title: Critical behavior of the Ising model in annealed scale-free networks.
abstract: We study the critical behavior of the Ising model in annealed scale-free (SF) networks of finite system size with forced upper cutoff in degree. By mapping the model onto the weighted fully connected Ising model, we derive analytic results for the finite-size scaling (FSS) near the phase transition, characterized by the cutoff-dependent two-parameter scaling with four distinct scaling regimes, in highly heterogeneous networks. These results are essentially the same as those found for the nonequilibrium contact process in annealed SF networks, except for an additional complication due to the trivial critical point shift in finite systems. The discrepancy of the FSS theories between annealed and quenched SF networks still remains in the equilibrium Ising model, like some other nonequilibrium models. All of our analytic results are confirmed reasonably well by numerical simulations.
authors.affiliation: Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea.
authors.forename: Sang Hoon
authors.initials: SH
authors.lastname: Lee
authors.forename: Meesoon
authors.initials: M
authors.lastname: Ha
authors.forename: Hawoong
authors.initials: H
authors.lastname: Jeong
authors.forename: Jae Dong
authors.initials: JD
authors.lastname: Noh
authors.forename: Hyunggyu
authors.initials: H
authors.lastname: Park
mesh_terms: D003198:Computer Simulation; D004574:Electromagnetic Fields; D008956:Models, Chemical; D015233:Models, Statistical; D044367:Phase Transition; D012212:Rheology / Q000379:methods*; D012996:Solutions / Q000737:chemistry* / Q000528:radiation effects*
chemical_list: D012996:Solutions