Naslov
Complex-q zeros of the partition function of the one-dimensional Potts model with power-law decaying interactions

Autori
Glumac, Zvonko ; Uzelac, Katarina

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

Izvornik
27th Conference of the Middle European Cooperation in Statistical Physics (MECO 27) / - , 2002, 75-75

Skup
Conference of the Middle European Cooperation in Statistical Physics - MECO 27

Mjesto i datum
Sopron, Mađarska, 07.03.2002. - 09.03.2002

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Phase transitions ; q-state Potts model ; Complex-q zeros

Sažetak
We have performed exact analytical calculations of the partition function of the one-dimensional ferromagnetic q-state Potts model with interactions decaying with distance r as r^{; ; ; ; ; -(1 + \sigma)}; ; ; ; ; on finite chains of N \leq 13 sites. The partition function is presented in form of the polynomial in q, and its zeros in complex-q plane were evaluated numerically. The zeros are found to lie on the circle-like contours, which form a gap around the positive real q-axis. We study the scaling of the edge zeroes in function of size N in order to determine the phase diagram, order of transition and critical exponents.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

POVEZANOST RADA