An exact formula for the contact value of the density profile of a system of charged hard spheres near a charged wall

An exact formula for the contact value of the density of a system of charged hard spheres near a charged hard wall is obtained by means of a general statistical mechanical argument. In addition, a formula for the contact value of the charge profile in the limit of large field is obtained. Comparison...

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Bibliographic Details
Published in:Journal of electroanalytical chemistry and interfacial electrochemistry 1979-01, Vol.102 (3), p.315-319
Main Authors: Henderson, Douglas, Blum, Lesser, Lebowitz, Joel L.
Format: Article
Language:English
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Summary:An exact formula for the contact value of the density of a system of charged hard spheres near a charged hard wall is obtained by means of a general statistical mechanical argument. In addition, a formula for the contact value of the charge profile in the limit of large field is obtained. Comparison with the corresponding expressions in the Poisson-Boltzmann theory of Gouy and Chapman shows that these latter expressions become exact for large fields, independent of the density of the hard spheres.
ISSN:0022-0728
DOI:10.1016/S0022-0728(79)80459-3