Free energy of the three-state τ2(tq) model as a product of elliptic functions

R. J. Baxter

doi:10.1098/rspa.2006.1734

Free energy of the three-state τ₂(t_q) model as a product of elliptic functions

R. J. Baxter^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We show that the free energy of the three-state τ₂(t _q) model can be expressed as products of Jacobi elliptic functions, the arguments being those of an hyperelliptic parametrization of the associated chiral Potts model. This is the first application of such a parametrization to the N-state chiral Potts free-energy problem for N> 2.

Original language	English
Pages (from-to)	3323-3341
Number of pages	19
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	462
Issue number	2075
DOIs	https://doi.org/10.1098/rspa.2006.1734
Publication status	Published - 8 Nov 2006

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abstract = "We show that the free energy of the three-state τ2(t q) model can be expressed as products of Jacobi elliptic functions, the arguments being those of an hyperelliptic parametrization of the associated chiral Potts model. This is the first application of such a parametrization to the N-state chiral Potts free-energy problem for N> 2.",

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AB - We show that the free energy of the three-state τ2(t q) model can be expressed as products of Jacobi elliptic functions, the arguments being those of an hyperelliptic parametrization of the associated chiral Potts model. This is the first application of such a parametrization to the N-state chiral Potts free-energy problem for N> 2.

KW - Chiral Potts model

KW - Free energy

KW - Lattice models

KW - Statistical mechanics

KW - τ model

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M3 - Article

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JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

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ER -

Free energy of the three-state τ₂(t_q) model as a product of elliptic functions

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