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The Poisson-Boltzmann (PB) equation provides a mean-field theory of electrolyte solutions at interfaces and in confinement, describing how ions reorganize close to charged surfaces to form the so-called electrical double layer (EDL), with…

Soft Condensed Matter · Physics 2024-09-10 Cecilia Herrero , Laurent Joly

When a Coulombic fluid is confined between two parallel charged plates, an exact relation links the difference of ionic densities at contact with the plates, to the surface charges of these boundaries. It no longer applies when the…

Statistical Mechanics · Physics 2015-10-28 Juan Pablo Mallarino , Gabriel Tellez , Emmanuel Trizac

We investigate the effect of excluded volume interactions on the electrolyte distribution around a charged macroion. First, we introduce a criterion for determining when hard-core effects should be taken into account beyond standard mean…

Soft Condensed Matter · Physics 2009-11-11 D. Antypov , M. Barbosa , C. Holm

This work introduces a sticky-charge wall model as a simple and intuitive representation of charge regulation. Implemented within the mean-field level of description, the model modifies the boundary conditions without affecting the…

Soft Condensed Matter · Physics 2019-05-27 Derek Frydel

Statistically studied are the equilibrium characteristics of a subsystem of mobile charges of one sort, taking into account the subsystem of fixed charges of the opposite sign creating a compensating electric background. The distribution of…

Other Condensed Matter · Physics 2019-02-07 H. S. Bokun , D. di Caprio

Electrostatic correlation effects in inhomogeneous symmetric electrolytes are investigated within a previously developed electrostatic self-consistent (SC) theory (R.R. Netz and H. Orland, Eur. Phys.J. E 11, 301 (2003)). To this aim, we…

Soft Condensed Matter · Physics 2015-06-05 Sahin Buyukdagli , Cristian Achim , Tapio Ala-Nissila

We present a fully analytical integration of the Maxwell stress tensor and derive exact relations for interparticle forces in systems of multiple dielectric spheres immersed in a polarizable ionic solvent, within the framework of the…

Soft Condensed Matter · Physics 2025-12-12 Sergii V. Siryk , Walter Rocchia

Electrical double layer (EDL) is formed when an electrode is in contact with an electrolyte solution, and is widely used in biophysics, electrochemistry, polymer solution and energy storage. Poisson-Boltzmann (PB) coupled equations provides…

Mesoscale and Nanoscale Physics · Physics 2022-03-02 Cherq Chua , Chun Yun Kee , L. K. Ang , Yee Sin Ang

In this paper within a field-theoretical approach taking into account explicitly a co-solvent with a nonzero dipole and a polarizability tensor, we derive a modified Poisson-Boltzmann equation. Applying the modified Poisson-Boltzmann…

Soft Condensed Matter · Physics 2015-09-02 Y. A. Budkov , A. L. Kolesnikov , M. G. Kiselev

A simple lattice model of a solid electrolyte presented as a xy-slab geometry system of mobile cations on a background of energetic landscape of the host system and a compensating field of uniformly distributed anions is studied. The system…

Statistical Mechanics · Physics 2019-03-14 T. Patsahan , G. Bokun , D. di Caprio , M. Holovko , V. Vikhrenko

The Poisson-Boltzmann (PB) theory is extensively used to gain insight on charged colloids and biological systems as well as to elucidate fundamental properties of intermolecular forces. Many works were devoted in the past to study PB…

Soft Condensed Matter · Physics 2014-04-22 Dan Ben-Yaakov , David Andelman

Electrostatic interactions between macroions largely govern the equilibrium thermodynamic and dynamical properties of charge-stabilized colloidal suspensions and polyelectrolyte solutions. Predicting the properties of such complex,…

Soft Condensed Matter · Physics 2012-12-11 Alan R. Denton

The non-equilibrium steady states of a semi-infinite quasi-one-dimensional univalent binary electrolyte solution, characterised by non-vanishing electric currents, are investigated by means of Poisson-Nernst-Planck (PNP) theory. Exact…

Soft Condensed Matter · Physics 2024-01-09 Markus Bier

The structure of cylindrical double layers is studied using a modified Poisson Boltzmann theory and the density functional approach. In the model double layer, the electrode is a cylindrical polyion that is infinitely long, impenetrable,…

Soft Condensed Matter · Physics 2013-12-18 V. Dorvilien , C. N. Patra , L. B. Bhuiyan , C. W. Outhwaite

Charged colloidal monolayers at the interface between water and air (or oil) are used in a large number of chemical, physical and biological applications. Although a considerable experimental and theoretical effort has been devoted in the…

Soft Condensed Matter · Physics 2018-12-03 Aviv Karnieli , Tomer Markovich , David Andelman

We briefly discuss our recent field-theoretic study of polyelectrolyte complexation, which occurs in solutions of two oppositely charged polyelectrolytes. Charged systems require theoretical methods beyond the mean-field (or self-consistent…

Soft Condensed Matter · Physics 2015-05-13 Yuri O. Popov , Jonghoon Lee , Glenn H. Fredrickson

The contact value theorem was originally derived for Coulomb fluids of mobile charged particles in thermal equilibrium, in the presence of interfaces carrying a {\em uniform} surface charge density and in the absence of dielectric…

Statistical Mechanics · Physics 2025-03-03 Ladislav Šamaj

We present an extension to the Poisson-Boltzmann model where the dipolar features of solvent molecules are taken explicitly into account. The formulation is derived at mean-field level and can be extended to any order in a systematic…

Soft Condensed Matter · Physics 2012-01-31 Ariel Abrashkin , David Andelman , Henri Orland

We study the role of ionic correlations on the electroosmotic flow in planar double-slit channels, without salt. We propose an analytical theory, based on recent advances in the understanding of correlated systems. We compare the theory…

Soft Condensed Matter · Physics 2021-02-04 Ivan Palaia , Igor M. Telles , Alexandre P. dos Santos , Emmanuel Trizac

Effective interactions between charged particles dispersed in an electrolyte are most commonly modeled using the Derjaguin-Landau-Verwey-Overbeek (DLVO) potential, where the ions in the suspension are coarse-grained out at mean-field level.…

Soft Condensed Matter · Physics 2025-10-23 Thijs ter Rele , Gerardo Campos-Villalobos , René van Roij , Marjolein Dijkstra