scholarly journals Crossover from Dimer Nucleation to Adatom Exchange During Submonolayer Epitaxy

1995 ◽  
Vol 399 ◽  
Author(s):  
G.S. Bales
Keyword(s):  
Kinetic Monte Carlo ◽  
Mean Field ◽  
Nucleation And Growth ◽  
Rate Equations ◽  
Number Density ◽  
Dimer Formation ◽  
Island Size ◽  
Self Consistent ◽  
Kinetic Monte Carlo Simulations ◽  
Increasing Temperature

ABSTRACTThe nucleation and growth of islands in the early stages of epitaxial growth is studied with kinetic Monte Carlo Simulations and self-consistent mean field rate equations. Specifically, adatom exchange and irreversible dimer formation are allowed to compete equally as the origin of two-dimensional islands. The island size distribution and number density are found to satisfy a dynamic crossover scaling form. The critical island size evolves from one to zero with increasing temperature, decreasing flux, and increasing coverage.

Island Size and Environment Dependence of Adatom Capture: Cu/Co Islands on Ru(0001)

1998 ◽  
Vol 528 ◽  
Author(s):  
M.C. Bartelt ◽  
J.W. Evans ◽  
A.K. Schmid ◽  
R.Q. Hwang
Keyword(s):  
Kinetic Monte Carlo ◽  
Strong Dependence ◽  
Mean Field ◽  
Scanning Tunneling ◽  
Tunneling Microscopy ◽  
Island Size ◽  
Kinetic Monte Carlo Simulations ◽  
Environment Dependence ◽  
And Diffusion ◽  
Capture Rates

AbstractThe rate of capture by stable Co islands on Ru(0001) of additionally deposited Cu atoms is quantified using scanning tunneling microscopy, kinetic Monte Carlo simulations, and diffusion equation analyses. We find strong dependence of the capture rates on Co-island size, larger islands showing larger capture rates, qualitatively distinct from self-consistent mean-field predictions. The observed size dependence is shown to reflect larger island-free areas surrounding bigger islands, i.e., a strong correlation between island sizes and separations neglected in mean-field treatments.

Kinetic Monte Carlo Simulation of Impurity Effects on Nucleation and Growth of SiC Clusters on Si(100)

2013 ◽  
Vol 740-742 ◽  
pp. 393-396
Author(s):  
Maxim N. Lubov ◽  
Jörg Pezoldt ◽  
Yuri V. Trushin
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Cluster Size ◽  
Kinetic Monte Carlo ◽  
Nucleation And Growth ◽  
Nucleation Density ◽  
Nucleation Process ◽  
Impurity Effects ◽  
Kinetic Monte Carlo Simulations ◽  
The Mean

The influence of attractive and repulsive impurities on the nucleation process of the SiC clusters on Si(100) surface was investigated. Kinetic Monte Carlo simulations of the SiC clusters growth show that that increase of the impurity concentration (both attractive and repulsive) leads to decrease of the mean cluster size and rise of the nucleation density of the clusters.

My Modeling Nanocluster Formation During Ion Beam Synthesis

2009 ◽  
Vol 1181 ◽  
Author(s):  
Chun-Wei Yuan ◽  
Diana O. Yi ◽  
Ian D. Sharp ◽  
Swanee J. Shin ◽  
Christopher Y. Liao ◽  
...  
Keyword(s):  
Steady State ◽  
Cluster Size ◽  
Kinetic Monte Carlo ◽  
Ion Beam ◽  
Effective Diffusion ◽  
Mean Field ◽  
Interface Energy ◽  
Rate Equations ◽  
Ion Beam Synthesis ◽  
State Regime

AbstractIon beam synthesis of nanoclusters is studied via both kinetic Monte Carlo simulations and the self-consistent mean-field solution to a set of coupled rate equations. Both approaches predict a steady-state shape for the cluster size distribution that depends only on a characteristic length determined by the ratio of the effective diffusion coefficient times the effective solubility to the ion flux. The average cluster size in the steady state regime is determined by the implanted species/matrix interface energy.

Beyond-Mean-Field Treatments of Island Formation during Submonolayer Deposition: Island Size Distributions for Large Critical Sizes

2004 ◽  
Vol 859 ◽  
Author(s):  
Maozhi Li ◽  
Maria C. Bartelt ◽  
J. W. Evans
Keyword(s):  
Critical Size ◽  
Kinetic Monte Carlo ◽  
Mean Field ◽  
Coarse Grained ◽  
Size Distributions ◽  
Island Size ◽  
Island Formation ◽  
Scaling Properties ◽  
Cpu Time ◽  
Atomistic Models

ABSTRACTKinetic Monte Carlo (KMC) simulation of atomistic models reveals the failure of mean-field treatments of the island size distribution (ISD) for islands formed by homogeneous nucleation during submonolayer deposition on perfect surfaces. KMC also facilitates analysis of scaling properties of the ISD, although here some misperceptions persist which we attempt to clarify. However, KMC becomes inefficient for highly reversible island formation (e.g., for large values of a critical size, i, above which islands are stable) due to the high density of diffusing adatoms on the surface. This reduced efficiency is quantified here with results for CPU time versus i. This feature has motivated development of alternative beyond-mean-field coarse-grained approaches which should be more efficient for large i. We provide results for the ISD for a range of i = 1, 2, 3, and 6 using one such approach, a stochastic geometry-based simulation (GBS) strategy.

Nucleation of Islands During Epitaxial Growth: Influence of a Second Species

1998 ◽  
Vol 528 ◽  
Author(s):  
Pushkar S. Ranade ◽  
D. C. Chrzan
Keyword(s):  
Field Theory ◽  
Experimental Data ◽  
Mean Field Theory ◽  
Mean Field ◽  
Nucleation And Growth ◽  
Growth Morphology ◽  
Additional Species ◽  
Self Consistent ◽  
Island Density ◽  
Number Of Authors

AbstractThe theory of the nucleation and growth of islands is maturing rapidly. This advance is driven by the increased availability of experimental data, as well as the need for better control over growth processes. Recently, a number of authors have studied the effects of introducing a second species onto the surface in order to influence the ultimate growth morphology. In some situations, the addition of a second species results in a signficant change (approximately a factor of 1000) in the nucleated island density. The origin of this increase in density has been linked to the anomalous diffusion induced by the presence of the additional species of atoms. In the current paper, this dependence is explored further. In particular, earlier work focused on nucleation and growth in the regime in which the second species is essentially immobile. This constraint is relaxed here, and the subsequent model studied through application of a self-consistent mean-field theory. Predictions for the total island density are presented.

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