Monte Carlo simulations of the Ising and the Sznajd model on growing Barabasi - Albert networks

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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6 pages including 3 figures, for IJMPC

Scientific paper

10.1142/S0129183103005364

The Ising model shows on growing Barabasi - Albert networks the same ferromagnetic behavior as on static Barabasi - Albert networks. Sznajd models on growing Barabasi - Albert networks show an hysteresis like behavior. Nearly a full consensus builds up and the winning opinion depends on history. On slow growing Barabasi - Albert networks a full consensus builds up. At five opinions in the Sznajd model with limited persuasion on growing Barabasi - Albert networks, all odd opinions win and all even opinions loose supporters.

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