Condensed Matter Physics, 2013, vol. 16, No. 2, p. 23605:1-8
DOI:10.5488/CMP.16.23605           arXiv:1307.3865

Title: Crossover scaling in the two-dimensional three-state Potts model
Author(s):
  T. Nagai (Department of Physics, Graduate School of Science, Nagoya University, Nagoya, Aichi 464-8602, Japan) ,
  Y. Okamoto (Department of Physics, Graduate School of Science, Nagoya University, Nagoya, Aichi 464-8602, Japan; Structural Biology Research Center, Graduate School of Science, Nagoya University, Nagoya, Aichi 464-8602, Japan; Center for Computational Science, Graduate School of Engineering, Nagoya University, Nagoya, Aichi 464-8603, Japan; Information Technology Center, Nagoya University, Nagoya, Aichi 464-8601, Japan) ,
  W. Janke (Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, 04009 Leipzig, Germany; Centre for Theoretical Sciences (NTZ), Universität Leipzig, Postfach 100 920, 04009 Leipzig, Germany)

We apply simulated tempering and magnetizing (STM) Monte Carlo simulations to the two-dimensional three-state Potts model in an external magnetic field in order to investigate the crossover scaling behaviour in the temperature-field plane at the Potts critical point and towards the Ising universality class for negative magnetic fields. Our data set has been generated by STM simulations of several square lattices with sizes up to 160x160 spins, supplemented by conventional canonical simulations of larger lattices at selected simulation points. We present careful scaling and finite-size scaling analyses of the crossover behaviour with respect to temperature, magnetic field and lattice size.

Key words: three-state Potts model, phase transitions, critical phenomena, crossover scaling, Monte Carlo (MC) simulations, simulated tempering and magnetizing (STM)
PACS: 64.60.De, 75.30.Kz, 75.10.Hk, 05.10.Ln


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