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The classical Poisson-Boltzmann (PB) theory of electrolytes assumes a dilute solution of point charges with mean-field electrostatic forces. Even for very dilute solutions, however, it predicts absurdly large ion concentrations (exceeding…

化学物理 · 物理学 2007-05-23 Mustafa Sabri Kilic , Martin Z. Bazant , Armand Ajdari

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…

软凝聚态物质 · 物理学 2009-11-11 D. Antypov , M. Barbosa , C. Holm

Surface sensitive synchrotron-X-ray scattering studies reveal the distributions of monovalent ions next to highly charged interfaces. A lipid phosphate (dihexadecyl hydrogen-phosphate) was spread as a monolayer at the air-water interface,…

软凝聚态物质 · 物理学 2009-11-11 Wei Bu , David Vaknin , Alex Travesset

Ions in ionic liquids and concentrated electrolytes reside in a crowded, strongly-interacting environment, leading to the formation of discrete layers of charges at interfaces. Here, we propose a continuum theory that captures the…

A simple field theory approach is developed to model the properties of charged, dielectric bodies and their associated counterions. This predictive theory is able to accurately describe the properties of systems (as compared to computer…

软凝聚态物质 · 物理学 2009-01-20 Marius M. Hatlo , Leo Lue

We study the ionic equilibria and interactions of neutral semi-permeable spherical shells immersed in electrolyte solutions, including polyions. Although the shells are uncharged, only one type of ions of the electrolyte can permeate them,…

软凝聚态物质 · 物理学 2012-07-24 Vladimir Lobaskin , Artem N. Bogdanov , Olga I. Vinogradova

The Poisson-Boltzmann approach gives asymptotically exact counter-ion density profiles around charged objects in the weak-coupling limit of low valency and high temperature. In this paper we derive, using field-theoretic methods, a theory…

软凝聚态物质 · 物理学 2009-10-31 Andre G. Moreira , Roland R. Netz

We extend our previous study of surface tension of ionic solutions and apply it to the case of acids (and salts) with strong ion-surface interactions. These ion-surface interactions yield a non-linear boundary condition with an effective…

软凝聚态物质 · 物理学 2017-02-17 Tomer Markovich , David Andelman , Rudi Podgornik

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…

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 the Poisson-Boltzmann equation in the context of dense charged fluids where steric effects become important. We generalise the lattice gas theory by introducing a Flory-Huggins entropy for ions of differing volumes and then compare…

软凝聚态物质 · 物理学 2015-07-17 A. C. Maggs , R. Podgornik

The electrostatic interaction between two non-identical, moderately charged colloids situated in close proximity of each other at a fluid interface is studied. By resorting to a well-justified model system, this problem is analytically…

软凝聚态物质 · 物理学 2018-04-30 Arghya Majee , Timo Schmetzer , Markus Bier

We consider an osmotic equilibrium between bulk solutions of polyelectrolyte bounded by semipermeable membranes and separated by a thin film of salt-free liquid. Although the membranes are neutral, the counter-ions of the polyelectrolyte…

软凝聚态物质 · 物理学 2012-01-19 Olga I. Vinogradova , Lyderic Bocquet , Artem N. Bogdanov , Roumen Tsekov , Vladimir Lobaskin

We consider a set of identical mobile point-like charges (counter-ions) confined to a domain with curved hard walls carrying a uniform fixed surface charge density, the system as a whole being electroneutral. Three domain geometries are…

软凝聚态物质 · 物理学 2016-03-24 Ladislav Samaj , E. Trizac

Within the Poisson-Boltzmann (PB) approach electrolytes in contact with planar, spherical, and cylindrical electrodes are analyzed systematically. The dependences of their capacitance $C$ on the surface charge density $\sigma$ and the ionic…

软凝聚态物质 · 物理学 2017-04-24 Andreas Reindl , Markus Bier , S. Dietrich

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,…

软凝聚态物质 · 物理学 2013-12-18 V. Dorvilien , C. N. Patra , L. B. Bhuiyan , C. W. Outhwaite

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

In this paper, we present a continuation of our research on modeling electrolyte solutions within charged slit pores. We make use of the model developed by Blossey et al., which takes into account the structural interactions between ions…

软凝聚态物质 · 物理学 2023-07-26 Victoria A. Vasileva , Daria A. Mazur , Yury A. Budkov

The Poisson-Boltzmann (PB) theory is widely used to depict ionic systems. As a mean-field theory, the PB theory neglects the correlation effect in the ionic atmosphere and leads to deviations from experimental results as the concentration…

软凝聚态物质 · 物理学 2019-06-25 Mao Su , Zhijie Xu , Yanting Wang

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