The conventional description of this problem in terms of a well--defined critical…

Condensed Matter · Physics 2009-10-28 C. Ratsch , P. Šmilauer , A. Zangwill , D. D. Vvedensky

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 use Monte-Carlo simulations to study island formation in the growth of thin semiconducting films deposited on lattice-mismatched substrates. It is known that islands nucleate with critical nuclei of about one atom and grow two…

Materials Science · Physics 2009-10-31 K. E. Khor , S. Das Sarma

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

We introduce an algorithm for treating growth on surfaces which combines important features of continuum methods (such as the level-set method) and Kinetic Monte Carlo (KMC) simulations. We treat the motion of adatoms in continuum theory,…

Materials Science · Physics 2009-11-10 G. Russo , L. M. Sander , P. Smereka

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

We examine the island size distribution function and spatial correlation function of a model for island growth in the submonolayer regime in both 1 and 2 dimensions. In our model the islands do not grow in shape, and a fixed number of…

Condensed Matter · Physics 2009-10-28 Ji Li , A. G. Rojo , Leonard M. Sander

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 shape evolution of two-dimensional islands under electromigration-driven periphery diffusion is studied by kinetic Monte Carlo (KMC) simulations and continuum theory. The energetics of the KMC model is adapted to the Cu(100) surface,…

Materials Science · Physics 2015-06-25 Marko Rusanen , Philipp Kuhn , Joachim Krug

Monte Carlo simulations of an atomistic solid-on-solid model are used to study the effect of lattice misfit on the distribution of two-dimensional islands sizes as a function of coverage $\Theta$ in the submonolayer aggregation regime of…

Condensed Matter · Physics 2009-10-22 C. Ratsch , A. Zangwill , P. Šmilauer

The Kinetic Monte Carlo (KMC) method has become an important tool for examination of phenomena like surface diffusion and thin film growth because of its ability to carry out simulations for time scales that are relevant to experiments. But…

Materials Science · Physics 2007-05-23 Talat S. Rahman , Abdelkader Kara , Altaf Karim , Oleg Trushin

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

We develop a statistical model describing the dynamics of magnetic islands in very large current layers that develop in space plasma. Two parameters characterize the island distribution: the flux contained in the island and the area it…

Plasma Physics · Physics 2015-05-14 R. L. Fermo , J. F. Drake , M. Swisdak

In this thesis we present a kinetic Monte Carlo model for the description of epitaxial graphene growth. Experimental results suggest a growth mechanism by which clusters of 5 carbon atoms are an intermediate species necessary for nucleation…

Mesoscale and Nanoscale Physics · Physics 2012-04-03 B. Monserrat

The steering effect on the growth of islands is investigated by combining molecular dynamics (MD) and kinetic Monte Carlo (KMC) simulations. Dynamics of depositing atoms and kinetics of atoms on a substrate are realized by MD and KMC,…

Materials Science · Physics 2009-11-07 Jikeun Seo , S. -M. Kwon , H. -Y. Kim , J. -S. Kim

In our earlier study of Ag island coarsening on Ag(111) surface using kinetic Monte Carlo (KMC) simulations we found that during early stages coarsening proceeds as a sequence of selected island sizes resulting in peaks and valleys in the…

Materials Science · Physics 2014-04-22 Giridhar Nandipati , Abdelkader Kara , Syed Islamuddin Shah , Talat S. Rahman
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