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 and Gang Tang
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Zhe Zhang: School of Physics, China University of Mining and technology
Zhipeng Xun: School of Physics, China University of Mining and technology
Ling Wu: School of Physics, China University of Mining and technology
Yili Chen: School of Physics, China University of Mining and technology
Hui Xia: School of Physics, China University of Mining and technology
Dapeng Hao: School of Physics, China University of Mining and technology
Gang Tang: School of Physics, China University of Mining and technology

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 5, 1-6

Abstract: 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 ~ t β and the saturated width via W sat ~ L α , 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 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1140/epjb/e2017-80129-1

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