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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…

软凝聚态物质 · 物理学 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…

软凝聚态物质 · 物理学 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…

软凝聚态物质 · 物理学 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,…

软凝聚态物质 · 物理学 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…

软凝聚态物质 · 物理学 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…

计算物理 · 物理学 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…

偏微分方程分析 · 数学 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…

化学物理 · 物理学 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…

软凝聚态物质 · 物理学 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…

软凝聚态物质 · 物理学 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…

介观与纳米尺度物理 · 物理学 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…

软凝聚态物质 · 物理学 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…

软凝聚态物质 · 物理学 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…

等离子体物理 · 物理学 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…

软凝聚态物质 · 物理学 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…

软凝聚态物质 · 物理学 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…

介观与纳米尺度物理 · 物理学 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…

软凝聚态物质 · 物理学 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…

软凝聚态物质 · 物理学 2016-08-31 Ram M. Adar , David Andelman , Haim Diamant