Characterising submonolayer deposition via visibility graphs

D. Allen, M. Grinfeld and P.A. Mulheran

Physica A: Statistical Mechanics and its Applications, 2019, vol. 532, issue C

Abstract: We use visibility graphs as a tool to analyse the results of kinetic Monte Carlo (kMC) simulations of submonolayer deposition in a one-dimensional point island model. We introduce an efficient algorithm for the computation of the visibility graph resulting from a kMC simulation and show that from the properties of the visibility graph one can determine the critical island size, thus demonstrating that the visibility graph approach, which implicitly combines size and spatial data, can provide insights into island nucleation and growth processes.

Keywords: Submonolayer deposition; Visibility graphs; Kinetic Monte Carlo simulations (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:532:y:2019:i:c:s037843711931101x

DOI: 10.1016/j.physa.2019.121872

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