Simulation of majority rule disturbed by power-law noise

Simple item page
dc.creatorStauffer, D.
dc.creatorKulakowski, K.
dc.date2007-09-24
dc.date.accessioned2026-07-07T08:31:51Z
dc.date.available2026-07-07T08:31:51Z
dc.descriptionSimulations 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.
dc.description8 pages including 8 figures
dc.identifierhttps://arxiv.org/abs/0709.3811
dc.identifierhttp://arxiv.org/abs/0709.3811
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138624
dc.subjectStatistical Mechanics
dc.titleSimulation of majority rule disturbed by power-law noise
dc.typetext

Files

Collections

arXiv