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Influences of Fractal Substrate Structures on Dynamic Scaling Behaviors of Etching Model

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【作者】 宋丽建唐刚寻之朋郝大鹏陈祎力张哲

【Author】 Li-Jian Song;Gang Tang;Zhi-Peng Xun;Da-Peng Hao;Yi-Li Chen;Zhe Zhang;School of Physical Science and Technology, China University of Mining and Technology;CAS Key Laboratory of Magnetic Materials and Devices, and Zhejiang Province Key Laboratory of Magnetic Materials and Application Technology, Ningbo Institute of Materials Technology and Engineering, Chinese Academy of Sciences;University of Chinese Academy of Sciences;

【机构】 School of Physical Science and Technology, China University of Mining and TechnologyCAS Key Laboratory of Magnetic Materials and Devices, and Zhejiang Province Key Laboratory of Magnetic Materials and Application Technology, Ningbo Institute of Materials Technology and Engineering, Chinese Academy of SciencesUniversity of Chinese Academy of Sciences

【摘要】 The Etching model on various fractal substrates embedded in two dimensions was investigated by means of kinetic Mento Carlo method in order to determine the relationship between dynamic scaling exponents and fractal parameters. The fractal dimensions are from 1.465 to 1.893, and the random walk exponents are from 2.101 to 2.578.It is found that the dynamic behaviors on fractal lattices are more complex than those on integer dimensions. The roughness exponent increases with the increasing of the random walk exponent on the fractal substrates but shows a non-monotonic relation with respect to the fractal dimension. No monotonic change is observed in the growth exponent.

【Abstract】 The Etching model on various fractal substrates embedded in two dimensions was investigated by means of kinetic Mento Carlo method in order to determine the relationship between dynamic scaling exponents and fractal parameters. The fractal dimensions are from 1.465 to 1.893, and the random walk exponents are from 2.101 to 2.578.It is found that the dynamic behaviors on fractal lattices are more complex than those on integer dimensions. The roughness exponent increases with the increasing of the random walk exponent on the fractal substrates but shows a non-monotonic relation with respect to the fractal dimension. No monotonic change is observed in the growth exponent.

【基金】 Supported by the Fundamental Research Funds for the Central Universities under Grant No.2015XKMS074-CUMT
  • 【文献出处】 Communications in Theoretical Physics ,理论物理通讯(英文版) , 编辑部邮箱 ,2017年10期
  • 【分类号】O363.2
  • 【下载频次】11
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