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Ising model on two connected Barabasi-Albert networks

Krzysztof Suchecki·Janusz A. Holyst
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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.

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Krzysztof Suchecki, Janusz A. Holyst. 2006-03-26. Ising model on two connected Barabasi-Albert networks. https://doi.org/10.1103/physreve.74.011122

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