Cluster Variation Approach to the Random-Anisotropy Blume-Emery-Griffiths Model

Details Cluster Variation Approach to the Random-Anisotropy Blume-Emery-Griffiths Model Cluster Variation Approach to the Random-Anisotropy Blume-Emery-Griffiths Model

1993-05-28

arxiv.org/abs/cond-mat/9305036v1

Physics

Condensed Matter

14 pages (plain TeX) + 12 figures (PostScript, appended), Preprint POLFIS-TH.02/93

Scientific paper

10.1088/0953-8984/6/2/005

The random--anisotropy Blume--Emery--Griffiths model, which has been proposed to describe the critical behavior of $^3$He--$^4$He mixtures in a porous medium, is studied in the pair approximation of the cluster variation method extended to disordered systems. Several new features, with respect to mean field theory, are found, including a rich ground state, a nonzero percolation threshold, a reentrant coexistence curve and a miscibility gap on the high $^3$He concentration side down to zero temperature. Furthermore, nearest neighbor correlations are introduced in the random distribution of the anisotropy, which are shown to be responsible for the raising of the critical temperature with respect to the pure and uncorrelated random cases and contribute to the detachment of the coexistence curve from the $\lambda$ line.

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