Topological Structures of Cluster Spins for Ising Models
General Physics
2010-03-22 v2
Abstract
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.
Cite
@article{arxiv.1003.3060,
title = {Topological Structures of Cluster Spins for Ising Models},
author = {You-gang Feng},
journal= {arXiv preprint arXiv:1003.3060},
year = {2010}
}
Comments
7 pages, 3 figures