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| HAL : hal-00337737, version 1 |
| arXiv : 0811.2735 |
| DOI : 10.1016/j.spa.2009.10.011 |
| Fiche détaillée |  Récupérer au format |
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| Stochastic Processes and their Applications 120 (2010) 84-104 |
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| Limit Theorems and Coexistence Probabilities for the Curie-Weiss Potts Model with an external field |
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| Daniel Gandolfo 1Jean Ruiz 1 |
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| (01/01/2010) |
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| The Curie-Weiss Potts model is a mean field version of the well-known Potts model. In this model, the critical line $\beta = \beta_c (h)$ is explicitly known and corresponds to a first order transition when $q > 2$. In the present paper we describe the fluctuations of the density vector in the whole domain $\beta \geqslant 0$ and $h \geqslant 0$, including the conditional fluctuations on the critical line and the non-Gaussian fluctuations at the extremity of the critical line. The probabilities of each of the two thermodynamically stable states on the critical line are also computed. Similar results are inferred for the Random-Cluster model on the complete graph. |
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| 1 : | 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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| 2 : | Laboratoire d'Analyse, Géométrie et Applications (LAGA) |
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CNRS : UMR7539 – Université Paris XIII - Paris Nord – Université Paris VIII - Vincennes Saint-Denis |
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| Domaine | : | Mathématiques/Probabilités Physique/Matière Condensée/Mécanique statistique |
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| Curie-Weiss Potts model – external field – limit theorems – coexistence |
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| hal-00337737, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00337737 | |
| oai:hal.archives-ouvertes.fr:hal-00337737 | |
| Contributeur : Marc Wouts | |
| Soumis le : Lundi 17 Novembre 2008, 14:54:57 | |
| Dernière modification le : Vendredi 20 Novembre 2009, 16:53:20 | |
