title: Ising model on two connected Barabasi-Albert networks.
abstract: We investigate analytically the behavior of the Ising model on two connected Barabasi-Albert networks. Depending on relative ordering of both networks there are two possible phases corresponding to parallel or antiparallel alignment of spins in both networks. A difference between critical temperatures of both phases disappears in the limit of vanishing inter-network coupling for identical networks. The analytic predictions are confirmed by numerical simulations.
authors.affiliation: Faculty of Physics and Center of Excellence for Complex Systems Research, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland. suchecki@if.pw.edu.pl
authors.forename: Krzysztof
authors.initials: K
authors.lastname: Suchecki
authors.forename: Janusz A
authors.initials: JA
authors.lastname: Hołyst