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Solution of the constrained Potts model in the mean-field limit


Glumac, Zvonko; Uzelac, Katarina
Solution of the constrained Potts model in the mean-field limit // MECO 31
Primosten, Hrvatska, 2006. (poster, međunarodna recenzija, sažetak, znanstveni)


Naslov
Solution of the constrained Potts model in the mean-field limit

Autori
Glumac, Zvonko ; Uzelac, Katarina

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
MECO 31 / - , 2006

Skup
Conference of the Middle European Cooperation in Statistical Physics - MECO 31

Mjesto i datum
Primosten, Hrvatska, 23-26.04.2006.

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Potts model; mean-field; phase transition; partition function zeros

Sažetak
We study the q-state Potts model with constraint that each spin can assume only (q-1) of possible q states, the inaccessible state being chosen at random through the lattice. In the mean-field limit the exact analytic solution can be derived. We present the results for the cases q=3 and q=4, which exhibit the second and first-order phase transition respectively. We also examine the partition function zeros in the complex-temperature plane for this model. The convergence of the zero closest to the real axis can be related to the critical exponent $\nu$ and confirms the results obtained for the critical exponents in the case q=3 and for the first-order character of the transition in the case q=4.

Izvorni jezik
Engleski

Znanstvena područja
Fizika



POVEZANOST RADA


Projekt / tema
0035007

Ustanove
Sveučilište u Osijeku, Odjel za matematiku