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

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

2008-02-11

arxiv.org/abs/0802.1499v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 8 figures

Scientific paper

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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