Far Eastern Mathematical Journal

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Some properties of root transfer matrices in eight vertex models

Yu. N. Kharchenko

2008, issue 2, P. 218–222

Abstract

In this paper eight vertex models of statistical physics on square lattice are analyzed by a method of root transfer matrices. A theoretical material concerning a construction of root transfer matrices and a study of main (Perron) eigenvalues are described. Some questions of models classification are considered.

Keywords: eight vertex model, transfer matrice, statistical sum, ferromagnetic, free energy, phase transition

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References

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