Self-averaging and criticality: A comparative study in 2d random bond spin models

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dc.creatorFytas, N G
dc.creatorMalakis, A
dc.date2008-10-30
dc.date.accessioned2026-07-07T10:14:09Z
dc.date.available2026-07-07T10:14:09Z
dc.descriptionWe investigate and contrast, via the Wang-Landau (WL) algorithm, the effects of quenched bond randomness on the self-averaging properties of two Ising spin models in 2d. The random bond version of the superantiferromagnetic (SAF) square model with nearest- and next-nearest-neighbor competing interactions and the corresponding version of the simple ferromagnetic Ising model are studied. We find that, the random bond SAF model shows a strong violation of self-averaging, much stronger than that observed in the case of the random bond Ising model. Our analysis of the asymptotic scaling behavior of the variance of the distribution of the sample-dependent pseudocritical temperatures is found to be consistent with the renormalization group prediction of Aharony and Harris. Using this alternative approach, we find estimates of the correlation length exponent $ν$ in agreement with results obtained from the usual finite-size scaling (FSS) methodology.
dc.description10 pages, 3 figures, work presented at the International Conference in Statistical Physics ''SigmaPhi_2008'', Crete, Greece, 14-18 July 2008
dc.identifierhttps://arxiv.org/abs/0810.5438
dc.identifierhttp://arxiv.org/abs/0810.5438
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172783
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleSelf-averaging and criticality: A comparative study in 2d random bond spin models
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