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Condensed Matter > Statistical Mechanics
Title: Statistics modification under monomer diffusion
(Submitted on 11 Dec 2020 (v1), last revised 14 Mar 2021 (this version, v3))
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.
Submission history
From: Georges Sitja [view email][v1] Fri, 11 Dec 2020 10:16:17 GMT (145kb)
[v2] Fri, 8 Jan 2021 09:30:37 GMT (160kb)
[v3] Sun, 14 Mar 2021 06:05:59 GMT (17kb)
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