Far Eastern Mathematical Journal

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Some properties of root transfer matrices in eight vertex models


Yu. N. Kharchenko

2008, issue 2, . 218222


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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