Cluster variation method in the analysis of spin-1 models

Buzano, C. and Evangelista, L.R. (1991) Cluster variation method in the analysis of spin-1 models. Accademia Peloritana dei Pericolanti Classe FF.MM.NN., 69. pp. 223-236.

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Abstract

The cluster variation method, in its recent formulation using the Moebius inversion, is applied to the study of the critical properties of the spin-1 BlumeCapel model. In order to stress the various steps of the approximation a face-centered-cubic lattice is considered and the free energy of the system is written in several degrees of approximations: single site (one-body), pair (two-body), triangle (three-body), tetrahedron (four-body). The case of the pair approximation is discussed in detail and the resulting phase diagram is compared with that obtained using other methods. The behavior of the dipolar and quadrupolar order parameters and of the pair-correlation functions is examined in three typical cases: second order transition, first order transition, no transitions.

Item Type: Article
Subjects: M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali > 1991 > Supplemento 1
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Giuridiche, Economiche e Politiche > 1991 > Supplemento 1
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Lettere, Filosofia e belle Arti > 1991 > Supplemento 1
Depositing User: Dr M P
Date Deposited: 03 Oct 2012 07:18
Last Modified: 03 Oct 2012 07:18
URI: http://cab.unime.it/mus/id/eprint/848

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