title: Cluster-size heterogeneity in the two-dimensional Ising model.
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.
authors.affiliation: BK21 Physics Research Division and Department of Physics, Sungkyunkwan University, Suwon 440-746, Korea.
authors.forename: Woo Seong
authors.initials: WS
authors.lastname: Jo
authors.forename: Su Do
authors.initials: SD
authors.lastname: Yi
authors.forename: Seung Ki
authors.initials: SK
authors.lastname: Baek
authors.forename: Beom Jun
authors.initials: BJ
authors.lastname: Kim