%0 Book Section %1 statphys23_0809 %A Glumac, Z. %A Uzelac, K. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K dynamics first-order interactions long-range model potts short-time statphys23 threshold topic-2 transition %T Short-time dynamics of the 1D three-state long-range Potts model %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=809 %X 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)

@incollection{statphys23_0809, abstract = {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)}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Glumac, Z. and Uzelac, K.}, biburl = {https://www.bibsonomy.org/bibtex/2c5aedd7b29ed249e9abba5f57c22eb71/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {13b8cc058e468a90c096739c1c4b3bf1}, intrahash = {c5aedd7b29ed249e9abba5f57c22eb71}, keywords = {dynamics first-order interactions long-range model potts short-time statphys23 threshold topic-2 transition}, month = {9-13 July}, timestamp = {2007-06-20T10:16:29.000+0200}, title = {Short-time dynamics of the 1D three-state long-range Potts model}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=809}, year = 2007 }