Absence of ferromagnetism in Ising model on directed Barabasi-Albert network

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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Islamic University Conference, Gaza, March 2005; for the university Magazine

Scientific paper

With up to 7 million spins, the existence of spontaneous magnetization of Ising spins on directed Barabasi-Albert networks is investigated by Monte Carlo simulations. We confirm our earlier result that the magnetization for different temperatures T decays after a characteristic time tau(T), which we extrapolate to diverge at zero temperature by a modified Arrhenius law,or perhaps a power law.

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