Monte Carlo Study of the Critical Behavior of Random Bond Potts Models

dc.creatorOlson, T.
dc.creatorYoung, A. P.
dc.date1999-03-04
dc.date1999-08-30
dc.date.accessioned2026-07-07T12:16:43Z
dc.date.available2026-07-07T12:16:43Z
dc.descriptionWe present results of Monte Carlo simulations of random bond Potts models in two dimensions, for different numbers of Potts states, q. We introduce a simple scheme which yields continuous self-dual distributions of the interactions. As expected, we find multifractal behavior of the correlation functions at the critical point and obtain estimates of the exponent eta_n for several moments, n, of the correlation functions, including typical (n -> 0), average (n=1) and others. In addition, for q=8, we find that there is only a single correlation length exponent describing the correlation length away from criticality. This is numerically very close to the pure Ising value of unity.
dc.description9 pages, 11 postscript figures, corrected typos, added references
dc.identifierhttps://arxiv.org/abs/cond-mat/9903068
dc.identifierhttp://arxiv.org/abs/cond-mat/9903068
dc.identifierPhys.Rev.B60:3428,1999
dc.identifierdoi:10.1103/PhysRevB.60.3428
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211890
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleMonte Carlo Study of the Critical Behavior of Random Bond Potts Models
dc.typetext

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