Euler-Poincare characteristic and phase transition in the Potts model on Zeta(2)
Blanchard P, Fortunato S, Gandolfo D (2002)
NUCLEAR PHYSICS B 644(3): 495-508.
Zeitschriftenaufsatz
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Autor*in
Blanchard, PhilippeUniBi;
Fortunato, S;
Gandolfo, D
Einrichtung
Abstract / Bemerkung
Recent results concerning the topological properties of random geometrical sets have been successfully applied to the study of the morphology of clusters in percolation theory. This approach provides an alternative way of inspecting the critical behaviour of random systems in statistical mechanics. For the 2d, q-states Potts model on the square lattice with q less than or equal to 6, intensive and accurate numerics indicates that the average of the Euler characteristic (taken with respect to the Fortuin-Kasteleyn random cluster measure) changes sign at the critical threshold of the magnetization transition. (C) 2002 Elsevier Science B.V. All rights reserved.
Stichworte
Euler-Poincare characteristic;
cluster morphology;
phase transition
Erscheinungsjahr
2002
Zeitschriftentitel
NUCLEAR PHYSICS B
Band
644
Ausgabe
3
Seite(n)
495-508
ISSN
0550-3213
Page URI
https://pub.uni-bielefeld.de/record/1613212
Zitieren
Blanchard P, Fortunato S, Gandolfo D. Euler-Poincare characteristic and phase transition in the Potts model on Zeta(2). NUCLEAR PHYSICS B. 2002;644(3):495-508.
Blanchard, P., Fortunato, S., & Gandolfo, D. (2002). Euler-Poincare characteristic and phase transition in the Potts model on Zeta(2). NUCLEAR PHYSICS B, 644(3), 495-508. https://doi.org/10.1016/S0550-3213(02)00681-8
Blanchard, Philippe, Fortunato, S, and Gandolfo, D. 2002. “Euler-Poincare characteristic and phase transition in the Potts model on Zeta(2)”. NUCLEAR PHYSICS B 644 (3): 495-508.
Blanchard, P., Fortunato, S., and Gandolfo, D. (2002). Euler-Poincare characteristic and phase transition in the Potts model on Zeta(2). NUCLEAR PHYSICS B 644, 495-508.
Blanchard, P., Fortunato, S., & Gandolfo, D., 2002. Euler-Poincare characteristic and phase transition in the Potts model on Zeta(2). NUCLEAR PHYSICS B, 644(3), p 495-508.
P. Blanchard, S. Fortunato, and D. Gandolfo, “Euler-Poincare characteristic and phase transition in the Potts model on Zeta(2)”, NUCLEAR PHYSICS B, vol. 644, 2002, pp. 495-508.
Blanchard, P., Fortunato, S., Gandolfo, D.: Euler-Poincare characteristic and phase transition in the Potts model on Zeta(2). NUCLEAR PHYSICS B. 644, 495-508 (2002).
Blanchard, Philippe, Fortunato, S, and Gandolfo, D. “Euler-Poincare characteristic and phase transition in the Potts model on Zeta(2)”. NUCLEAR PHYSICS B 644.3 (2002): 495-508.
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