%0 Journal Article %1 Lv2012Scaling %A Lv, Jian P. %A Yang, Xianqing %A Deng, Youjin %D 2012 %I American Physical Society %J Physical Review E %K clusters, potts-model percolation lattice-models %P 022105+ %R 10.1103/physreve.86.022105 %T Scaling of cluster heterogeneity in the two-dimensional Potts model %U http://dx.doi.org/10.1103/physreve.86.022105 %V 86 %X 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 (2011); J. D. Noh et al. Phys. Rev. E 84 010101 (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.

@article{Lv2012Scaling, 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 (2011); J. D. Noh et al. Phys. Rev. E 84 010101 (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.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Lv, Jian P. and Yang, Xianqing and Deng, Youjin}, biburl = {https://www.bibsonomy.org/bibtex/25948718c3eab1c8b7b0cb56a7e0ef4ed/nonancourt}, citeulike-article-id = {11140988}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physreve.86.022105}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRE/v86/i2/e022105}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRE/v86/i2/e022105}, doi = {10.1103/physreve.86.022105}, interhash = {ddb23719292651f992890d40a39998c8}, intrahash = {5948718c3eab1c8b7b0cb56a7e0ef4ed}, journal = {Physical Review E}, keywords = {clusters, potts-model percolation lattice-models}, month = aug, pages = {022105+}, posted-at = {2012-08-27 16:34:53}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-08-01T15:36:09.000+0200}, title = {{Scaling of cluster heterogeneity in the two-dimensional Potts model}}, url = {http://dx.doi.org/10.1103/physreve.86.022105}, volume = 86, year = 2012 }