Statistics modification under monomer diffusion

Georges Sitja

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arXiv · 2012.07636

Statistics modification under monomer diffusion

Georges Sitja

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Abstract

The diffusion and coalescence of individual atoms on a nanostructured surface are treated in a purely statistical way. From this, analytical formulas are derived which, from a known initial state, give the final cluster size distribution on a surface after the diffusion of all the individual atoms. Unexpectedly, it turns out that these formulas allow obtaining a statistical law giving the size histogram of the clusters when only homogeneous nucleation occurs with a critical germ equal to 2, and in the situation where nucleation starts once the deposition of the atoms is completed.

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Georges Sitja. 2020-12-11. Statistics modification under monomer diffusion. https://arxiv.org/abs/2012.07636

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