First order phase transition in Ising model on two connected Barabasi-Albert networks

Krzysztof Suchecki; Janusz A. Holyst

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arXiv · 0802.1499

First order phase transition in Ising model on two connected Barabasi-Albert networks

Krzysztof Suchecki·Janusz A. Holyst

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Abstract

We investigate the behavior of the Ising model on two connected Barabasi-Albert scale-free networks. We extend previous analysis and show that a first order temperature-driven phase transition occurs in such system. The transition between antiparalelly ordered networks to paralelly ordered networks is shown to be discontinuous. We calculate the critical temperature. We confirm the calculations with numeric simulations using Monte-Carlo methods.

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Krzysztof Suchecki, Janusz A. Holyst. 2008-02-11. First order phase transition in Ising model on two connected Barabasi-Albert networks. https://arxiv.org/abs/0802.1499

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