2020-09-29T21:02:12Zhttps://uec.repo.nii.ac.jp/?action=repository_oaipmhoai:uec.repo.nii.ac.jp:000085882020-03-18T00:41:47Z00007:00183
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Scaling theory for submonolayer growth of point Islands based on the minimal modeljpnModel for surface kinetics, substrate spatial dimension, universal function, scaling.http://id.nii.ac.jp/1438/00008571/Departmental Bulletin Paper中井, 日佐司For the both of Kinetic Monte-Carlo (KMC) and rate equations (RE) based on irreversible sub monolayergrowth of point islands in substrate spatial dimension d = 2, 3 and 4 as the limit R , I find that monomerdensity N1 and island density N have N1 = −1 ˆ() and N = −1 ˆN (), where R is the ratio of the monomerdiffusion rate to the deposition rate, is coverage and is the scaling factor determined by the detail of thesystem. The function ˆ and ˆN are universal functions independent of R and d, and calculated in the minimalmodel for submonolayer epitaxy by Tang [L. -H. Tang, J. Phys. I France 3, 935 (1993)]. As result, = (R)1/2was 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.電気通信大学紀要30171782018-02-01電気通信大学publisherhttps://uec.repo.nii.ac.jp/?action=repository_action_common_download&item_id=8588&item_no=1&attribute_id=22&file_no=12018-02-13