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Critical properties of the S4 model for Sierpinski carpet

Yin Xun-Chang Liu Wan-Fang Zhu Zu-Song Kong Xiang-Mu

Critical properties of the S4 model for Sierpinski carpet

Yin Xun-Chang, Liu Wan-Fang, Zhu Zu-Song, Kong Xiang-Mu
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  • Abstract views:  899
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Publishing process
  • Received Date:  20 April 2014
  • Accepted Date:  20 August 2014
  • Published Online:  05 January 2015

Critical properties of the S4 model for Sierpinski carpet

  • 1. School of Physics and Electric Engineering, Anqing Teachers College, Anqing 246011, China;
  • 2. Department of Physics, Qufu Normal University, Qufu 273165, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 10775088), and the National Natural Science Foundation of Anhui Province (Grant Nos. 1408085QA15, 1308085QA19).

Abstract: According to the bond-moving renormalization group technique, the critical behaviour of S4 model for Sierpinski carpet is investigated, then the critical points are obtained. From the results we find that there are a Wilson-Fisher fixed point and a Gaussian fixed point. In contrast to the Gauss model for Sierpinski carpet, the critical points have altered obviously. Results indicate that the two systems belong to two different universal classes.

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