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We solve the nonlinear Poisson-Boltzmann equation for two parallel and likely charged plates both inside a symmetric elecrolyte, and inside a 2 : 1 asymmetric electrolyte, in terms of Weierstrass elliptic functions. From these solutions we…

Classical Physics · Physics 2013-05-29 Xiangjun Xing

The study of the electrical double layer lies at the heart of colloidal and interfacial science. The standard mean-field Poisson-Boltzmann (PB) theory is incapable of modeling many phenomena originated from ion correlation. An important…

Soft Condensed Matter · Physics 2022-09-26 Nikhil R. Agrawal , Rui Wang

The properties of ionic solutions between charged surfaces are often studied within the Poisson-Boltzmann framework, by finding the electrostatic potential profile. For example, the osmotic pressure between two charged planar surfaces can…

Soft Condensed Matter · Physics 2022-08-04 Ram M. Adar , David Andelman

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

The ion distribution of electrolytes near interfaces with dielectric contrast has important consequences for electrochemical processes and many other applications. To date, most studies of such systems have focused on geometrically simple…

Soft Condensed Matter · Physics 2018-11-14 Huanxin Wu , Honghao Li , Francisco J. Solis , Monica Olvera de la Cruz , Erik Luijten

The origin of the apparent negative charge at hydrophobic-water interfaces has fueled one of the biggest debates in physical chemistry for several decades. The most common interpretation given to explain this observation is that negatively…

Chemical Physics · Physics 2020-03-25 Emiliano Poli , Kwang H. Jong , Ali Hassanali

We show that charge inversion, i.e. interfacial charges attracting counterions in excess of their own nominal charge, is a general effect that takes place in most charged systems next to aqueous solutions with multivalent ions and identify…

Soft Condensed Matter · Physics 2007-05-23 J. Faraudo , A. Travesset

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

We study, using Monte Carlo simulations, the interaction between charged colloidal particles confined to the air-water interface. The dependence of force on ionic strength and counterion valence is explored. For 1:1 electrolyte, we find…

Soft Condensed Matter · Physics 2018-02-05 Matheus Girotto , Alexandre P. dos Santos , Yan Levin

Electrostatic charging of insulating fine particles can be responsible for numerous phenomena ranging from lightning in volcanic plumes to dust explosions. However, even basic aspects of how fine particles become charged are still unclear.…

Materials Science · Physics 2018-04-04 Victor Lee , Nicole M. James , Scott Waitukaitis , Heinrich M. Jaeger

The interaction between charged bodies in an ionic solution is a general problem in colloid physics and becomes a central topic in the study of biological systems where the electrostatic interaction between proteins, nucleic acids,…

Soft Condensed Matter · Physics 2015-05-13 Fabien Paillusson , Maria Barbi , Jean-Marc Victor

In this chapter we review the electrostatic properties of charged membranes in aqueous solutions, with or without added salt, employing simple physical models. The equilibrium ionic profiles close to the membrane are governed by the…

Soft Condensed Matter · Physics 2023-01-05 Tomer Markovich , David Andelman , Rudi Podgornik

We consider a variational model for a charge density $u\in\{-1,1\}$ on a (hyper)plane, with a short-range attraction coming from the interfacial energy and a long-range repulsion coming from the electrostatic energy. This competition leads…

Analysis of PDEs · Mathematics 2020-04-06 Katarina Bellova , Antoine Julia , Felix Otto

We present a theory for phase-separated liquid coacervates with salt, taking into account spatial heterogeneities and interfacial profiles. We find that charged layers of alternating sign can form around the interface while the bulk phases…

Soft Condensed Matter · Physics 2024-08-07 Arghya Majee , Christoph A. Weber , Frank Jülicher

The importance of electrostatic interactions in soft matter and biological systems can often be traced to non-uniform charge effects, which are commonly described using a multipole expansion of the corresponding charge distribution. The…

Soft Condensed Matter · Physics 2018-04-23 Anže Lošdorfer Božič

Recent measurements of microsphere interactions in diverse media suggest that the standard dielectric-continuum models of solution-phase interactions are fundamentally incomplete. Experiments indicate that the interactions of charged…

Soft Condensed Matter · Physics 2026-05-12 Ali Behjatian , Madhavi Krishnan

We re-examine a familiar problem given in introductory physics courses, about determining the induced charge distribution on an uncharged ``infinitely-large'' conducting plate when placing parallel to it a uniform charged dielectric plate…

Classical Physics · Physics 2022-11-07 Quy C. Tran , Nam H. Nguyen , Thach A. Nguyen , Trung Phan

Uncompensated charges do not occur in Nature and any local charge should be a result of charge separation. Dissociable chemical groups at interfaces in contact with ions in solution, whose chemical equilibrium depends both on short-range…

Soft Condensed Matter · Physics 2019-02-21 Yael Avni , David Andelman , Rudolf Podgornik

In this paper the problem of surface charge of the lipid membrane immersed in the physiological solution is considered. It is shown that both side of the bilayer phospholipid membrane surface are negatively charged. A self-consistent model…

Biological Physics · Physics 2015-05-14 M. Pekker , M. N. Shneider

The electrostatic interaction between pairs of spherical or macroscopically long, parallel cylindrical colloids trapped at fluid interfaces is studied theoretically for the case of small inter-particle separations. Starting from the…

Soft Condensed Matter · Physics 2018-11-30 Arghya Majee , Markus Bier , S. Dietrich