Display options
Cite
Vorob'ev VS, Martynov GA. Corridor of existence of thermodynamically consistent solution of the Ornstein-Zernike equation. J Chem Phys. 2007;127(2):024508doi: 10.1063/1.2749253.
Vorob'ev, V. S., & Martynov, G. A. (2007). Corridor of existence of thermodynamically consistent solution of the Ornstein-Zernike equation. The Journal of chemical physics, 127(2), 024508. https://doi.org/10.1063/1.2749253
Vorob'ev, V S, and Martynov, G A. "Corridor of existence of thermodynamically consistent solution of the Ornstein-Zernike equation." The Journal of chemical physics vol. 127,2 (2007): 024508. doi: https://doi.org/10.1063/1.2749253
Vorob'ev VS, Martynov GA. Corridor of existence of thermodynamically consistent solution of the Ornstein-Zernike equation. J Chem Phys. 2007 Jul 14;127(2):024508. doi: 10.1063/1.2749253. PMID: 17640138.
Copy Download .nbib Format: NLM
Share it on

J Chem Phys. 2007 Jul 14;127(2):024508. doi: 10.1063/1.2749253.

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

The Journal of chemical physics

V S Vorob'ev, G A Martynov

Affiliations

  1. Joint Institute for High Temperatures of RAS, Moscow, Russia.

PMID: 17640138 DOI: 10.1063/1.2749253

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.

Publication Types