Surface reentrance in the semi-infinite spin-1 Ising models

Carla Buzano and Alessandro Pelizzola

Physica A: Statistical Mechanics and its Applications, 1993, vol. 195, issue 1, 197-214

Abstract: The critical behavior of the semi-infinite Blume-Capel and Blume-Emery-Griffiths models is investigated in the pair approximation of the cluster variation method. Equations for bulk and surface order parameters and n.n. correlation functions are given, from which analytical expressions for the second order bulk and surface critical temperatures are derived. The phase diagrams of the Blume-Capel model are classified, and the existence of a surface first-order transition is discussed. This transition is shown to be, under certain conditions, slightly reentrant, and the behavior of the surface order parameters and correlation functions is given for such a case. The extension of our results to the Blume-Emery-Griffiths model is briefly discussed.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:195:y:1993:i:1:p:197-214

DOI: 10.1016/0378-4371(93)90263-4

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