Percolation and magnetization for generalized continuous spin models

Fortunato S, Satz H (2001)
NUCLEAR PHYSICS B 598(3): 601-611.

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Abstract
For the Ising model, the spin magnetization transition is equivalent to the percolation transition of Fortuin-Kasteleyn clusters; this result remains valid also for the conventional continuous spin Ising model. The investigation of more general continuous spin models may help to obtain a percolation formulation for the critical behaviour in SU(2) gauge theory. We therefore study a broad class of theories, introducing spin distribution functions, longer range interactions and self-interaction terms. The thermal behaviour of each model turns out to be in the Ising universality class. The corresponding percolation formulations are then obtained by extending the Fortuin-Kasteleyn cluster definition; in several cases they illustrate recent rigorous results. (C) 2001 Published by Elsevier Science B.V.
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Fortunato S, Satz H. Percolation and magnetization for generalized continuous spin models. NUCLEAR PHYSICS B. 2001;598(3):601-611.
Fortunato, S., & Satz, H. (2001). Percolation and magnetization for generalized continuous spin models. NUCLEAR PHYSICS B, 598(3), 601-611.
Fortunato, S., and Satz, H. (2001). Percolation and magnetization for generalized continuous spin models. NUCLEAR PHYSICS B 598, 601-611.
Fortunato, S., & Satz, H., 2001. Percolation and magnetization for generalized continuous spin models. NUCLEAR PHYSICS B, 598(3), p 601-611.
S. Fortunato and H. Satz, “Percolation and magnetization for generalized continuous spin models”, NUCLEAR PHYSICS B, vol. 598, 2001, pp. 601-611.
Fortunato, S., Satz, H.: Percolation and magnetization for generalized continuous spin models. NUCLEAR PHYSICS B. 598, 601-611 (2001).
Fortunato, S, and Satz, Helmut. “Percolation and magnetization for generalized continuous spin models”. NUCLEAR PHYSICS B 598.3 (2001): 601-611.
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