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Short-time dynamics of the 1D three-state long-range Potts model

Glumac, Zvonko; Uzelac, Katarina
Short-time dynamics of the 1D three-state long-range Potts model // Statphys 23, Genova 2007
Genova, Italija, 2007. (poster, međunarodna recenzija, sažetak, znanstveni)

Short-time dynamics of the 1D three-state long-range Potts model

Glumac, Zvonko ; Uzelac, Katarina

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

Statphys 23, Genova 2007 / - , 2007

Statphys 23, XXIII IUPAP International Conference on Statistical Physics

Mjesto i datum
Genova, Italija, 09-13.07.2007.

Vrsta sudjelovanja

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Long-range interactions; Potts model; first-order phase transitions

We investigate the short-time dynamics of the one-dimensional q = 3 Potts model with a power-law decaying interactions of the form $r− (1+\sigma)$. This model is known to exhibit both first- and second-order transition regimes, which depend on the parameter of range $\sigma$ and are separated by a q-dependent tricritical point sigma_c(q) [1]. The location of this point, where the first-order transition becomes extremely weak presents difficulties both for RG approaches and for equilibrium numerical simulations [2-3]. We examine the first-order transition regime and its onset at sigma_c by dynamic Monte Carlo simulations, which recently appeared to be efficient in detecting weak first-order phase transitions [4]. We consider the short-time relaxation processes for magnetization and its higher momenta starting from high and low temperatures. We analyse the appearance of two pseudo critical temperatures characteristic for the first-order transition regime, which should merge at the tricritical point. [1] Z. Glumac and K. Uzelac, Phys. Rev. E 58, 4372 (1998) [2] E. Bayong, H. T. Diep, V. Dotsenko, Phys. Rev. Lett. 83, 14 (1999) ; K. Uzelac and Z. Glumac, Phys. Rev. Lett. 85, 5255 (2000) [3] Sylvain Reynal, Hung-The Diep, Phys. Rev. E 69, 026109 (2004) [4] L. Schuelke nad B. Zhang, Phys. Rev. E 62, 7482 (2000)

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Projekt / tema
035-0000000-3187 - Kriticne pojave i sustavi izvan ravnoteze (Katarina Uzelac, )

Institut za fiziku, Zagreb