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Related papers: Capture numbers and islands size distributions in …

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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

Using a set of evolution equations [J.G. Amar {\it et al}, Phys. Rev. Lett. {\bf 86}, 3092 (2001)] for the average gap-size between islands, we calculate analytically the asymptotic scaled capture-number distribution (CND) for…

Materials Science · Physics 2009-11-10 J. G. Amar , M. N. Popescu

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

We consider the influence of realistic island diffusion rates to homoepitaxial growth on metallic surfaces using a recently developed rate equation model which describes growth in the submonolayer regime with hyperthermal deposition. To…

Materials Science · Physics 2015-06-25 M. O. Jahma , M. Rusanen , A. Karim , I. T. Koponen , T. Ala-Nissila , T. S. Rahman

The distribution of capture zones formed during the nucleation and growth of point islands on a one-dimensional substrate during monomer deposition is considered for general critical island size $i$. A fragmentation theory approach yields…

Adaptation and Self-Organizing Systems · Physics 2015-05-28 M. Grinfeld , W. Lamb , P. A. Mulheran , K. P. O'Neill

We use a multiscale approach to study a lattice-gas model of submonolayer growth of Fe/Mo(110) by Molecular Beam Epitaxy. To begin with, we construct a two-dimensional lattice-gas model of the Fe/Mo(110) system based on first-principles…

Materials Science · Physics 2015-06-12 M. Mašín , M. Kotrla , B. Yang , M. Asta , M. O. Jahma , T. Ala-Nissila

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

The distributions of inter-island gaps and captures zones for islands nucleated on a one-dimensional substrate during submonolayer deposition are considered using a novel retrospective view. This provides an alternative perspective on why…

Statistical Mechanics · Physics 2015-03-20 Paul A. Mulheran , Kenneth P. O'Neill , Michael Grinfeld , Wilson Lamb

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

Using kinetic Monte Carlo simulations, we develop a framework to relate morphological properties and microscopic dynamics during island growth, coalescence, and initial formation of continuous heteroepitaxial films. The average island width…

Materials Science · Physics 2021-07-22 Tung B. T. To , Renan A. L. Almeida , Sukarno O. Ferreira , Fábio D. A. Aarão Reis

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

Simulations of irreversible growth of extended (fractal and square) islands with critical island sizes i=1 and 2 are performed in broad ranges of coverage \theta and diffusion-to-deposition ratios R in order to investigate scaling of island…

Statistical Mechanics · Physics 2012-09-05 T. J. Oliveira , F. D. A. Aarao Reis

We report simulations of submonolayer epitaxial growth using a continuum phase field model. The island density and the island size distribution both show scaling behavior. When the capillary length is small, the island size distribution is…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Fan Ming , Andrew Zangwill

We simulated the growth of 2D islands with 2 kinds of diffusion atoms using the kinetic Monte- Carlo (kMC) method. As a result, we found that the slow atoms tend to create nuclei and determine the island volume distribution, along with…

Atomic and Molecular Clusters · Physics 2015-03-17 R. Yamauchi , X. M. Lu , M. Koyama , H. Sasakura , Y. Nakata , S. Muto

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

The scaling of island and monomer density, capture zone distributions (CZDs), and island size distributions (ISDs) in reversible submonolayer growth was studied using the Clarke-Vvedensky model. An approach based on rate-equation results…

Statistical Mechanics · Physics 2013-06-28 T. J. Oliveira , F. D. A. Aarao Reis

Precise control over thin film morphology is critical for optimizing material properties across diverse technological applications, as the growth mode (whether 2D layer-by-layer or 3D island formation)determines key functional properties…

Materials Science · Physics 2025-11-21 Samuel Aldana , Michael Nolan

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

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

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
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