Topological Structures of Cluster Spins for Ising Models

Details Topological Structures of Cluster Spins for Ising Models Topological Structures of Cluster Spins for Ising Models

2010-03-16

arxiv.org/abs/1003.3060v2

Zentralblatt Math-ZMATH Online Database: Zbl Pre 05677306,(2010)

Physics

General Physics

7 pages, 3 figures

Scientific paper

We discussed hierarchies and rescaling rule of the self similar transformations in Ising models, and define a fractal dimension of an ordered cluster, which minimum corresponds to a fixed point of the transformations. By the fractal structures we divide the clusters into two types: irreducible and reducible. A relationship of cluster spin with its coordination number and fractal dimension is obtained.

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