We have studied the ordering of the q-colour 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 magnetization 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.
Phase ordering and symmetries of the Potts model / M., Ibanez De Berganza; Loreto, Vittorio; A., Petri. - In: PHILOSOPHICAL MAGAZINE. - ISSN 1478-6435. - 87:3-5(2007), pp. 779-786. (Intervento presentato al convegno 10th International Workshop on Disordered Systems Moveno-Andalo tenutosi a Trento, ITALY nel MAR 18-21, 2006) [10.1080/14786430600891378].
Phase ordering and symmetries of the Potts model
LORETO, Vittorio;
2007
Abstract
We have studied the ordering of the q-colour 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 magnetization 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.