Kallabis, Harald; Krapivsky, Paul L.; Wolf, Dietrich:
Island distance in one-dimensional epitaxial growth
1998
In: European physical journal : B : Condensed matter and complex systems (EPJ B), Jg. 5 (1998), Heft 3, S. 801 - 804
Artikel/Aufsatz in Zeitschrift1998Physik
Titel:
Island distance in one-dimensional epitaxial growth
Autor(in):
Kallabis, Harald; Krapivsky, Paul L.; Wolf, DietrichLSF
Erscheinungsjahr
1998
WWW URL

### Abstract:

The typical island distance $\ell$ in submonlayer epitaxial growth depends on the growth conditions via an exponent $\gamma$. 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 $\gamma$ on $i^*$ in one--dimensional epitaxial growth. We derive that $\gamma = i^*/(2i^* + 3)$ for $i^*\geq 2$ and confirm this result by computer simulations.