TL;DR
This paper develops a model combining adatom density correlations with strain-mediated interactions on elastic anisotropic substrates, solving a nonlinear integral equation numerically for various metal surfaces and comparing results with Monte Carlo simulations.
Contribution
It introduces a novel combined model for adatom correlations influenced by strain on anisotropic substrates and provides numerical solutions and comparisons with simulations.
Findings
Strain significantly affects adatom correlations.
Elastic anisotropy influences adatom superstructure formation.
Model results align with Monte Carlo configurations.
Abstract
A Born-Green-Yvon type model for adatom density correlations is combined with a model for adatom interactions mediated by the strain in elastic anisotropic substrates. The resulting nonlinear integral equation is solved numerically for coverages from zero to a limit given by stability constraints. W, Nb, Ta and Au surfaces are taken as examples to show the effects of different elastic anisotropy regions. Results of the calculation are shown by appropriate plots and discussed. A mapping to superstructures is tried. Corresponding adatom configurations from Monte Carlo simulations are shown.
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