3 research outputs found
Phase separation of the Potts model in que square lattice
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.Comment: 3 pages, 1 figure, proceedings of the "International Workshop on
Complex sytems", June 2006 in Santander (Spain