Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-10-30
Physics
Condensed Matter
Statistical Mechanics
10 pages, 3 figures, work presented at the International Conference in Statistical Physics ''SigmaPhi_2008'', Crete, Greece, 1
Scientific paper
We 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 $\nu$ in agreement with results obtained from the usual finite-size scaling (FSS) methodology.
Fytas Nikolaos G.
Malakis Anastasios
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