title: Scaling of cluster heterogeneity in the two-dimensional Potts model.
abstract: Cluster heterogeneity, the number of clusters of mutually distinct sizes, has been recently studied for explosive percolation and standard percolation [H. K. Lee et al., Phys. Rev. E 84, 020101(R) (2011); J. D. Noh et al., Phys. Rev. E 84, 010101(R) (2011)]. In this work we study the scaling of various quantities related with cluster heterogeneity in a broader context of two-dimensional q-state Potts model. We predict, via an analytic approach, the critical exponents for most of the measured quantities, and confirm these predications for various q values using extensive Monte Carlo simulations.
authors.affiliation: Department of Physics, China University of Mining and Technology, Xuzhou 221116, PR China.
authors.forename: Jian-Ping
authors.initials: JP
authors.lastname: Lv
authors.forename: Xianqing
authors.initials: X
authors.lastname: Yang
authors.forename: Youjin
authors.initials: Y
authors.lastname: Deng