Absence of ferromagnetism in ising model on directed barabasi-albert network

Abstract EN

With up to 7 million spins, the existence of spontaneous magnetization of Ising spins on Directed Barabasi –Albert network is investigated by Monte Carlo simulations.

We confirm our earlier result that the systems magnetization for different temperatures T decays after a characteristic time (tau) t (T), which is extrapolated to diverge at zero temperature, by a modified Arrhenius law, or perhaps a power law.