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Surface dynamics of the Wolf-Villain model for epitaxial growth in 1 + 1 dimensions

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  • Park, K.
  • Kahng, B.
  • Kim, S.S.

Abstract

We investigated the spatiotemporal behavior of growing surfaces of the Wolf-Villain model in 1 + 1 dimensions. We measured the four physical quantities, (1) the height- height correlation function, (2) the surface fluctuation width, (3) the tilt-tilt correlation function, and (4) the height step fluctuation width by performing exclusive Monte Carlo simulations. The crossover behavior from the ∇4h-driven surface growth to the ∇2h- driven surface growth has been observed in our numerical data of the four quantities. Moreover, we found an evidence that the model belongs to the Edwards-Wilkinson universality class in the limit of long time and large system size.

Suggested Citation

  • Park, K. & Kahng, B. & Kim, S.S., 1994. "Surface dynamics of the Wolf-Villain model for epitaxial growth in 1 + 1 dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(1), pages 146-154.
    • Handle: RePEc:eee:phsmap:v:210:y:1994:i:1:p:146-154
    DOI: 10.1016/0378-4371(94)00094-8
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    Cited by:

    1. Blel, Sonia & Hamouda, Ajmi B.H., 2019. "Surface morphology and a dynamic scaling analysis in epitaxial growth: A kinetic Monte Carlo study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 112-120.

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