Characterising submonolayer deposition via visibility graphs
Mesoscale and Nanoscale Physics
2019-07-24 v2 Computational Physics
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
Cite
@article{arxiv.1807.03063,
title = {Characterising submonolayer deposition via visibility graphs},
author = {Damien Allen and Michael Grinfeld and Paul Mulheran},
journal= {arXiv preprint arXiv:1807.03063},
year = {2019}
}