Dynamic scaling behaviors of the restricted-solid-on-solid model on honeycomb and square-octagon lattice substrates

  • Zhe Zhang
  • Zhipeng Xun
  • Ling Wu
  • Yili Chen
  • Hui Xia
  • Dapeng Hao
  • Gang Tang
Regular Article

DOI: 10.1140/epjb/e2017-80129-1

Cite this article as:
Zhang, Z., Xun, Z., Wu, L. et al. Eur. Phys. J. B (2017) 90: 89. doi:10.1140/epjb/e2017-80129-1
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Abstract

The dynamic scaling behaviors of the restricted-solid-on-solid (RSOS) model on two new types of substrate, which are honeycomb and square-octagon lattice substrates, are studied by means of Kinetic Monte Carlo simulations. The growth exponent β and the roughness exponent α defined, respectively, by the surface width via W ~ tβ and the saturated width via Wsat ~ Lα, L being the system size, were obtained by a power-counting analysis. Our simulation results show that the Family-Vicsek scaling is still satisfied. However, the structures of the substrates indeed affect the dynamic behavior of the growth model. The values of the roughness exponents fall between regular and fractal lattices. Deeper analysis show that the coordination number of the substrates play an crucial role.

Keywords

Statistical and Nonlinear Physics 

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  • Zhe Zhang
    • 1
  • Zhipeng Xun
    • 1
  • Ling Wu
    • 1
  • Yili Chen
    • 1
  • Hui Xia
    • 1
  • Dapeng Hao
    • 1
  • Gang Tang
    • 1
  1. 1.School of Physics, China University of Mining and technologyXuzhouP.R. China

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