@article{oai:uec.repo.nii.ac.jp:00008588,
 author = {中井, 日佐司 and NAKAI, Hisashi},
 issue = {1},
 journal = {電気通信大学紀要},
 month = {Feb},
 note = {For the both of Kinetic Monte-Carlo (KMC) and rate equations (RE) based on irreversible sub monolayer
growth of point islands in substrate spatial dimension d = 2, 3 and 4 as the limit R  , I find that monomer
density N1 and island density N have N1 = −1 ˆ() and N = −1 ˆN (), where R is the ratio of the monomer
diffusion rate to the deposition rate,  is coverage and  is the scaling factor determined by the detail of the
system. The function ˆ and ˆN are universal functions independent of R and d, and calculated in the minimal
model for submonolayer epitaxy by Tang [L. -H. Tang, J. Phys. I France 3, 935 (1993)]. As result,  = (R)1/2
was obtained for the both KMC and RE in d = 2, 3 and 4, where  is the capture number of diffusing monomer.
Finally, for RE in d > 4 as the limit, I show N1 and N have function form as same as the form in d  4.},
 pages = {71--78},
 title = {極小モデルに基づいた薄膜点状島初期成長のスケーリング理論},
 volume = {30},
 year = {2018},
 yomi = {ナカイ, ヒサシ}
}