  We have studied the ordering of the q-colours Potts model in two dimensions
on a square lattice. On the basis of our observations we propose that if q is
large enough the system is not able to break global and local null
magnetisation symmetries at zero temperature: when q<4 the system forms domains
with a size proportional to the system size while for q>4 it relaxes towards a
non-equilibrium phase with energy larger than the ground state energy, in
agreement with the previous findings of De Oliveira et al. (M. J. de Oliveira,
A. Petri, T. Tome, Europhys. Lett., 65, 20 (2004)).
