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We study suspensions of hydrophobic charged colloidal spheres dispersed in a demixed oil-water mixture by means of a modified Poisson-Boltzmann theory, taking into account image charge effects and partitioning of the monovalent ions. We…

Soft Condensed Matter · Physics 2016-08-14 Jos Zwanikken , René van Roij

We study discrete solvent effects on the interaction of two parallel charged surfaces in ionic aqueous solution. These effects are taken into account by adding a bilinear non-local term to the free energy of Poisson-Boltzmann theory. We…

Soft Condensed Matter · Physics 2009-10-31 Yoram Burak , David Andelman

The effective electrostatic interaction between a pair of colloids, both of them located close to each other at an electrolyte interface, is studied by employing the full, nonlinear Poisson-Boltzmann (PB) theory within classical density…

Soft Condensed Matter · Physics 2016-08-17 Arghya Majee , Markus Bier , S. Dietrich

We present a continuation of our theoretical research into the influence of co-solvent polarizability on a differential capacitance of the electric double layer [EPL 111, 28002 (2015)]. We formulate a modified Poisson-Boltzmann theory,…

Soft Condensed Matter · Physics 2016-05-11 Yu. A. Budkov , A. L. Kolesnikov , M. G. Kiselev

The behavior of electrolyte solutions close to a charged surface is studied theoretically. A modified Poisson-Boltzmann equation which takes into account the volume excluded by the ions in addition to the electrostatic interactions is…

Soft Condensed Matter · Physics 2007-05-23 I. Borukhov , D. Andelman , H. Orland

The solution of the Poisson--Boltzmann equation for counterions confined between two charged plates is known analytically up to a constant, namely, the ion density in the middle of the channel. This quantity is relevant also because it…

Computational Physics · Physics 2018-09-06 Andrei Bazarenko , Marcello Sega

We consider the Poisson-Boltzmann equation in a periodic cell, representative of a porous medium. It is a model for the electrostatic distribution of $N$ chemical species diluted in a liquid at rest, occupying the pore space with charged…

Analysis of PDEs · Mathematics 2015-04-24 Gregoire Allaire , Jean-Francois Dufreche , Andro Mikelic , Andrey Piatnitski

Model macroion solutions next to a charged wall show interface \textit{true overcharging}, charge reversal and inversion, and layering. Macroion layering is present, even if the wall or the macroparticle are \textit{uncharged} or if the…

Chemical Physics · Physics 2007-05-23 Marcelo Lozada-Cassou , Felipe Jimenez-Angeles

We explore the effect of steric interaction on the ionic density distribution near a charged hard wall. For weakly charged walls, small particles, and monovalent ions the mean-field Poisson-Boltzmann equation provides an excellent…

Soft Condensed Matter · Physics 2015-06-05 Derek Frydel , Yan Levin

Swollen stacks of finite-size disc-like Laponite clay platelets are investigated within a Wigner-Seitz cell model. Each cell is a cylinder containing a coaxial platelet at its centre, together with an overall charge-neutral distribution of…

Soft Condensed Matter · Physics 2009-10-31 R. J. F. Leote de Carvalho , E. Trizac , J. -P. Hansen

For a wide class of noninteracting tight-binding models in one dimension we present an analytical solution for all scattering and edge states on a half-infinite system. Without assuming any symmetry constraints we consider models with…

Mesoscale and Nanoscale Physics · Physics 2020-04-14 Mikhail Pletyukhov , Dante M. Kennes , Jelena Klinovaja , Daniel Loss , Herbert Schoeller

We study a classical system of identically charged counter-ions near a planar wall carrying a uniform surface charge density. The equilibrium statistical mechanics of the system depends on a single dimensionless coupling parameter. A new…

Soft Condensed Matter · Physics 2019-01-21 I. Palaia , M. Trulsson , L. Samaj , E. Trizac

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 potential and the charge distribution across the interface of a plasma and a dielectric wall. For this purpose, the charge bound to the wall is modelled as a quasi-stationary electron surface layer which satisfies Poisson's…

Plasma Physics · Physics 2015-05-30 Rafael L. Heinisch , Franz X. Bronold , Holger Fehske

Most organic and inorganic surfaces (e.g., glass, nucleic acids or lipid membranes) become charged in aqueous solutions. The resulting ionic distribution induces effective interactions between the charged surfaces. Stacks of like-charged…

Screening of a strongly charged macroion by multivalent counterions is considered. It is shown that counterions form a strongly correlated liquid at the surface of the macroion. Cohesive energy of this liquid leads to additional attraction…

Soft Condensed Matter · Physics 2009-10-31 B. I. Shklovskii

Mobile charge in an electrolytic solution can in principle be represented as the divergence of ionic polarization. After adding explicit solvent polarization a finite volume of electrolyte can then be treated as a composite non-uniform…

Soft Condensed Matter · Physics 2021-03-03 Michiel Sprik

Quasiparticle (QP) wave functions, also known as Dyson orbitals, extend the concept of single-particle states to interacting electron systems. Here we employ many-body perturbation theory in the GW approximation to calculate the QP wave…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 M. Strange , K. S. Thygesen

We numerically solve the non-linear Poisson-Boltzmann equation for two cylinders confined by two parallel charged plates. The repulsive electrical double layer component of the cylinder pair potential is substantially reduced by confinement…

Soft Condensed Matter · Physics 2009-10-31 Mark Ospeck , Seth Fraden

Two overall neutral surfaces with positive and negative charged domains ("patches") have been shown in recent experiments to exhibit long-range attraction when immersed in an ionic solution. Motivated by the experiments, we calculate…

Soft Condensed Matter · Physics 2016-08-31 Ram M. Adar , David Andelman , Haim Diamant