一维亚单层膜生长中俘获区分布的碎裂理论研究
Capture-zone distribution in one-dimensional sub-monolayer film growth: a fragmentation theory approach
摘要：
一般的临界岛尺寸$i$被认为是在一维衬底上的点岛的成核和生长过程中形成的捕获区的分布。碎片理论方法产生的小和（$i=0$）大尺寸的渐近的捕获区分布（CZD）的假设下，没有邻居的间隙大小的相关性。这些CZD渐近形式是不同的广义维格纳表面最近提出的岛屿成核和生长模型，我们讨论的差异的原因。
英文摘要：
The distribution of capture zones formed during the nucleation and growth of point islands on a one-dimensional substrate during monomer deposition is considered for general critical island size $i$. A fragmentation theory approach yields the small and (for $i=0$) large size asymptotics for the capture zone distribution (CZD) under the assumption of no neighbour-neighbour gap size correlation. These CZD asymptotic forms are different to those of the Generalised Wigner Surmise which has recently been proposed for island nucleation and growth models, and we discuss the reasons for the discrepancies.
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