Dresden 2014 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 8: Critical Phenomena and Phase Transitions
DY 8.3: Vortrag
Montag, 31. März 2014, 15:30–15:45, ZEU 118
Simulated tempering and magnetizing Monte Carlo study of crossover scaling in the 2d 3-state Potts model — Tetsuro Nagai1, Yuko Okamoto1, and •Wolfhard Janke2 — 1Department of Physics, Nagoya University, Nagoya, Aichi 464-8602, Japan — 2Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, 04009 Leipzig, Germany
The recently introduced simulated tempering and magnetizing (STM) Monte Carlo method is a variant of generalized ensemble algorithms that aims at covering a mesh of simulation points in the two-dimensional temperature-field plane in a dynamically controlled manner. We applied 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 160× 160 spins, supplemented by conventional canonical simulations of larger lattices at selected simulation points. Careful scaling and finite-size scaling analyses of the crossover behaviour with respect to temperature, magnetic field and lattice size will be discussed.
T. Nagai, Y. Okamoto, and W. Janke, J. Stat. Mech.: Theor. Exp. (2013) P02039; Condens. Matter Phys. 16 (2013) 23605.