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Topological Structures of Cluster Spins for Ising Models (1003.3060v2)
Published 16 Mar 2010 in physics.gen-ph
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.
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