Phase separation of the Potts model in que square lattice

Details Phase separation of the Potts model in que square lattice Phase separation of the Potts model in que square lattice

2006-10-02

arxiv.org/abs/cond-mat/0610039v1

Physics

Condensed Matter

Statistical Mechanics

3 pages, 1 figure, proceedings of the "International Workshop on Complex sytems", June 2006 in Santander (Spain)

Scientific paper

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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