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A square-well model for the structural and thermodynamic properties of simple colloidal systems

2001/03/31 by L. Acedo, A. Santos
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.soft #physics.chem-ph

paper · pdf · doi:10.1063/1.1384419

published as J. Chem. Phys. 115, 2805-2817 (2001) · 23 pages, 10 figures; Figs. 4 and 5 changed, Fig. 6 new; to be published in J. Chem. Phys

arxiv created 2001/05/16 · arxiv updated 2009/11/30

Abstract

A model for the radial distribution function g(r) of a square-well fluid of variable width previously proposed [S. B. Yuste and A. Santos, J. Chem. Phys. \bf 101, 2355 (1994)] is revisited and simplified. The model provides an explicit expression for the Laplace transform of rg(r), the coefficients being given as explicit functions of the density, the temperature, and the interaction range. In the limits corresponding to hard spheres and sticky hard spheres the model reduces to the analytical solutions of the Percus-Yevick equation for those potentials. The results can be useful to describe in a fully analytical way the structural and thermodynamic behavior of colloidal suspensions modeled as hard-core particles with a short-range attraction. Comparison with computer simulation data shows a general good agreement, even for relatively wide wells.

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