Logarithmic Clustering in Submonolayer Epitaxial Growth

Details Logarithmic Clustering in Submonolayer Epitaxial Growth Logarithmic Clustering in Submonolayer Epitaxial Growth

1997-12-05

arxiv.org/abs/cond-mat/9712072v1

Eur. Phys. J. B 4, 401-404 (1998)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures

Scientific paper

10.1007/s100510050395

We investigate submonolayer epitaxial growth with a fixed monomer flux and irreversible aggregation of adatom islands due to their effective diffusion. When the diffusivity D_k of an island of mass k is proportional to k^{-\mu}, a Smoluchowski rate equation approach predicts steady behavior for 0<\mu<1, with the concentration c_k of islands of mass k varying as k^{-(3-\mu)/2}. For \mu>1, continuous evolution occurs in which c_k(t)~(\ln t)^{-(2k-1)\mu/2}, while the total island density increases as N(t)~(\ln t)^{\mu/2}. Monte Carlo simulations support these predictions.

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