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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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.
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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.
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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