Simulation of majority rule disturbed by power-law noise

Details Simulation of majority rule disturbed by power-law noise Simulation of majority rule disturbed by power-law noise

2007-09-24

arxiv.org/abs/0709.3811v1

Physics

Condensed Matter

Statistical Mechanics

8 pages including 8 figures

Scientific paper

Simulations are reported on the Ising two-dimensional ferromagnet in the presence of a special kind of noise. The noise spectrum P(n) follows a power law, where P(n) is the probability of flipping randomly selected n spins at each timestep. This is introduced to mimic the self-organized criticality as a model influence of a complex environment. We reproduced the phase transition similar to the case of P(n) = constant. Above some value of the noise amplitude the magnetisation tends to zero; otherwise it remains constant after some relaxation. Information of the initial spin orientation remains preserved to some extent by short-range spin-spin correlations. The distribution of the times between flips is exponential. The results are discussed as a step towards modeling of social systems.

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