Free energy of the three-state $τ_2(t_q)$ model as a product of elliptic functions

Details Free energy of the three-state $τ_2(t_q)$ model as a product of elliptic functions Free energy of the three-state $τ_2(t_q)$ model as a product of elliptic functions

2006-02-15

arxiv.org/abs/cond-mat/0602367v1

Proc. Roy. Soc. A 462 (2006) 3323 - 3341

Physics

Condensed Matter

Statistical Mechanics

20 pages, 3 figures

Scientific paper

10.1098/rspa.2006.1734

{We show that the free energy of the three-state $\tau_2(t_q)$ 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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