An exact formula for the contact value of the density profile of a system of charged hard spheres near a charged wall |
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| Authors: | Douglas Henderson Lesser Blum Joel L. Lebowitz |
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| Affiliation: | IBM Research Laboratory, San Jose, CA 95193 (U.S.A.);Department of Physics, University of Puerto Rico, Rio Piedras, 00931 Puerto Rico;Department of Mathematics, Hill Center, Busch Campus, Rutgers University, New Brunswick, NJ 08903 (U.S.A.) |
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| Abstract: | 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. |
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