Island Distance in One-Dimensional Epitaxial Growth

Harald Kallabis; Paul L. Krapivsky; Dietrich E. Wolf

doi:10.1007/s100510050505

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Island Distance in One-Dimensional Epitaxial Growth

Harald Kallabis·Paul L. Krapivsky·Dietrich E. Wolf

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Abstract

The typical island distance $\ell$ in submonlayer epitaxial growth depends on the growth conditions via an exponent $γ$. This exponent is known to depend on the substrate dimensionality, the dimension of the islands, and the size $i^*$ of the critical nucleus for island formation. In this paper we study the dependence of $γ$ on $i^*$ in one--dimensional epitaxial growth. We derive that $γ= i^*/(2i^* + 3)$ for $i^*\geq 2$ and confirm this result by computer simulations.

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Harald Kallabis, Paul L. Krapivsky, Dietrich E. Wolf. 1998-09-17. Island Distance in One-Dimensional Epitaxial Growth. https://doi.org/10.1007/s100510050505

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