title: Bond-site duality and nature of the explosive-percolation phase transition on a two-dimensional lattice.
abstract: To establish the bond-site duality of explosive percolations in two dimensions, the site and bond explosive-percolation models are carefully defined on a square lattice. By studying the cluster distribution function and the behavior of the second largest cluster, it is shown that the duality in which the transition is discontinuous exists for the pairs of the site model and the corresponding bond model which relatively enhances the intrabond occupation. In contrast the intrabond-suppressed models which have no corresponding site models undergo a continuous transition and satisfy the normal scaling ansatz as ordinary percolation.
authors.affiliation: Department of Physics and Research Institute for Basic Sciences, Kyung Hee University, Seoul 130-701, Korea.
authors.forename: Woosik
authors.initials: W
authors.lastname: Choi
authors.forename: Soon-Hyung
authors.initials: SH
authors.lastname: Yook
authors.forename: Yup
authors.initials: Y
authors.lastname: Kim
mesh_terms: D001665:Binding Sites; D003102:Colloids / Q000737:chemistry*; D003198:Computer Simulation; D008956:Models, Chemical; D008958:Models, Molecular; D044367:Phase Transition
chemical_list: D003102:Colloids