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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…

Soft Condensed Matter · Physics 2018-04-30 Arghya Majee , Timo Schmetzer , Markus Bier

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

We investigate the effect of quenched surface charge disorder on electrostatic interactions between two charged surfaces in the presence of dielectric inhomogeneities and added salt. We show that in the linear weak-coupling regime (i.e., by…

Soft Condensed Matter · Physics 2007-05-23 Rudolf Podgornik , Ali Naji

A generalization of the mean-field approach will be derived that will take into account the ion-ion as well as ion-surface non-electrostatic effects on an equal footing, being based on the bulk and surface equations of state in the absence…

Soft Condensed Matter · Physics 2018-06-20 Rudolf Podgornik

In many biological processes highly charged biomolecules are adsorbed into oppositely charged surfaces of macroions and membranes. They form strongly correlated structures close to the surface which can not be explained by the conventional…

Soft Condensed Matter · Physics 2016-03-23 Sandipan Dutta , Y. S. Jho

We investigate numerically and on the scaling level the adsorption of a charged colloid on an oppositely charged flexible membrane. We show that the long ranged character of the electrostatic interaction leads to a wrapping reentrance of…

Biological Physics · Physics 2009-11-10 Christian C. Fleck , Roland R. Netz

We present several aspects of the screening of charged macromolecules in an electrolyte. After a review of the basic mean field approach, based on the linear Debye-Huckel theory, we consider the case of highly charged macromolecules, where…

Soft Condensed Matter · Physics 2012-04-27 Gabriel Tellez

A class of variational schemes for the hydrodynamic-electrodynamic model of lossless free-electron gas in a quasineutral background is developed for high-quality simulations of surface plasmon polaritons. The Lagrangian density of lossless…

Computational Physics · Physics 2019-02-27 Qiang Chen , Lifei Geng , Xiang Chen , Xiaojun Hao , Chuanchuan Wang , Xiaoyang Wang

This chapter deals with charged polymers (polyelectrolytes) in solution and at surfaces. The behavior of polyelectrolytes is markedly different from that of neutral polymers. In bulk solutions, i.e. disregarding the surface effect, there…

Soft Condensed Matter · Physics 2009-09-25 Roland R. Netz , David Andelman

Periodic supercell models of electric double layers formed at the interface between a charged surface and an electrolyte are subject to serious finite size errors and require certain adjustments in the treatment of the long-range…

Chemical Physics · Physics 2024-07-10 Thomas Sayer , Chao Zhang , Michiel Sprik

The problem of charged polymer chains (polyelectrolytes) as they adsorb on a planar surface is addressed theoretically. We review the basic mechanisms and theory underlying polyelectrolyte adsorption on a single surface in two situations:…

Soft Condensed Matter · Physics 2012-01-31 David Andelman , Jean-Francois Joanny

The Poisson-Boltzmann (PB) theory is extensively used to gain insight on charged colloids and biological systems as well as to elucidate fundamental properties of intermolecular forces. Many works were devoted in the past to study PB…

Soft Condensed Matter · Physics 2014-04-22 Dan Ben-Yaakov , David Andelman

We consider the sloshing problem for an incompressible, inviscid, irrotational fluid in an open container, including effects due to surface tension on the free surface. We restrict ourselves to a constant contact angle and seek…

Analysis of PDEs · Mathematics 2017-06-21 Chee Han Tan , Christel Hohenegger , Braxton Osting

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

By molecular dynamics simulation, we study the charge inversion phenomenon of a rod macroion in the presence of polyelectrolyte counterions. We simulate electrophoresis of the macroion under an applied electric field. When both counterions…

Soft Condensed Matter · Physics 2015-06-24 Motohiko Tanaka

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

We develop a general framework for the electrostatic analysis of point charges in multilayer planar structures with arbitrary layer thicknesses and material parameters. Starting from a Hankel-transform analysis, we derive alternative…

Applied Physics · Physics 2026-04-01 George Fikioris , Theodoros T. Koutserimpas , Elias N. Glytsis

Based on a collective description of electrolytes composed of charge-regulated macro-ions and simple salt ions, we analyze their equilibrium charge state in the bulk and their behavior in the vicinity of an external electrified surface. The…

Soft Condensed Matter · Physics 2020-10-06 Yael Avni , Rudolf Podgornik , David Andelman

The interactions between charged colloidal particles in an electrolyte may be described by usual Debye-H\"uckel theory provided the source of the electric field is suitably renormalized. For spherical colloids, we reconsider and simplify…

Soft Condensed Matter · Physics 2007-05-23 E. Trizac , L. Bocquet , M. Aubouy , H. H. von Grunberg

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…

Soft Condensed Matter · Physics 2009-01-20 Marius M. Hatlo , Leo Lue