Two-Dimensional Nucleation with Edge and Corner Diffusion

dc.creatorSaito, Yukio
dc.date2003-01-08
dc.date2003-06-20
dc.date.accessioned2026-07-07T08:19:15Z
dc.date.available2026-07-07T08:19:15Z
dc.descriptionThe effect of edge and corner diffusions on the morphology and on the density of islands nucleated irreversibly on a flat substrate surface is studied. Without edge and corner diffusion, islands are fractal. As an edge diffusion constant $D_e$ increases, islands tend to take a cross shape with four needles in the $< 10 >$ direction. Additional corner diffusion with a diffusion constant $D_c$ yields square islands. When $D_e$ is small relative to the surface diffusion constant $D_s$, the square corner shows the Berg instability to produce hopper growth in the $<11>$ direction. The corner diffusion influences the island number density $n$. At a deposition flux $F$ with a small $D_c$, mainly monomers are mobile and $n \propto (F/D_s)^{1/3}$. At large $D_c$, dimers and trimers are also mobile and $n \propto F^{3/7} D_s^{-5/21} D_c^{-4/21}$. The $F$ dependence is in good agreement to the rate equation analysis, but the dependence on $D_c$ cannot be explained by the theory.
dc.description8 pages, 7 figures, Change content with additional references and figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0301091
dc.identifierhttp://arxiv.org/abs/cond-mat/0301091
dc.identifierJ. Phys. Soc. Jpn. 72 (2003) 2008-2014.
dc.identifierdoi:10.1143/JPSJ.72.2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134703
dc.subjectMaterials Science
dc.subjectStatistical Mechanics
dc.titleTwo-Dimensional Nucleation with Edge and Corner Diffusion
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