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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.
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Dates et versions

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

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Philippe Blanchard, Helmut Satz, Daniel Gandolfo, Jean Ruiz, Lahoussine Laanait. On the Kertész line: Thermodynamic versus Geometric Criticality. Journal of Physics A: Mathematical and Theoretical, 2008, 41 (8), pp.085001. ⟨hal-00186092v1⟩
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