Percolation and magnetization in the continuous spin Ising model
Bialas P, Blanchard P, Fortunato S, Gandolfo D, Satz H (2000)
NUCLEAR PHYSICS B 583(1-2): 368-378.
Zeitschriftenaufsatz
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Autor*in
Bialas, P;
Blanchard, PhilippeUniBi;
Fortunato, S;
Gandolfo, D;
Satz, HelmutUniBi
Einrichtung
Abstract / Bemerkung
In the strong coupling limit the partition function of SU(2) gauge theory can be reduced to that of the continuous spin Ising model with nearest neighbour pair-interactions. The random cluster representation of the continuous spin Ising model in two dimensions is derived through a Fortuin-Kasteleyn transformation, and the properties of the corresponding cluster distribution are analyzed. It is shown that for this model, the magnetic transition is equivalent to the percolation transition of Fortuin-Kasteleyn clusters, using local bond weights. These results are also illustrated by means of numerical simulations. (C) 2000 Elsevier Science B.V. All rights reserved.
Stichworte
percolation;
phase transition;
Fortuin-Kasteleyn transformation;
gauge theories;
Wolff algorithm
Erscheinungsjahr
2000
Zeitschriftentitel
NUCLEAR PHYSICS B
Band
583
Ausgabe
1-2
Seite(n)
368-378
ISSN
0550-3213
Page URI
https://pub.uni-bielefeld.de/record/1619205
Zitieren
Bialas P, Blanchard P, Fortunato S, Gandolfo D, Satz H. Percolation and magnetization in the continuous spin Ising model. NUCLEAR PHYSICS B. 2000;583(1-2):368-378.
Bialas, P., Blanchard, P., Fortunato, S., Gandolfo, D., & Satz, H. (2000). Percolation and magnetization in the continuous spin Ising model. NUCLEAR PHYSICS B, 583(1-2), 368-378. https://doi.org/10.1016/S0550-3213(00)00332-1
Bialas, P, Blanchard, Philippe, Fortunato, S, Gandolfo, D, and Satz, Helmut. 2000. “Percolation and magnetization in the continuous spin Ising model”. NUCLEAR PHYSICS B 583 (1-2): 368-378.
Bialas, P., Blanchard, P., Fortunato, S., Gandolfo, D., and Satz, H. (2000). Percolation and magnetization in the continuous spin Ising model. NUCLEAR PHYSICS B 583, 368-378.
Bialas, P., et al., 2000. Percolation and magnetization in the continuous spin Ising model. NUCLEAR PHYSICS B, 583(1-2), p 368-378.
P. Bialas, et al., “Percolation and magnetization in the continuous spin Ising model”, NUCLEAR PHYSICS B, vol. 583, 2000, pp. 368-378.
Bialas, P., Blanchard, P., Fortunato, S., Gandolfo, D., Satz, H.: Percolation and magnetization in the continuous spin Ising model. NUCLEAR PHYSICS B. 583, 368-378 (2000).
Bialas, P, Blanchard, Philippe, Fortunato, S, Gandolfo, D, and Satz, Helmut. “Percolation and magnetization in the continuous spin Ising model”. NUCLEAR PHYSICS B 583.1-2 (2000): 368-378.
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