%0 Book Section %1 statphys23_1087 %A nez De Berganza, M. Ibá\ %A Loreto, V. %A Petri, A. %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 dynamic mechanics metastability model non-equilibrium potts statistical statphys23 topic-3 %T Dynamic metastability in the 2D Potts model %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1087 %X We have studied the undercritical dynamics associated with the temperature-driven transition of the 2D $q$-colors Potts model in the square lattice, for $q=8,12,24$, and various lattice sizes. For finite-size systems, a metastable quasi-steady regime à la Binder is observed, regime which we characterize by means of the nucleation and relaxation times of the metastable phase. This phase is no longer observed below a given temprature, $T_sp$, at which the relaxation time of the fluid becomes of the order of the times involved on the nucleation processes. However, this temperature converges to the critical temperature of the model for increasing sizes, and no metastability is supposed to exist in the thermodynamic limit. These results agree with both the mean-field approximation and the droplet expansion performed for the 2D Potts model by Meunier and Morel ( J. L. Meunier, A. Morel, Eur. Phys. J. B 13 341 (2000) ).

@incollection{statphys23_1087, abstract = {We have studied the undercritical dynamics associated with the temperature-driven transition of the 2D $q$-colors Potts model in the square lattice, for $q=8,12,24$, and various lattice sizes. For finite-size systems, a metastable quasi-steady regime \textit{\`a la} Binder is observed, regime which we characterize by means of the nucleation and relaxation times of the metastable phase. This phase is no longer observed below a given temprature, $T_{sp}$, at which the relaxation time of the fluid becomes of the order of the times involved on the nucleation processes. However, this temperature converges to the critical temperature of the model for increasing sizes, and no metastability is supposed to exist in the thermodynamic limit. These results agree with both the mean-field approximation and the droplet expansion performed for the 2D Potts model by Meunier and Morel ( J. L. Meunier, A. Morel, Eur. Phys. J. B \textbf{13} 341 (2000) ).}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {nez De Berganza, M. Ib\'a\ and Loreto, V. and Petri, A.}, biburl = {https://www.bibsonomy.org/bibtex/20cf8a56f0a5cfb02ad43643e7703ce07/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {f8422e20d85f2d6da100e78150a01561}, intrahash = {0cf8a56f0a5cfb02ad43643e7703ce07}, keywords = {dynamic mechanics metastability model non-equilibrium potts statistical statphys23 topic-3}, month = {9-13 July}, timestamp = {2007-06-20T10:16:38.000+0200}, title = {Dynamic metastability in the 2D Potts model}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1087}, year = 2007 }