Naslov
Yang-Lee zeros and the critical behavior of the infinite-range two- and three-state Potts models

Autori
Glumac, Zvonko ; Uzelac, Katarina

Izvornik
Physical review. E, Statistical, nonlinear, and soft matter physics (1539-3755) 87 (2013), 2; 022140, 10

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Potts model ; Yang-Lee zeros ; infinite-range interactions

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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