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On directed and undirected Barabasi-Albert networks the Ising model with spinS=1/2 in the presence of a kind of noise is now studied through Monte Carlosimulations. The noise spectrum P(n) follows a power law, where P(n) is theprobability of flipping randomly select n spins at each time step. The noisespectrum P(n) is introduced to mimic the self-organized criticality as a modelinfluence of a complex environment. In this model, different from the squarelattice, the order-disorder phase transition of the order parameter is notobserved. For directed Barabasi-Albert networks the magnetisation tends to zeroexponentially and for undirected Barabasi-Albert networks, it remains constant.

Simulation of majority rule disturbed by power-law noise on directed and undirected Barabasi-Albert networks