title: Bistable-monostable transition in the Ising model on two connected complex networks.
abstract: In this paper, we investigate the behavior of the Ising model on two sparsely connected complex networks. The networks have the topology of a random graph or Barabási and Albert scale-free networks. We extend our previous analysis and show that a bistable-monostable phase transition occurs in such systems. During this transition, the magnetization undergoes a discontinuous jump. We calculate the critical temperature analytically for regular random graphs and study a more general case using an iterative map corresponding to mean-field dynamics. The calculations are confirmed by numeric simulations based on Monte Carlo approach.
authors.affiliation: Faculty of Physics, Center of Excellence for Complex Systems Research, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland. ksucheck@gmail.com
authors.forename: Krzysztof
authors.initials: K
authors.lastname: Suchecki
authors.forename: Janusz A
authors.initials: JA
authors.lastname: Hołyst