Ising model on two connected Barabasi-Albert networks

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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6 pages including 6 figures

Scientific paper

10.1103/PhysRevE.74.011122

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.

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