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


Glumac, Zvonko; Uzelac, Katarina
Complex-q zeros of the partition function of the one-dimensional Potts model with power-law decaying interactions // MECO 27
Sopron, Madjarska, 2002. (poster, međunarodna recenzija, sažetak, znanstveni)


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
MECO 27 / - , 2002

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

Mjesto i datum
Sopron, Madjarska, 7-9.03.2002.

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


Projekt / tema
0035007

Ustanove
Institut za fiziku, Zagreb