Surface structures of equilibrium restricted curvature model on two fractal substrates

With the aim to probe the effects of the microscopic details of fractal substrates on the scaling of discrete growth models, the surface structures of the equilibrium restricted curvature （ERC） model on Sierpinski arrowhead and crab sub- strates are analyzed by means of Monte Carlo simulations. Thes...

Full description

Saved in:
Bibliographic Details
Published in:Chinese physics B 2014, Vol.23 (1), p.125-130
Main Author: 宋丽建 唐刚 张永伟 韩奎 寻之朋 夏辉 郝大鹏 李炎
Format: Article
Language:English
Subjects:
arrowhead
crab
curvature
dynamic
equilibrium
fractal
restricted
scal-ing
Sierpinski
substrate
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:With the aim to probe the effects of the microscopic details of fractal substrates on the scaling of discrete growth models, the surface structures of the equilibrium restricted curvature （ERC） model on Sierpinski arrowhead and crab sub- strates are analyzed by means of Monte Carlo simulations. These two fractal substrates have the same fractal dimension dr, but possess different dynamic exponents of random walk Zrw. The results show that the surface structure of the ERC model on fractal substrates are related to not only the fractal dimension df, but also to the microscopic structures of the substrates expressed by the dynamic exponent of random walk Zrw- The ERC model growing on the two substrates follows the well-known Family-Vicsek scaling law and satisfies the scaling relations 2a ~ df ~ z ~ 2Zrw. In addition, the values of the scaline exponents are in ~ood a~reement with the analytical orediction of the fractional Mullins-Herring equation.
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/23/1/010503