Critical Behaviour of the Gaussian Model on Sierpinski Carpets
LIN Zhen-Quan1 , KONG Xiang-Mu2
1 Department of Physics, Wenzhou Normal College, Wenzhou 325027
2 Department of Physics, Qufu Normal University, Qufu 273165
Critical Behaviour of the Gaussian Model on Sierpinski Carpets
LIN Zhen-Quan1 ;KONG Xiang-Mu2
1 Department of Physics, Wenzhou Normal College, Wenzhou 325027
2 Department of Physics, Qufu Normal University, Qufu 273165
关键词 ：
05.50.+q ,
64.60.Ak ,
75.10.Hk
Abstract ： The Gaussian model on Sierpinski carpets with two types of nearest neighbour interactions K and Kw and two corresponding types of the Gaussian. distribution constants b and bw is constructed by generalizing that on translationally invariant square lattice. The critical behaviours are studied by the renormalization-group approach and spin rescaling method. They are found to be quite different from that on translationally invariant square lattice. There are two critical points at (K* = b,K* w = 0) and (K* = 0,K* w = bw ), and the correlation length critical exponents are calculated.
Key words ：
05.50.+q
64.60.Ak
75.10.Hk
出版日期: 2001-07-01
引用本文:
LIN Zhen-Quan;KONG Xiang-Mu. Critical Behaviour of the Gaussian Model on Sierpinski Carpets[J]. 中国物理快报, 2001, 18(7): 882-884.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2001/V18/I7/882
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2001, Vol. 18 
