|
Miguel Ibanez de Berganza |
|
|
Universidad Autónoma de Madrid |
Abstract
The nature of the temperature-driven transition of the 2D-Potts model in
the lattice is studied, and the metastability associated with the transition. The
problem was firstly investigated by Binder [1,2] in 1981, who discussed the ex-
istence of metastable states in a temperature interval below the critial point,
which is first-order for q > 4. The existence of such metastable states remains
unclear. Starting from the droplet expansion theory for the 2D-Potts condensa-
tion point (Meunier & Morel, 2000 [3]), we compare the metastability derived
from the theory with the dynamic metastability found with a local dynamics.
In agreement with the droplet expansion, our analysis unveals a vanishing of
the metastable interval in the limit of large system area. This is interpreted in
terms of the microscopic mechanism of nucleation and compared with Classical
Nucleation Theory.
1 Binder, J. Stat. Phys. 24, 69 (1981).
2 see references in Ib´a˜nez, M., Loreto, V. and Petri, A., submitted to Phys.
Rev. E. Preprint: arXiv:0706.3534.
3 Meunier, J. L. and Morel, A., Eur. Phys. J. B 13, 341 (2000).