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Dal'nevostochnyi Matematicheskii Zhurnal, 2008, Volume 8, Number 2, Pages 218–222 (Mi dvmg49)  
Some properties of root transfer matrices in eight vertex models

Yu. N. Kharchenko

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
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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.
Key words: eight vertex model, transfer matrice, statistical sum, ferromagnetic, free energy, phase transition.
Received: 17.04.2008
Document Type: Article
UDC: 517.984.51, 519.68, 530.145
MSC: Primary 15A18; Secondary 82.04
Language: Russian
Citation: Yu. N. Kharchenko, “Some properties of root transfer matrices in eight vertex models”, Dal'nevost. Mat. Zh., 8:2 (2008), 218–222
Citation in format AMSBIB
\Bibitem{Kha08}
\by Yu.~N.~Kharchenko
\paper Some properties of root transfer matrices in eight vertex models
\jour Dal'nevost. Mat. Zh.
\yr 2008
\vol 8
\issue 2
\pages 218--222
\mathnet{http://mi.mathnet.ru/dvmg49}
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