Dynamic metastability in the two-dimensional Potts model

Details Dynamic metastability in the two-dimensional Potts model Dynamic metastability in the two-dimensional Potts model

2007-06-24

arxiv.org/abs/0706.3534v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, 4 figures

Scientific paper

We have studied the dynamics just below the temperature-driven critical point of the 2D q-color Potts model in the square lattice, for q=8,12,24. For finite-size systems, a metastable quasi-steady regime a' la Binder is observed, which we characterize by means of the nucleation and relaxation times of the metastable phase. This phase is no longer observed below a given temperature at which the relaxation time of the fluid becomes of the order of the times involved on the nucleation processes. However, this temperature, which decreases for increasing q, converges to the critical temperature of the model for increasing sizes and fixed q, and no metastability is supposed to exist in the thermodynamic limit. These results agree with the droplet expansion performed for the 2D Potts model by Meunier and Morel (J. L. Meunier, A. Morel, Eur. Phys. J. B 13, p. 341 (2000)).

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