Condensation and metastability in the 2D Potts model |
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Authors: | JL Meunier A Morel |
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Institution: | (1) Institut Non Linéaire de Nice-Sophia Antipolis, 1361 Route des Lucioles, 06560 Valbonne, France, FR;(2) Service de Physique Théorique, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France, FR |
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Abstract: | For the first order transition of the Ising model below , 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 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.
Received 30 March 1999 |
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Keywords: | PACS 05 50 +q Lattice theory and statistics (Ising Potts etc ) - 05 70 Jk Critical point phenomena - 64 60 My Metastable phases |
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