Phase separation of the Potts model in que square lattice
Statistical Mechanics
2018-07-19 v1
Abstract
When the two dimensional q-color Potts model in the square lattice is quenched at zero temperature with Glauber dynamics, the energy decreases in time following an Allen-Cahn power law, and the system converges to a phase with energy higher than the ground state energy after an arbitrary large time when q>4. At low but finite temperature, it cesses to obey the power-law regime and orders after a very long time, which increases with q, and before which it performs a domain growth process which tends to be slower as q increases. We briefly present and comment numerical results on the ordering at nonzero temperature.
Keywords
Cite
@article{arxiv.cond-mat/0610039,
title = {Phase separation of the Potts model in que square lattice},
author = {Miguel Ibanez de Berganza and Ezequiel E. Ferrero and Sergio A. Cannas and Vittorio Loreto and Albert Petri},
journal= {arXiv preprint arXiv:cond-mat/0610039},
year = {2018}
}
Comments
3 pages, 1 figure, proceedings of the "International Workshop on Complex sytems", June 2006 in Santander (Spain)