Gibbs states of graphical representations of the Potts model with external fields

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Gibbs States of Graphical Representations in the Potts Model with External Fields

We consider the ferromagnetic q-state Potts model, with each of the q spin values coupled to an external field. We also introduce a generalized random cluster model, which includes both the Potts model in arbitrary homogeneous external fields and the non-integer q random cluster model as special cases. We establish the FKG property, the finite energy condition, uniqueness of the infinite cluste...

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ژورنال

عنوان ژورنال: Journal of Mathematical Physics

سال: 2000

ISSN: 0022-2488,1089-7658

DOI: 10.1063/1.533183