Eur. Phys. J. B (2017) 90: 89
https://doi.org/10.1140/epjb/e2017-80129-1

Regular Article

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

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

^a e-mail: zpxun@cumt.edu.cn

Received: 23 July 2016
Received in final form: 3 March 2017
Published online: 10 May 2017

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.