Open AccessCritical properties of the S4 model for Sierpinski carpet
Author(s) -
Xiang Yin,
Wanfang Liu,
Z. A. Zhu,
Xiao Kong
Publication year - 2015
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.64.016402
Subject(s) - sierpinski carpet , renormalization group , sierpinski triangle , critical point (mathematics) , gauss , fixed point , gaussian , critical exponent , infrared fixed point , statistical physics , physics , mathematics , mathematical physics , mathematical analysis , fractal , condensed matter physics , quantum mechanics , phase transition
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.