Non-Self Averaging in Autocorrelations for Potts Models on Quenched Random Gravity Graphs

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dc.creatorJanke, Wolfhard
dc.creatorJohnston, Desmond A.
dc.date1999-11-26
dc.date.accessioned2026-07-07T10:51:44Z
dc.date.available2026-07-07T10:51:44Z
dc.descriptionWe investigate the non-self-averaging properties of the dynamics of Ising, 4-state Potts and 10-state Potts models in single-cluster Monte Carlo simulations on quenched ensembles of planar, trivalent Phi3 random graphs, which we use as an example of relevant quenched connectivity disorder. We employ a novel application of scaling techniques to the cumulative probability distribution of the autocorrelation times for both the energy and magnetisation in order to discern non-self-averaging. Although the specific results discussed here are for quenched random graphs, the method has quite general applicability.
dc.description9 pages + 11 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9911443
dc.identifierhttp://arxiv.org/abs/cond-mat/9911443
dc.identifierJ.Phys.A33:2653-2662,2000
dc.identifierdoi:10.1088/0305-4470/33/14/304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184923
dc.subjectStatistical Mechanics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Lattice
dc.titleNon-Self Averaging in Autocorrelations for Potts Models on Quenched Random Gravity Graphs
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