Zusammenfassung
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)
Nutzer