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Solution of the constrained Potts model in the mean-field limit (CROSBI ID 516978)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Glumac, Zvonko ; Uzelac, Katarina Solution of the constrained Potts model in the mean-field limit // MECO 31. 2006. str. 64-64

Podaci o odgovornosti

Glumac, Zvonko ; Uzelac, Katarina

engleski

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

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.

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

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Podaci o prilogu

64-64.

2006.

objavljeno

Podaci o matičnoj publikaciji

MECO 31

Podaci o skupu

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

poster

23.04.2006-26.04.2006

Primošten, Hrvatska

Povezanost rada

Fizika