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

2008/02/11 by Krzysztof Suchecki, Suchecki, Krzysztof, Janusz A. Holyst +1
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.0802.1499

6 pages, 8 figures

arxiv created 2008/02/11 · arxiv updated 2009/12/01

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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