https://doi.org/10.1007/s100510050040
Condensation and metastability in the 2D Potts model
1
Institut Non Linéaire de Nice-Sophia Antipolis, 1361 Route des Lucioles,
06560 Valbonne, France
2
Service de Physique Théorique, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France
Received:
30
March
1999
Published online: 15 January 2000
For the first order transition of the Ising model below Tc,
Isakov has proven that the free energy possesses an essential
singularity in the applied field. Such a singularity in the control
parameter, anticipated by condensation theory, is believed to
be a generic feature of first order transitions, but too weak to be
observable. We study these issues for the temperature driven
transition of the q states 2D Potts model at 
. Adapting the
droplet model to this case, we relate its parameters to the
critical properties at qc and confront the free energy to
the many informations brought by previous works.
The essential singularity predicted
at the transition temperature leads to observable effects
in numerical data. On a finite lattice, a metastability domain of
temperatures is identified, which shrinks to zero
in the thermodynamical limit.
PACS: 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 05.70.Jk – Critical point phenomena / 64.60.My – Metastable phases
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
