Abstract

Classical density functional theory (DFT) is employed to study the structural properties of a binary fluid mixture confined by a semipermeable membrane. The influences of volume fraction and size asymmetry on three characteristic densities and excess adsorption are investigated in detail. In addition, some of our results are calculated by the analytical method, which agree well with those from the DFT calculations. These results may provide helpful clues to understand the structural properties of other complex fluids or mixture confined by semipermeable membrane.

Highlights

  • Considerable attention has been attracted by confined fluid and their mixture, whose structures and phase behaviors are drastically different from the corresponding bulk system [1].In such systems, interactions between fluid-pore and fluid-fluid lead usually to interesting phenomena including laying [2], wetting [3,4], capillary condensation [5] and so on

  • The Donnan equilibrium can be conveniently constructed by utilizing of the semipermeable membrane (SPM), across which there exists density difference

  • Bryk et al investigated the equilibrium density of the hard sphere mixture and Lennard-Jones fluids confined by a SPM [13,14]

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Summary

Introduction

Considerable attention has been attracted by confined fluid and their mixture, whose structures and phase behaviors are drastically different from the corresponding bulk system [1]. Bryk et al investigated the equilibrium density of the hard sphere mixture and Lennard-Jones fluids confined by a SPM [13,14]. They have studied the phase behaviors [15] and depletion potential [16] of the fluids confined by permeable walls. In this paper, we concentrate on these characteristic densities, and study their dependence on the volume fraction and size asymmetry

Theory and Model
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