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Mound morphology of the 2+1 -dimensional Wolf–Villain model caused by the step-edge diffusion effect

Author

Listed:
  • Xun, Zhipeng
  • Tang, Gang
  • Han, Kui
  • Xia, Hui
  • Hao, Dapeng
  • Chen, Yuling
  • Wen, Rongji

Abstract

The mound morphology of the 2+1-dimensional Wolf–Villain model is studied by numerical simulation. The diffusion rule of this model has an intrinsic mechanism, i.e., the step-edge diffusion, to create a local uphill particle current, which leads to the formation of the mound. In the simulation, a noise reduction technique is employed to enhance the local uphill particle current. Our results for the dynamic exponent 1/z and the roughness exponent α obtained from the surface width show a dependence on the strength of the step-edge diffusion. On the other hand, λ(t), which describes the separation of the mounds, grows as a function of time in a power-law form in the regime where the coalescence of mounds occurs, λ(t)∼tn, with n≈0.23–0.25 for a wide range of the deposition conditions under the step-edge diffusion effect. For m=1, a noise reduction factor of unity, the behavior of λ(t) in the saturated regime is also simulated. We find that the evolution behavior of λ(t) in the whole process can be described by the standard Family–Vicsek scaling.

Suggested Citation

  • Xun, Zhipeng & Tang, Gang & Han, Kui & Xia, Hui & Hao, Dapeng & Chen, Yuling & Wen, Rongji, 2010. "Mound morphology of the 2+1 -dimensional Wolf–Villain model caused by the step-edge diffusion effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(24), pages 5635-5644.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:24:p:5635-5644
    DOI: 10.1016/j.physa.2010.08.047
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    Citations

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    Cited by:

    1. Disrattakit, P. & Chanphana, R. & Chatraphorn, P., 2016. "Roughness distribution of multiple hit and long surface diffusion length noise reduced discrete growth models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 619-629.
    2. Disrattakit, P. & Chanphana, R. & Chatraphorn, P., 2017. "Skewness and kurtosis of height distribution of thin films simulated by larger curvature model with noise reduction techniques," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 484(C), pages 299-308.
    3. Chen, Yili & Tang, Gang & Xun, Zhipeng & Zhu, Lei & Zhang, Zhe, 2017. "Schramm–Loewner evolution theory of the asymptotic behaviors of (2+1)-dimensional Wolf–Villain model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 613-620.

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