We study the Random Cluster Model on Z(d) supercript stop for p near either 0 or 1 and for all q > 0 and we prove by mean of cluster expansion methods the analyticity of the pressure and finite connectivities in both regimes. These results are valid also in the regime q < 1 and they imply that percolation probability is strictly less than 1.

Procacci, A., & Scoppola, B. (2006). Analyticity and mixing properties for random cluster model with q > 0 on Z(d). JOURNAL OF STATISTICAL PHYSICS, 123(6), 1285-1310 [10.1007/s10955-006-9117-8].

Analyticity and mixing properties for random cluster model with q > 0 on Z(d)

SCOPPOLA, BENEDETTO
2006

Abstract

We study the Random Cluster Model on Z(d) supercript stop for p near either 0 or 1 and for all q > 0 and we prove by mean of cluster expansion methods the analyticity of the pressure and finite connectivities in both regimes. These results are valid also in the regime q < 1 and they imply that percolation probability is strictly less than 1.
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/07 - Fisica Matematica
English
Con Impact Factor ISI
Cluster expansion; Random cluster model
Procacci, A., & Scoppola, B. (2006). Analyticity and mixing properties for random cluster model with q > 0 on Z(d). JOURNAL OF STATISTICAL PHYSICS, 123(6), 1285-1310 [10.1007/s10955-006-9117-8].
Procacci, A; Scoppola, B
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/39151
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