1. Cluster-size heterogeneity in the two-dimensional Ising model.
- Author
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Jo, Woo Seong, Su Do Yi, Baek, Seung Ki, and Kim, Beom Jun
- Subjects
- *
CLUSTER analysis (Statistics) , *DIMENSIONAL analysis , *ISING model , *NUMERICAL analysis , *PERCOLATION , *DISTRIBUTION (Probability theory) , *GEOMETRIC analysis , *EXPONENTS - Abstract
We numerically investigate the heterogeneity in cluster sizes in the two-dimensional Ising model and verify its scaling form recently proposed in the context of percolation problems [Phys. Rev. E 84, 010101(R) (2011)]. The scaling exponents obtained via the finite-size scaling analysis are shown to be consistent with theoretical values of the fractal dimension df and the Fisher exponent r for the cluster distribution. We also point out that strong finite-size effects exist due to the geometric nature of the cluster-size heterogeneity. [ABSTRACT FROM AUTHOR]
- Published
- 2012
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