Electrostatic interactions in the presence of surface charge regulation: Exact results
1 Physico-chimie théorique-Gulliver, ESPCI-CNRS - 10 rue Vauquelin, 75005 Paris, France
2 Department of Theoretical Physics, J. Stefan Institute and Department of Physics, Faculty of Mathematics and Physics, University of Ljubljana - SI-1000 Ljubljana, Slovenia
Received: 30 September 2014
Accepted: 4 December 2014
We study the problem of charge regulation and its effects on electrostatic interactions between dissociable charge groups immersed in a univalent electrolyte, within a family of one-dimensional exactly solvable models. We consider the case of both charge-regulated plates, but also the interaction of pairs of finite-size dielectric “particles”. Using the transfer matrix formalism we are able to determine the disjoining pressure as well as the correlations between the charge and the dipole moments of the objects as a function of their separation and electrolyte concentration.
PACS: 82.70.Dd – Colloids / 87.10.-e – General theory and mathematical aspects
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