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Mean field integral equation theories of liquid-vapour coexistence

Author: Henderson J.R.  

Publisher: Taylor & Francis Ltd

ISSN: 1362-3028

Source: Molecular Physics, Vol.52, Iss.6, 1984-08, pp. : 1467-1477

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Abstract

There is little doubt that integral equation theories are formally capable of describing fluid-fluid coexistence; for example, liquid-vapour systems or the approach to complete wetting in systems of bulk fluids impinging against a solid surface. However, to implement this type of statistical mechanics one invariably needs to introduce approximations to the pair correlation functions, whose true behaviour within an inhomogeneous region remains essentially unknown. Previously, it has been unclear whether or not such approximated integral equations are able to describe two-phase coexistence, except for a recent negative result showing the failure of several widely used approaches. This paper attempts to resolve the issue by showing when and why the common integral equation theories of fluids are capable of describing two-phase coexistence. The results clarify previous mysteries and provide a framework for systematic improvement.