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Phase separation of the Potts model in que square lattice

Miguel Ibanez de Berganza·Ezequiel E. Ferrero·Sergio A. Cannas·Vittorio Loreto·Albert Petri
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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.

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Miguel Ibanez de Berganza, Ezequiel E. Ferrero, Sergio A. Cannas, Vittorio Loreto, Albert Petri. 2006-10-02. Phase separation of the Potts model in que square lattice. https://doi.org/10.1140/epjst%2Fe2007-00102-3

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