Abstract
Simulations are reported on the Ising two-dimensional ferromagnetin the presence of a special kind of noise. The noise spectrumP(n) follows a powerlaw, where P(n) is theprobability of flipping n randomly selected spins at each timestep. This is introduced to mimic the self-organizedcriticality as a model influence of a complex environment. We reproduced the phasetransition in a way that is similar to the 1992 model of de Oliveira. Above some value ofthe noise amplitude the magnetization tends to zero; otherwise it remains constant aftersome relaxation. Information of the initial spin orientation remains preserved to someextent by short-range spin–spin correlations. The distribution of the times between flips isexponential. The results are discussed as a step towards modelling of social systems.
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