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| HAL : hal-00263693, version 2 |
| arXiv : 0803.1921 |
| DOI : 10.1209/0295-5075/82/50003 |
| Fiche détaillée |  Récupérer au format |
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| Europhysics Letters (EPL) 82 (2008) 50003 |
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| Versions disponibles : | v1 (13-03-2008) | v2 (02-09-2008) |
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| Thermodynamic versus Topological Phase Transitions: Cusp in the Kertész Line |
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| Philippe Blanchard 1Daniel Gandolfo 2 |
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| (2008) |
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| We present a study of phase transitions of the Curie--Weiss Potts model at (inverse) temperature $\beta$, in presence of an external field $h$. Both thermodynamic and topological aspects of these transitions are considered. For the first aspect we complement previous results and give an explicit equation of the thermodynamic transition line in the $\beta$--$h$ plane as well as the magnitude of the jump of the magnetization (for $q \geqslant 3)$. The signature of the latter aspect is characterized here by the presence or not of a giant component in the clusters of a Fortuin--Kasteleyn type representation of the model. We give the equation of the Kertész line separating (in the $\beta$--$h$ plane) the two behaviours. As a result, we get that this line exhibits, as soon as $q \geqslant 3$, a very interesting cusp where it separates from the thermodynamic transition line. |
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| 1 : | Theoretishe Physik und Bibos (BIBOS) |
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Universität Bielefeld |
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| 2 : | Centre de Physique Théorique (CPT) |
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CNRS : UMR6207 – CNRS : FR2291 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Université Sud Toulon Var |
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| 3 : | Laboratoire de Probabilités et Modèles Aléatoires (LPMA) |
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CNRS : UMR7599 – Université Paris VI - Pierre et Marie Curie – Université Paris VII - Paris Diderot |
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| 4 : | Modélisation aléatoire de Paris X (MODAL'X) |
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Université Paris X - Paris Ouest Nanterre La Défense |
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| Domaine | : | Physique/Matière Condensée/Mécanique statistique |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00263693, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00263693 | |
| oai:hal.archives-ouvertes.fr:hal-00263693 | |
| Contributeur : Jean Ruiz | |
| Soumis le : Mardi 2 Septembre 2008, 18:41:45 | |
| Dernière modification le : Mardi 2 Septembre 2008, 21:17:20 | |
