Fluctuations and scaling in models for particle aggregation

Details Fluctuations and scaling in models for particle aggregation Fluctuations and scaling in models for particle aggregation

2005-11-15

arxiv.org/abs/cond-mat/0511380v2

Surf. Sci. 600, 2392-2401 (2006)

Physics

Condensed Matter

Materials Science

25 pages. Minor changes in the main text and in some figures. Accepted for publication in Surface Science

Scientific paper

10.1016/j.susc.2006.04.003

We consider two sequential models of deposition and aggregation for particles. The first model (No Diffusion) simulates surface diffusion through a deterministic capture area, while the second (Sequential Diffusion) allows the atoms to diffuse up to \ell steps. Therefore the second model incorporates more fluctuations than the first, but still less than usual (Full Diffusion) models of deposition and diffusion on a crystal surface. We study the time dependence of the average densities of atoms and islands and the island size distribution. The Sequential Diffusion model displays a nontrivial steady-state regime where the island density increases and the island size distribution obeys scaling, much in the same way as the standard Full Diffusion model for epitaxial growth. Our results also allow to gain insight into the role of different types of fluctuations.

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