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The interaction between two adjacent charged surfaces immersed in aqueous solution is known to be affected by charge regulation - the modulation of surface charge as two charged surfaces approach each other. This phenomenon is particularly…

Soft Condensed Matter · Physics 2022-07-26 Tal Obstbaum , Uri Sivan

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

Charge regulation is an important aspect of electrostatics in biological and colloidal systems, where the charges are generally not fixed, but depend on the environmental variables. Here, we analyze the charge regulation mechanism in…

Soft Condensed Matter · Physics 2018-08-01 Anže Lošdorfer Božič , Rudolf Podgornik

We study the problem of charge regulation and its effects on electrostatic interactions between dissociable charge groups immersed in a univalent electrolyte, within a family of one dimensional exactly solvable models. We consider the case…

Soft Condensed Matter · Physics 2015-06-23 A. C. Maggs , R. Podgornik

We present a theory which allows us to calculate the interaction potential between charge-regulated metal nanoparticles inside an acid-electrolyte solution. The approach is based on the recently introduced model of charge regulation which…

Soft Condensed Matter · Physics 2020-12-11 Amin Bakhshandeh , Alexandre P. dos Santos , Yan Levin

Nanoparticles in solution acquire charge through dissociation or association of surface groups. Thus, a proper description of their electrostatic interactions requires the use of charge-regulating boundary conditions rather than the…

Soft Condensed Matter · Physics 2021-04-07 Tine Curk , Erik Luijten

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

In most electronic devices, electric current of both types (electrons and holes) flows through a junction. Usually the boundary conditions have been formulated exclusively for open circuit. The boundary conditions proposed here bypass this…

Materials Science · Physics 2009-11-07 O. Yu. Titov , J. Giraldo , Yu. G. Gurevich

We generalize the concept of charge regulation of ionic solutions, and apply it to complex fluids with mobile macro-ions having internal non-electrostatic degrees of freedom. The suggested framework provides a convenient tool for…

Soft Condensed Matter · Physics 2018-01-17 Tomer Markovich , David Andelman , Rudi Podgornik

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 study charge regulation of colloidal particles inside aqueous electrolyte solutions. To stabilize colloidal suspension against precipitation, colloidal particles are synthesized with either acidic or basic groups on their surface. In…

Soft Condensed Matter · Physics 2020-09-16 Amin Bakhshandeh , Derek Frydel , Yan Levin

Bound charge is a useful construct for calculating the electrostatic field of polarized material, and it represents a perfectly genuine accumulation of charge. But is such a material in every respect equivalent to a particular configuration…

Classical Physics · Physics 2015-09-22 David J. Griffiths , V. Hnizdo

The properties of surfaces with charge-regulated patches are studied using non-linear Poisson-Boltzmann theory. Using a mode expansion to solve the non-linear problem efficiently, we reveal the charging behaviour of Debye-length sized…

Soft Condensed Matter · Physics 2015-05-20 Niels Boon , René van Roij

Individual colloids often carry a charge as a result of the dissociation (or adsorption) of weakly-ionized surface groups. The magnitude depends on the precise chemical environment surrounding a particle, which in a concentrated dispersion…

Soft Condensed Matter · Physics 2017-12-12 James Hallett , David Gillespie , Robert Richardson , Paul Bartlett

Thermodynamic properties of charge-stabilised colloidal suspensions depend sensitively on the effective charge of the macroions, which can be substantially lower than the bare charge in the case of strong counterion-macroion association. A…

Soft Condensed Matter · Physics 2011-06-28 Alan R. Denton

We consider the structure of current and stress tensor two-point functions in conformal field theory with a boundary. The main result of this paper is a relation between a boundary central charge and the coefficient of a displacement…

High Energy Physics - Theory · Physics 2017-12-06 Christopher P. Herzog , Kuo-Wei Huang

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 develop a systematic approach to calculating the electrostatic force between point charges in an arbitrary geometry with arbitrary boundary conditions. When the boundary is present, the simple expression for the force acting on a charge…

Classical Physics · Physics 2007-05-23 Alexander Silbergleit , Ilya Nemenman , Ilya Mandel

A set of four scalar conditions involving normal components of the fields D and B and their normal derivatives at a planar surface is introduced, among which different pairs can be chosen to represent possible boundary conditions for the…

Classical Physics · Physics 2015-05-13 I. V. Lindell , A. H. Sihvola

Image charge effect is a fundamental problem in electrostatics. However, a proper treatment at the continuum level for many-ion systems, such as electrolyte solutions or ionic liquids, remains an open theoretical question. Here, we…

Soft Condensed Matter · Physics 2024-10-23 Tingtao Zhou , Dorian Bruch , Zhen-Gang Wang
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