Cluster percolation and first order phase transitions in the Potts model

Fortunato S, Satz H (2002)
NUCLEAR PHYSICS B 623(3): 493-502.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
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Abstract / Bemerkung
The q-state Potts model can be formulated in geometric terms, with Fortuin-Kasteleyn (FK) clusters as fundamental objects. For vanishing external field, the phase transition of the model can be equivalently described as a percolation transition of FK clusters. In this work, we investigate numerically the percolation behaviour along the line of first-order phase transitions of the 3d 3-state Potts model in a non-vanishing external field and find that the percolation strength exhibits a discontinuity along the entire line. The endpoint is also a percolation point for the FK clusters, but the corresponding critical exponents are neither in the Ising nor in the random percolation universality class. (C) 2002 Published by Elsevier Science B.V.
Erscheinungsjahr
Zeitschriftentitel
NUCLEAR PHYSICS B
Band
623
Zeitschriftennummer
3
Seite
493-502
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PUB-ID

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Fortunato S, Satz H. Cluster percolation and first order phase transitions in the Potts model. NUCLEAR PHYSICS B. 2002;623(3):493-502.
Fortunato, S., & Satz, H. (2002). Cluster percolation and first order phase transitions in the Potts model. NUCLEAR PHYSICS B, 623(3), 493-502. doi:10.1016/S0550-3213(01)00604-6
Fortunato, S., and Satz, H. (2002). Cluster percolation and first order phase transitions in the Potts model. NUCLEAR PHYSICS B 623, 493-502.
Fortunato, S., & Satz, H., 2002. Cluster percolation and first order phase transitions in the Potts model. NUCLEAR PHYSICS B, 623(3), p 493-502.
S. Fortunato and H. Satz, “Cluster percolation and first order phase transitions in the Potts model”, NUCLEAR PHYSICS B, vol. 623, 2002, pp. 493-502.
Fortunato, S., Satz, H.: Cluster percolation and first order phase transitions in the Potts model. NUCLEAR PHYSICS B. 623, 493-502 (2002).
Fortunato, S, and Satz, Helmut. “Cluster percolation and first order phase transitions in the Potts model”. NUCLEAR PHYSICS B 623.3 (2002): 493-502.

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