Dresden 2003 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.103: Poster

Donnerstag, 27. März 2003, 15:30–18:00, P1

q-state Potts models on quenched random planar φ³ graphs — •Andreas Wernecke and Wolfhard Janke — Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10/11, 04109 Leipzig, Germany

Using Monte Carlo simulation techniques we have investigated the critical properties of Potts models on a quenched ensemble of random planar φ³ graphs. The determined critical exponents for q=3 are significantly different from the regular exponents and thus this connectivity disorder is relevant. We have as well focused on non-selfaveraging properties which might be explained by the interrelation between the baby universe structure of the graphs and thermodynamic quantities. Geometrical properties of the graphs have been analysed as well.