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Growth with surface diffusion in d = 1 + 1

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  • Hontinfinde, Felix
  • Krug, Joachim
  • Touzani, M'hamed

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.

Suggested Citation

  • Hontinfinde, Felix & Krug, Joachim & Touzani, M'hamed, 1997. "Growth with surface diffusion in d = 1 + 1," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 237(3), pages 363-383.
    • Handle: RePEc:eee:phsmap:v:237:y:1997:i:3:p:363-383
    DOI: 10.1016/S0378-4371(96)00435-9
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    References listed on IDEAS

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    1. Robert W. Gilmer & Daniel Morgan Jr., 1973. "The Equivalence of Flat Grants and Foundation Programs in State Education Aid Formulas," Public Finance Review, , vol. 1(4), pages 437-447, October.
    2. Meakin, Paul, 1990. "Diffusion-limited droplet coalescence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 165(1), pages 1-18.
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    Cited by:

    1. Krug, Joachim, 1999. "Pattern-forming instabilities in homoepitaxial crystal growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 263(1), pages 170-179.
    2. Hontinfinde, F. & Ferrando, R. & Levi, A.C., 1998. "A numerical study of the epitaxial growth of silver on silver (110)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 248(3), pages 288-304.

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