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Berlin 2008 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 14: Statistical physics II (general)

DY 14.4: Talk

Tuesday, February 26, 2008, 15:00–15:15, MA 004

Numerical estimation of Baxter-Wu critical amplitudes — •Wolfhard Janke1 and Lev N. Shchur21Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, 04009 Leipzig, Germany — 2Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia

We report a Monte Carlo simulation study of the critical and off-critical behaviour of the Baxter-Wu model. The critical temperature window is estimated by using known exact results for the specific heat and magnetization. This helps us to extract the universal ratio Γ+ of the susceptibility amplitudes. Such ratios have recently been determined numerically for the 2D q-state Potts model with q=2, 3, and 4, where deviations from the theoretical predictions by Delfino and Cardy were found for q=4. It was speculated that this deviation could be explained by the relatively strong multiplicative logarithmic corrections to the leading scaling behaviour. Since the Baxter-Wu model belongs to the same universality class as the 4-state Potts model, but does not exhibit logarithmic corrections, our results for the ratio Γ+ of the Baxter-Wu model shed some new light on this puzzle.

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