Unusual ferromagnetism in Ising and Potts model on semi-directed Barabási-Albert networks

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作者
Muneer A. Sumour
F. W. S. Lima
机构
[1] Al-Aqsa University,Physics Department
[2] Universidade Federal do Piauí,Dietrich Stauffer Computational Physics Lab, Departamento de Física
关键词
Potts Model; Ising Model; Network Size; Thermal Error; Monte Carlo Step;
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摘要
We check the existence of a spontaneous magnetisation of Ising and Potts spins on semi-directed Barabasi-Albert networks by Monte Carlo simulations. We verify that the magnetisation for different temperatures T decays after a characteristic time τ(T), which we extrapolate to diverge at positive temperatures Tc(N) by a Vogel-Fulcher law, with Tc(N) increasing logarithmically with network size N.
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