1996/04/15 by Paul A. Mulheran, J. A. Blackman · 7 citations
Physics and Astronomy · Earth and Planetary Sciences · Mathematics · #Theoretical and Computational Physics #nanoparticles nucleation surface interactions #Advanced Thermodynamics and Statistical Mechanics #Scaling #Homogeneous #Voronoi diagram #Substrate (aquarium) #Thin film #Physics #Condensation #Condensed matter physics #Materials science #Limit (mathematics) #Statistical physics #Geometry #Thermodynamics #Quantum mechanics #Mathematics #Geology #Mathematical analysis
paper · doi:10.1103/physrevb.53.10261
openalex publication_date 1996/04/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/06/26
The capture zones for the islands in homogeneous thin-film growth simulations are studied. A complete condensation limit is used for the growth of dendritic and circular islands. The critical island sizes examined are i=1 in the former and i=1,2,3 in the latter case. It is found that the capture zones show scaling over all of the conditions and substrate coverages studied. In the high-temperature (i\ensuremath\gtrsim1) regime this leads to the scaling of the island sizes themselves, and enables a semiempirical functional form derived for Voronoi networks to be assigned to the size distribution. In the low-temperature (i=1) regime the island size scaling with substrate coverage is only approximate and coincidental. These results show good agreement with previously published data from both experimental and computational studies. \textcopyright 1996 The American Physical Society.