Correlation inequalities for statistical models of lattice gas

Authors

  • Yu. P. Virchenko

Abstract

We consider models of statistical mechanics of the type of lattice gas with attractive interaction of general kind. We propose a method for obtaining inequalities that connect multipoint correlation functions of different order. This method allows one, on the one hand, to strengthen similar inequalities, which can be obtained within the framework of the FKG method, and on the other hand, to obtain new inequalities. We introduce the notion of duality for models of lattice gas. We show that if, under the transformation p ⇒ 1 - p, the correlation inequalities for a model with attraction turn into the corresponding inequalities that are also satisfied, then the correlation functions of the dual model also satisfy the latter inequalities.

Published

25.06.1998

Issue

Section

Research articles

How to Cite

Virchenko, Yu. P. “Correlation Inequalities for Statistical Models of Lattice Gas”. Ukrains’kyi Matematychnyi Zhurnal, vol. 50, no. 6, June 1998, pp. 765–773, https://umj.imath.kiev.ua/index.php/umj/article/view/4886.