Yang-Lee zeros and the critical behavior of the infinite-range two- and three-state Potts models (CROSBI ID 191088)
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Podaci o odgovornosti
Glumac, Zvonko ; Uzelac, Katarina
engleski
Yang-Lee zeros and the critical behavior of the infinite-range two- and three-state Potts models
The phase diagram of the two- and three-state Potts model with infinite-range interactions in the external field is analyzed by studying the partition function zeros in the complex field plane. The tricritical point of the three-state model is observed as the approach of the zeros to the real axis at the nonzero field value. Different regimes, involving several first- and second-order transitions of the complicated phase diagram of the three-state model, are identified from the scaling properties of the zeros closest to the real axis. The critical exponents related to the tricritical point and the Yang-Lee edge singularity are well reproduced. Calculations are extended to the negative fields, where the exact implicit expression for the transition line is derived.
Potts model ; Yang-Lee zeros ; infinite-range interactions
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Podaci o izdanju
87 (2)
2013.
022140
10
objavljeno
1539-3755
1550-2376
10.1103/PhysRevE.87.022140