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Complex-q zeros of the partition function of the Potts model with long-range interactions


Glumac, Zvonko; Uzelac, Katarina
Complex-q zeros of the partition function of the Potts model with long-range interactions // Physica A: Statistical Mechanics and its Applications, 310 (2002), 1-2; 91-108 (međunarodna recenzija, članak, znanstveni)


Naslov
Complex-q zeros of the partition function of the Potts model with long-range interactions
(Complex-q zeros of the partition function of the Potts model with long-range interaction)

Autori
Glumac, Zvonko ; Uzelac, Katarina

Izvornik
Physica A: Statistical Mechanics and its Applications (0378-4371) 310 (2002), 1-2; 91-108

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

Ključne riječi
Fazni prijelazi; Pottsov model; nule particijske funkcije; dugodosezna medjudjelovanja
(Phase transitions; q-State Potts model; Complex-q zeros; Long-range interactions)

Sažetak
The zeros of the partition function of the ferromagnetic q-state Potts model with long-range interactions in the complex-q plane are studied in the mean-field case, while preliminary numerical results are reported for the finite 1d chains with power-law decaying interactions. In both cases, at any fixed temperature, the zeros lie on the arc-shaped contours, which cross the positive real axis at the value for which the given temperature is transition temperature. For finite number of spins the positive real axis is free of zeros, which approach to it in the thermodynamic limit. The convergence exponent of the zero closest to the positive real-q axis is found to have the same value as the temperature critical exponent 1/small nu, Greek.

Izvorni jezik
Engleski

Znanstvena područja
Fizika



POVEZANOST RADA


Projekt / tema
0035007

Ustanove
Institut za fiziku, Zagreb

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


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