Non-self-averaging in autocorrelations for Potts models on quenched random gravity graphs

Wolfhard Janke, Desmond A. Johnston

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


We 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 (F3) 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 magnetization in order to discern non-self-averaging. Although the specific results discussed here are for quenched random graphs, the method has quite general applicability.

Original languageEnglish
Pages (from-to)2653-2662
Number of pages10
JournalJournal of Physics A: Mathematical and General
Issue number14
Publication statusPublished - 14 Apr 2000


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