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DY: Dynamik und Statistische Physik

DY 44: Phasenumwandlungen

DY 44.4: Talk

Thursday, March 30, 2000, 15:15–15:30, H2

Non-Self Averaging in Autocorrelations for Potts Models on Quenched Random Gravity Graphs — •Wolfhard Janke¹ und Desmond Johnston² — ¹Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10/11, 04109 Leipzig — ²Department of Mathematics, Heriot-Watt University, Edinburgh, EH14 4AS, Scotland

We investigate the non-self-averaging properties of the Ising, 4-state Potts and 10-state Potts models on quenched ensembles of planar, trivalent (Φ³) random lattices, which we use as an example of relevant quenched connectivity disorder. We employ a novel application of scaling techniques to the cumulative probability function 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 lattices, the method has quite general applicability.