TITLE

Corridor of existence of thermodynamically consistent solution of the Ornstein-Zernike equation

AUTHOR(S)
Vorob'ev, V. S.; Martynov, G. A.
PUB. DATE
July 2007
SOURCE
Journal of Chemical Physics;7/14/2007, Vol. 127 Issue 2, p024508
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We obtain the exact equation for a correction to the Ornstein-Zernike (OZ) equation based on the assumption of the uniqueness of thermodynamical functions. We show that this equation is reduced to a differential equation with one arbitrary parameter for the hard sphere model. The compressibility factor within narrow limits of this parameter variation can either coincide with one of the formulas obtained on the basis of analytical solutions of the OZ equation or assume all intermediate values lying in a corridor between these solutions. In particular, we find the value of this parameter when the thermodynamically consistent compressibility factor corresponds to the Carnahan-Stirling formula.
ACCESSION #
25800418

 

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