31 citations · 85 across the 6 of their papers we have counts for
6 papers
Characterising submonolayer deposition via visibility graphs
Damien Allen, Michael Grinfeld, Paul Mulheran
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…
Distributional fixed-point equations for island nucleation in one dimension: The inverse problem
Hrvojka Krcelic, Michael Grinfeld, Paul Mulheran
The self-consistency of the distributional fixed-point equation (DFPE) approach to understanding the statistical properties of island nucleation and growth during submonolayer depo…
Distributional fixed point equations for island nucleation in one dimension: a retrospective approach for capture zone scaling
Paul A. Mulheran, Kenneth P. O'Neill, Michael Grinfeld +1
The distributions of inter-island gaps and captures zones for islands nucleated on a one-dimensional substrate during submonolayer deposition are considered using a novel retrospec…
Gap size and capture zone distributions in one-dimensional point island nucleation and growth simulations: asymptotics and models
K. P. O'Neill, M. Grinfeld, W. Lamb +1
The nucleation and growth of point islands during submonolayer deposition on a one-dimensional substrate is simulated for critical island size . The small and large size…
Capture-zone distribution in one-dimensional sub-monolayer film growth: a fragmentation theory approach
M. Grinfeld, W. Lamb, P. A. Mulheran +1
The distribution of capture zones formed during the nucleation and growth of point islands on a one-dimensional substrate during monomer deposition is considered for general critic…
Simulation of reconstructions of the polar ZnO (0001) surfaces
Hakim Meskine, Paul A. Mulheran
Surface reconstructions on the polar ZnO(0001) surface are investigated using empirical potential models. Several possible reconstructions based around triangular motifs are invest…