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arXiv · 1209.2568

Cluster-size heterogeneity in the two-dimensional Ising model

Woo Seong Jo·Su Do Yi·Seung Ki Baek·Beom Jun Kim
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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 $d_f$ and the Fisher exponent $τ$ for the cluster distribution. We also point out that strong finite-size effects exist due to the geometric nature of the cluster-size heterogeneity.

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Woo Seong Jo, Su Do Yi, Seung Ki Baek, Beom Jun Kim. 2012-09-12. Cluster-size heterogeneity in the two-dimensional Ising model. https://doi.org/10.1103/physreve.86.032103

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