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Monte Carlo Simulations of the 3D Ashkin–Teller Model: continuous phase transition lines
Author(s) -
Musiał G.,
Dębski L.,
Kamieniarz G.
Publication year - 2003
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200301699
Subject(s) - ising model , monte carlo method , statistical physics , scaling , phase transition , universality (dynamical systems) , physics , lattice (music) , phase diagram , condensed matter physics , monte carlo method in statistical physics , dynamic monte carlo method , critical line , critical exponent , hybrid monte carlo , renormalization group , phase (matter) , mathematics , quantum mechanics , markov chain monte carlo , geometry , statistics , acoustics
Large‐scale Monte Carlo simulations, based on the invariance of the Binder cumulant Q , for continuous phase transitions in the three‐dimensional Ashkin–Teller spin‐lattice model on a cubic lattice, have been performed. Using the universality hypotesis and the finite‐size‐scaling analysis, the Ising character of phase transitions from the antiferro‐ to paramagnetic phase, where the cumulant Q behavior is different than in the Ising model, is demonstrated. Some preliminary results demonstrating the existance of the tricritical points are also presented.