Capture-zone distribution in one-dimensional sub-monolayer film growth: a fragmentation theory approach

Details Capture-zone distribution in one-dimensional sub-monolayer film growth: a fragmentation theory approach Capture-zone distribution in one-dimensional sub-monolayer film growth: a fragmentation theory approach

2011-07-14

arxiv.org/abs/1107.2805v3

Nonlinear Sciences

Adaptation and Self-Organizing Systems

12 pages, uses equation.sty

Scientific paper

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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