Phase separation of the Potts model in the square lattice
Dipartimento di Fisica, Università di Roma “La Sapienza”, Piazzale A. Moro 2, 00185 Roma, Italy
2 Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 Córdoba, Argentina
3 CNR, Istituto dei Sistemi Complessi, Sede di Roma 2-Tor Vegata, via del Fosso del Cavaliere 100, 00133 Roma, Italy
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.
© EDP Sciences, Springer-Verlag, 2007