2011/05/31 by Tiago J. Oliveira, T. J. Oliveira, F. D. A. Aarão Reis +1
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Fractal #Gaussian #Geometry #Materials science #Mathematics #Oceanographic and Atmospheric Processes #Physics #Quantum mechanics #Scaling #Scientific Research and Discoveries #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.83.201405
published as Phys. Rev. B 83, 201405(R) (2011) · 12 pages, 3 figures
arxiv created 2011/05/31 · openalex publication_date 2011/05/31 · arxiv updated 2011/09/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Island size and capture zone distributions (ISDs, CZDs) are studied numerically in submonolayer growth with various critical island sizes and shapes. CZDs scaled by the variance show excellent agreement with the Wigner surmise, confirming the Pimpinelli-Einstein approach for large CZs/large island dynamics. The ISDs decay as exp(\ensuremath-s^\ensuremathγ), with \ensuremathγ=4, \ensuremath≈2.4, and 2 for point, fractal, and square islands, respectively. A scaling approach explains the values of \ensuremathγ from the Gaussian decay of CZDs and the efficiency of islands to capture diffusing adatoms.