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

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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 W sat ~ 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.

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Authors and Affiliations

  1. School of Physics, China University of Mining and technology, Xuzhou, 221116, P.R. China

    Zhe Zhang, Zhipeng Xun, Ling Wu, Yili Chen, Hui Xia, Dapeng Hao & Gang Tang

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  1. Zhe Zhang
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  2. Zhipeng Xun
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  3. Ling Wu
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  4. Yili Chen
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  5. Hui Xia
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  6. Dapeng Hao
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  7. Gang Tang
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Correspondence to Zhipeng Xun.

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Zhang, Z., Xun, Z., Wu, L. et al. Dynamic scaling behaviors of the restricted-solid-on-solid model on honeycomb and square-octagon lattice substrates. Eur. Phys. J. B 90, 89 (2017). https://doi.org/10.1140/epjb/e2017-80129-1

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  • DOI: https://doi.org/10.1140/epjb/e2017-80129-1

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