Ising model on two connected Barabasi-Albert networks

Abstract

We investigate analytically the behavior of 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 alingment 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.

6 pages including 6 figures

References in corpus (1)

• Magnetization reversal in spin patterns with complex geometry

Cited by in corpus (3)

• Majority Model on a network with communities
• Griffiths singularities and algebraic order in the exact solution of an Ising model on a fractal modular network
• Phase of Ising spins on modular networks analogous to social polarization