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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Vydané v:	Physica A Ročník 253; číslo 1; s. 448 - 458
Hlavní autori:	Aguiar, F.S.de, Jr, S.Goulart Rosa
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier B.V 01.05.1998
Predmet:	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
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Popis
Shrnutí:	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