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A solvable model for localized adsorption in a coulomb system |
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| Authors: | M. L. Rosinberg J. L. Lebowitz L. Blum |
| Affiliation: | (1) Laboratoire Propre n° 15 du C.N.R.S., Physique des Liquides et Électrochimie, Tour 22, 5e étage, 4 place Jussieu, 75230 Paris Cédex 05, France;(2) Department of Mathematics, Hill Center, Busch Campus, Rutgers University, 08903 New Brunswick, New Jersey, USA;(3) Department of Physics, POB AT, Faculty of Natural Sciences, University of Puerto Rico, 00931 Rio Piedras, Puerto Rico, USA |
| Abstract: | A model for an interface with localized adsorption is presented, in which the surface has a distribution of sticky adhesive sites in contact with a Coulomb fluid. Contrary to the current literature on the electrical double layer the surface charge is in dynamic equilibrium with the bulk fluid. The sum rules obeyed by the one- and two-body correlation functions are investigated. Explicit results are obtained for a solvable model, the two-dimensional one-component plasma at reduced temperature 2. The effect of the granularity of the adsorbed charge on the adsorption isotherm is discussed. |
| Keywords: | Localized adsorption Coulomb systems one-component plasma two dimensions electrical double layer sum rules |
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