Abstract
Heteroepitaxial growth of clusters in presence of elastic strain has been studied by means of a multi-grid Monte Carlo simulation. Deformation of the underlying substrate typically leads to a repulsive 1/r3 interaction-potential between the adsorbed atoms. We find an increased effective fractal dimension d f on small scales, exhibiting a crossover to the conventional dimension of diffusion limited aggregation (DLA) on large scales. The growth velocity of an advancing fractal step grown from a lattice gas of finite density is shown to reflect this crossover phenomenon as the velocity is linked to the fractal dimension of the aggregate. We show that matching of length-scales holds as a mechanism of velocity selection. Starting with a smooth coverage, our microscopic model of 2 + 1-dimensional cluster growth is subject to a Grinfeld instability and ends up with coarsening island configurations.
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Gutheim, F., Miiller-Krumbhaar, H., Brener, E., Misbah, C. (2000). Epitaxial Growth with Elastic Interaction: Layer and Cluster Growth. In: Freund, J.A., Pöschel, T. (eds) Stochastic Processes in Physics, Chemistry, and Biology. Lecture Notes in Physics, vol 557. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45396-2_43
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DOI: https://doi.org/10.1007/3-540-45396-2_43
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