Growth with surface diffusion in d = 1 + 1

Felix Hontinfinde, Joachim Krug and M'hamed Touzani

Physica A: Statistical Mechanics and its Applications, 1997, vol. 237, issue 3, 363-383

Abstract: A restricted solid-on-solid model where surface relaxation occurs by atom desorption and by surface diffusion is introduced and studied in 1+1 dimensions. The interface profile is mapped onto a four-vertex model and the kinetic equation describing the moving surface is solved exactly for small samples. In the presence of desorption we classify different growth regimes using the Wilson-Frenkel law. In the presence of surface diffusion with step edge barriers we find evidence for a sharp transition from stable to unstable growth which occurs with increasing diffusion length. Growth modes during the thermal evaporation of the crystal are also discussed.

Keywords: Crystal growth; Surface diffusion; Growth modes; Stochastic growth models (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:237:y:1997:i:3:p:363-383

DOI: 10.1016/S0378-4371(96)00435-9

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