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

TL;DR

This paper studies the Ising model on two connected scale-free networks, revealing a first-order phase transition between different ordered states, confirmed through theoretical calculations and Monte Carlo simulations.

Contribution

It demonstrates a first-order phase transition in the Ising model on connected Barabasi-Albert networks, extending previous analyses with new theoretical and simulation results.

Findings

Discontinuous transition between antiparallel and parallel network orderings

Critical temperature calculated and validated by simulations

First-order phase transition identified in scale-free network systems

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.