Regensburg 2000 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 44: Phasenumwandlungen
DY 44.4: Vortrag
Donnerstag, 30. März 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.