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We study conserved one-dimensional models of particle diffusion, attachment and detachment from clusters, where the detachment rates decrease with increasing cluster size as gamma(m) ~ m^{-k}, k>0. Heuristic scaling arguments based on…

统计力学 · 物理学 2009-11-13 F. D. A. Aarao Reis , R. B. Stinchcombe

The incorporation of particle inertia into the usual mean field theory for particle aggregation and fragmentation in fluid flows is still an unsolved problem. We therefore suggest an alternative approach that is based on the dynamics of…

流体动力学 · 物理学 2011-03-08 Jens C. Zahnow , Joeran Maerz , Ulrike Feudel

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…

介观与纳米尺度物理 · 物理学 2013-05-29 Fan Ming , Andrew Zangwill

Island formation in strain-free heteroepitaxial deposition of thin films is analyzed using kinetic Monte Carlo simulations of two minimal lattice models and scaling approaches. The transition from layer-by-layer (LBL) to island (ISL) growth…

We study the surface growth generated by the random deposition of particles of different sizes. A model is proposed where the particles are aggregated on an initially flat surface, giving rise to a rough interface and a porous bulk. By…

统计力学 · 物理学 2010-03-19 F. L. Forgerini , W. Figueiredo

Scanning tunneling microscopy combined with molecular dynamics simulations reveal a dislocation-mediated island diffusion mechanism for Cu on Ag(111), a highly mismatched system. Cluster motion is tracked with atomic precision at multiple…

材料科学 · 物理学 2015-05-14 A. W. Signor , Henry H. Wu , Dallas R. Trinkle

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…

材料科学 · 物理学 2014-04-22 Giridhar Nandipati , Abdelkader Kara , Syed Islamuddin Shah , Talat S. Rahman

A one dimensional stochastic exclusion process with two species of particles, $+$ and $-$, is studied where density of each species can fluctuate but the total particle density is conserved. From the exact stationary state weights we show…

统计力学 · 物理学 2017-01-10 Urna Basu

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…

介观与纳米尺度物理 · 物理学 2018-11-21 Hrvojka Krcelic , Michael Grinfeld , Paul Mulheran

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…

原子与分子团簇 · 物理学 2015-03-17 R. Yamauchi , X. M. Lu , M. Koyama , H. Sasakura , Y. Nakata , S. Muto

An ab-initio numerical study of the density-dependent, evolutionary stable dispersal strategy is presented. The simulations are based on a simple discretei generation island model with four processes: reproduction, dispersal, competition…

种群与进化 · 定量生物学 2013-01-09 Shlomit Weisman , Nadav M. Shnerb , David A. Kessler

The effect of introducing a mass dependent diffusion rate ~ m^{-alpha} in a model of coagulation with single-particle break up is studied both analytically and numerically. The model with alpha=0 is known to undergo a nonequilibrium phase…

统计力学 · 物理学 2009-11-07 R. Rajesh , Dibyendu Das , Bulbul Chakraborty , Mustansir Barma

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…

介观与纳米尺度物理 · 物理学 2016-07-07 Y. Han , E. Gaudry , T. J. Oliveira , J. W. Evans

We develop a theory of nucleation on top of two-dimensional islands bordered by steps with an additional energy barrier $\Delta E_S$ for descending atoms. The theory is based on the concept of the residence time of an adatom on the…

材料科学 · 物理学 2007-05-23 Joachim Krug , Paolo Politi , Thomas Michely

The pressure and the viscosity in two-dimensional sheared granular assemblies are investigated numerically. The behavior of both pressure and viscosity is smoothly changing qualitatively when starting from a mono-disperse hard-disk system…

统计力学 · 物理学 2010-07-20 Michio Otsuki , Hisao Hayakawa , Stefan Luding

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…

材料科学 · 物理学 2009-10-31 K. E. Khor , S. Das Sarma

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…

材料科学 · 物理学 2007-07-20 Yukio Saito

The decay of hexagonal Ag adatom islands on top of larger Ag adatom islands on a Ag(111) surface is followed by a fast scanning tunneling microscope. Islands do not always show the expected increase in decay rate with decreasing island…

其他凝聚态物理 · 物理学 2009-11-11 Karina Morgenstern , Erik Lae gsgaard , Flemming Besenbacher

We introduce a new model of aggregation of particles where in addition to diffusion and aggregation upon contact, a single unit of mass can dissociate from a conglomerate. This dissociation move conserves the total mass and leads to a…

统计力学 · 物理学 2008-02-03 Supriya Krishnamurthy , Satya N. Majumdar , Mustansir Barma

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…