On the Kertesz line: thermodynamic versus geometric criticality

Blanchard P, Gandolfo D, Laanait L, Ruiz J, Satz H (2008)
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 41(8): 085001.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
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Abstract / Bemerkung
The critical behavior 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 Kertesz line, separating percolating and non-percolating regimes, both analytically and numerically for the Potts model in the presence of an external magnetic field.
Erscheinungsjahr
Zeitschriftentitel
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Band
41
Zeitschriftennummer
8
Seite
085001
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Blanchard P, Gandolfo D, Laanait L, Ruiz J, Satz H. On the Kertesz line: thermodynamic versus geometric criticality. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 2008;41(8):085001.
Blanchard, P., Gandolfo, D., Laanait, L., Ruiz, J., & Satz, H. (2008). On the Kertesz line: thermodynamic versus geometric criticality. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 41(8), 085001. doi:10.1088/1751-8113/41/8/085001
Blanchard, P., Gandolfo, D., Laanait, L., Ruiz, J., and Satz, H. (2008). On the Kertesz line: thermodynamic versus geometric criticality. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 41, 085001.
Blanchard, P., et al., 2008. On the Kertesz line: thermodynamic versus geometric criticality. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 41(8), p 085001.
P. Blanchard, et al., “On the Kertesz line: thermodynamic versus geometric criticality”, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, vol. 41, 2008, pp. 085001.
Blanchard, P., Gandolfo, D., Laanait, L., Ruiz, J., Satz, H.: On the Kertesz line: thermodynamic versus geometric criticality. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 41, 085001 (2008).
Blanchard, Philippe, Gandolfo, D., Laanait, L., Ruiz, J., and Satz, Helmut. “On the Kertesz line: thermodynamic versus geometric criticality”. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 41.8 (2008): 085001.