Conformal mappings serve as useful tools for the determination of universal properties of critical models. Typical applications are subject to a major restriction, namely that the pertinent conformal mapping should lead to a geometry that can be investigated by means of numerical methods such as...

We have investigated the dynamic critical behavior of the two-dimensional 4-state Potts model using an alternative order parameter first used by Vanderzande [J. Phys. A 20 (1987) L549] in the study of the Z(5) model. We have estimated the global persistence exponent θg by following the time...

We propose a new cluster algorithm for the Baxter–Wu model that significantly reduces critical slowing down. We examine the behavior of the created clusters as we vary the temperature and then specify dynamic exponents. Comparison is made with the Metropolis algorithm and with the other...