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arXiv · 1602.01069

Unusual ferromagnetism in Ising and Potts model on semi-directed Barab\'asi-Albert networks

Muneer A. Sumour·F. W. S. Lima
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Abstract

We check the existence of a spontaneous magnetisation of Ising and Potts spins on semi-directed Barabasi-Albert networks by Monte Carlo simulations. We verified that the magnetisation for different temperatures $T$ decays after a characteristic time $\tau(T)$, which we extrapolate to diverge at positive temperatures $T_c(N)$ by a Vogel-Fulcher law, with $T_c(N)$ increasing logarithmically with network size $N$.

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Muneer A. Sumour, F. W. S. Lima. 2016-02-02. Unusual ferromagnetism in Ising and Potts model on semi-directed Barab\'asi-Albert networks. https://arxiv.org/abs/1602.01069

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