Phase ordering and symmetries of the Potts model

2006/06/12 by Miguel Ibanez de Berganza, Vittorio Loreto, de Berganza, Miguel Ibanez +3
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0606282

6 pages, 3 figures; minor text rewordings and changes in figures style

arxiv created 2006/07/05 · arxiv updated 2009/12/01

Abstract

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)).

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