On the Kertész line: Thermodynamic versus Geometric Criticality - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2008

On the Kertész line: Thermodynamic versus Geometric Criticality

Résumé

The critical behaviour of the Ising model in the absence of an external magnetic field can be specified either through spontaneous symmetry breaking (thermal criticality) or through cluster percolation (geometric criticality). We extend this to finite external fields for the case of the Potts' model, showing that a geometric analysis leads to the same first order/second order structure as found in thermodynamic studies. We calculate the Kertész line, separating percolating and non-percolating regimes, both analytically and numerically for the Potts model in presence of an external magnetic field.
Fichier principal
Vignette du fichier
ter6.pdf (159.39 Ko) Télécharger le fichier
phase.eps (4.97 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Format : Autre
Loading...

Dates et versions

hal-00186092 , version 1 (07-11-2007)
hal-00186092 , version 2 (03-09-2008)

Identifiants

Citer

Philippe Blanchard, Daniel Gandolfo, Lahoussine Laanait, Jean Ruiz, Helmut Satz. On the Kertész line: Thermodynamic versus Geometric Criticality. Journal of Physics A: Mathematical and Theoretical, 2008, 41 (8), pp.085001. ⟨hal-00186092v2⟩
194 Consultations
272 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More