Springer LINK: The European Physical Journal B - Abstract Volume 4 Issue 4 (1998) pp 401-404

The European Physical Journal B

ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)

Table of Contents

Abstract Volume 4 Issue 4 (1998) pp 401-404

rapid note: Logarithmic islanding in submonolayer epitaxial growth

P.L. Krapivsky (1), J.F.F. Mendes (2), S. Redner (1) (a)

(1) Center for Polymer Studies and Department of Physics, Boston University, Boston, MA 02215, USA
(2) Centro de Física do Porto and Departamento de Física, Universidade do Porto, 4150 Porto, Portugal

Received: 3 June 1998 / Accepted: 13 July 1998

Abstract: We investigate submonolayer epitaxial growth with a fixed monomer flux and irreversible aggregation of adatom islands due to an effective island diffusion, with a diffusivity for an mass k island proportional to $k^{-\mu}$. For $0\leq\mu<1$, there is a steady state, while for $\mu\geq 1$, continuously evolving logarithmic islanding occurs in which the island density grows extremely slowly, as $(\ln t)^{\mu/2}$. In the latter regime, the island size distribution exhibits complex, but universal, multiple-scale mass dependence which we account for theoretically.

PACS. 68.35.Fx Diffusion; interface formation - 36.40.Sx Diffusion and dynamics of clusters - 66.30.Fq Self-diffusion in metals, semimetals, and alloys

(a) email: redner@sid.bu.edu

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