Three-dimensional 3-state Potts model revisited with new techniques |
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Institution: | 1. Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudinger Weg 7, 55099 Mainz, Germany;2. Matemàtiques Aplicades, Universitat Pompeu Fabra, La Rambla 32, 08002 Barcelona, Spain;1. Ruprecht-Karls-Universität Heidelberg, Seminarstraße 2, 69117, Heidelberg, Germany;2. GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstraße 1, 64291 Darmstadt, Germany;1. Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, D-85748 Garching, Germany;2. Instituto de Física Teórica, UAM-CSIC, Madrid, Spain;3. Fakultät für Physik, Technische Universität München, James-Franck-Str. 1, D-85748 Garching, Germany |
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Abstract: | We report a fairly detailed finite-size scaling analysis of the first-order phase transition in the three-dimensional 3-state Potts model on cubic lattices with emphasis on recently introduced quantities whose infinite-volume extrapolations are governed only by exponentially small terms. In these quantities no asymptotic power series in the inverse volume are involved which complicate the finite-size scaling behaviour of standard observables related to the specific-heat maxima or Binder-parameter minima. Introduced initially for strong first-order phase transitions in q-state Potts models with “large enough” q, the new techniques prove to be surprisingly accurate for a q value as small as 3. On the basis of the high-precision Monte Carlo data of Alves et al. Phys. Rev. B 43 (1991) 5846], this leads to a refined estimate of βt = 0.550 565(10) for the infinite-volume transition point. |
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