Density profiles of hard spheres in a cylinder filled with disordered matrix: application of the Born–Green–Yvon equation

Yu Duda , A Patrykiejew, O Pizio and S Sokołowski

Physica A: Statistical Mechanics and its Applications, 1999, vol. 265, issue 3, 424-431

Abstract: Local densities of a hard sphere fluid in a cylindrical pore filled with quenched disordered hard-sphere matrix are calculated using Born–Green–Yvon equation with Fisher–Methfessel approximation. The solution of replica Ornstein–Zernike equation in the Percus–Yevick approximation for a fluid in a homogeneous matrix is used as an input. A comparison of the density profiles with simulation data shows that the theory works satisfactorily for the considered matrix and fluid densities.

Keywords: Inhomogeneous quenched–annealed fluids; Adsorption; Porosity; Born–Green–Yvon equation (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:265:y:1999:i:3:p:424-431

DOI: 10.1016/S0378-4371(98)00538-X

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