Electrostatic interactions in the presence of surface charge regulation: exact results

Abstract

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

arXiv comment6 pages, 3 figures

References in corpus (6)

• Perspective: Coulomb fluids -- weak coupling, strong coupling, in between and beyond
• Field theory fo charged fluids and colloids
• One-dimensional counterion gas between charged surfaces: Exact results compared with weak- and strong-coupling analysis
• Charge regulation and ionic screening of patchy surfaces
• The one dimensional Coulomb lattice fluid capacitor
• Boundary Effects in the One Dimensional Coulomb Gas

Cited by in corpus (7)

• A Materials Perspective on Casimir and van der Waals Interactions
• Charge Regulation with Fixed and Mobile Charges
• Charge regulation in ionic solutions: thermal fluctuations and Kirkwood-Schumaker interaction
• Charge Regulating Macro-ions in Salt Solutions: Screening Properties and Electrostatic Interactions
• Spontaneous symmetry breaking of charge-regulated surfaces
• Anomalous Multipole Expansion: Charge Regulation of Patchy, Inhomogeneously Charged Spherical Particles
• Titratable Macroions in Multivalent Electrolyte Solutions: Strong Coupling Dressed Ion Approach