The Potts model on the Bethe lattice

The approach developed by Thompson for the Ising model is used to calculate the free energy of the Potts model on the Bethe lattice. This is accomplished by introducing a simplification in obtaining the recursion relationship for the local magnetization and a generalization of the hyperbolic functio...

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Bibliographic Details
Published in:	Physica A Vol. 253; no. 1; pp. 448 - 458
Main Authors:	Aguiar, F.S.de, Jr, S.Goulart Rosa
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.05.1998
Subjects:	Bethe lattice Bethe–Peierls map Generalized hyperbolic functions Potts model Potts model Generalized hyperbolic functions Bethe–Peierls map Bethe lattice
ISSN:	0378-4371, 1873-2119
Online Access:	Get full text
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Summary:	The approach developed by Thompson for the Ising model is used to calculate the free energy of the Potts model on the Bethe lattice. This is accomplished by introducing a simplification in obtaining the recursion relationship for the local magnetization and a generalization of the hyperbolic functions.
ISSN:	0378-4371 1873-2119
DOI:	10.1016/S0378-4371(97)00636-5