Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-06-10
Eur.Phys.J. B 5, 801 (1998)
Physics
Condensed Matter
Statistical Mechanics
5 pages, 3 figures, uses revtex, psfig, 'Note added in proof' appended
Scientific paper
10.1007/s100510050505
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.
Kallabis Harald
Krapivsky Paul. L.
Wolf Dietrich E.
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