Solution of the mean spherical approximation for the density profile of a hard-sphere fluid near a wall

Eduardo Waisman; Douglas Henderson Ibm; Joel L. Lebowitz

doi:10.1080/00268977600102751

Solution of the mean spherical approximation for the density profile of a hard-sphere fluid near a wall

Eduardo Waisman, Douglas Henderson Ibm, Joel L. Lebowitz

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Abstract

We investigate the density profile of a fluid of hard spheres in the vicinity of a (container) wall. Our analysis is based on the solution of an integral equation satisfied by this density profile in the Lebowitz-Percus mean spherical approximation or its generalization. The latter leads to a density profile in very good agreement with machine computations.

Original language	English (US)
Pages (from-to)	1373-1381
Number of pages	9
Journal	Molecular Physics
Volume	32
Issue number	5
DOIs	https://doi.org/10.1080/00268977600102751
State	Published - Nov 1976
Externally published	Yes

All Science Journal Classification (ASJC) codes

Biophysics
Molecular Biology
Condensed Matter Physics
Physical and Theoretical Chemistry

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10.1080/00268977600102751

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title = "Solution of the mean spherical approximation for the density profile of a hard-sphere fluid near a wall",

abstract = "We investigate the density profile of a fluid of hard spheres in the vicinity of a (container) wall. Our analysis is based on the solution of an integral equation satisfied by this density profile in the Lebowitz-Percus mean spherical approximation or its generalization. The latter leads to a density profile in very good agreement with machine computations.",

author = "Eduardo Waisman and {Henderson Ibm}, Douglas and Lebowitz, {Joel L.}",

note = "Funding Information: t Supported by a grant from the Petroleum Research Foundation No. PRF and by AFOSR Grant No. 73-243OB.",

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AU - Henderson Ibm, Douglas

AU - Lebowitz, Joel L.

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PY - 1976/11

Y1 - 1976/11

N2 - We investigate the density profile of a fluid of hard spheres in the vicinity of a (container) wall. Our analysis is based on the solution of an integral equation satisfied by this density profile in the Lebowitz-Percus mean spherical approximation or its generalization. The latter leads to a density profile in very good agreement with machine computations.

AB - We investigate the density profile of a fluid of hard spheres in the vicinity of a (container) wall. Our analysis is based on the solution of an integral equation satisfied by this density profile in the Lebowitz-Percus mean spherical approximation or its generalization. The latter leads to a density profile in very good agreement with machine computations.

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Solution of the mean spherical approximation for the density profile of a hard-sphere fluid near a wall

Abstract

All Science Journal Classification (ASJC) codes

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