The critical amplitude ratio of the susceptibility in the random-site two-dimensional Ising model

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dc.creatorShchur, Lev N.
dc.creatorVasilyev, Oleg A.
dc.date2001-08-23
dc.date2001-12-14
dc.date.accessioned2026-07-07T12:16:35Z
dc.date.available2026-07-07T12:16:35Z
dc.descriptionWe present a new way of probing the universality class of the site-diluted two-dimensional Ising model. We analyse Monte Carlo data for the magnetic susceptibility, introducing a new fitting procedure in the critical region applicable even for a single sample with quenched disorder. This gives us the possibility to fit simultaneously the critical exponent, the critical amplitude and the sample dependent pseudo-critical temperature. The critical amplitude ratio of the magnetic susceptibility is seen to be independent of the concentration $q$ of the empty sites for all investigated values of $q\le 0.25$. At the same time the average effective exponent $γ_{eff}$ is found to vary with the concentration $q$, which may be argued to be due to logarithmic corrections to the power law of the pure system. This corrections are canceled in the susceptibility amplitude ratio as predicted by theory. The central charge of the corresponding field theory was computed and compared well with the theoretical predictions.
dc.description6 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0108369
dc.identifierhttp://arxiv.org/abs/cond-mat/0108369
dc.identifierPhys.Rev.E65:016107,2002
dc.identifierdoi:10.1103/PhysRevE.65.016107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211847
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.subjectHigh Energy Physics - Lattice
dc.titleThe critical amplitude ratio of the susceptibility in the random-site two-dimensional Ising model
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