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We study a two-dimensional model for a long cylindrical stiff charged macroion immersed in a charge-asymmetric electrolyte with charge ratio +2/-1. The model is integrable and it allows an exact analytical determination of the effective…

Soft Condensed Matter · Physics 2007-05-23 Gabriel Tellez

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…

Soft Condensed Matter · Physics 2019-01-21 I. Palaia , M. Trulsson , L. Samaj , E. Trizac

Charge-stabilized colloidal suspensions can be conveniently described by formally reducing the macroion-microion mixture to an equivalent one-component system of pseudo-particles. Within this scheme, the utility of a linear response…

Soft Condensed Matter · Physics 2009-10-31 A. R. Denton

In this paper, we theoretically study the electrostatic interaction between a pair of identical colloids with constant surface potentials sitting in close vicinity of each other at a fluid interface. By employing a simplified yet reasonable…

Soft Condensed Matter · Physics 2020-07-29 Rick Bebon , Arghya Majee

The electrostatic potential of a highly charged disc (clay platelet) in an electrolyte is investigated in detail. The corresponding non-linear Poisson-Boltzmann (PB) equation is solved numerically, and we show that the far-field behaviour…

Soft Condensed Matter · Physics 2009-11-10 R. Agra , E. Trizac , L. Bocquet

Strong coupling phenomena, such as the like charged macroions attraction, opposite charged macroions repulsion, charge renormalization or charge inversion, are known to be mediated by multivalent counterions. Most theories treat the…

Soft Condensed Matter · Physics 2016-02-03 Sandipan Dutta , Y. S. Jho

We study the interaction between two charge regulating spherical macroions with dielectric interior and dissociable surface groups immersed in a monovalent electrolyte solution. The charge dissociation is modelled via the…

Soft Condensed Matter · Physics 2023-12-11 Hu Ruixuan , Arghya Majee , Jure Dobnikar , Rudolf Podgornik

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

An effective pair potential for systems of uniformly charged lamellar colloids in the presence of an electrolytic solution of microscopic co- and counterions is derived. The charge distribution on the discs is expressed as a collection of…

Soft Condensed Matter · Physics 2009-10-31 D. G. Rowan , J. -P. Hansen , E. Trizac

We present a simple model for the possible mechanism of appearance of attraction between like charged polyions inside a polyelectrolyte solution. The attraction is found to be short ranged, and exists only in presence of multivalent…

Soft Condensed Matter · Physics 2009-10-31 Jeferson J. Arenzon , Juergen F. Stilck , Yan Levin

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…

Soft Condensed Matter · Physics 2009-10-31 B. I. Shklovskii

We are interested in rationalizing the phenomenon of like-charge attraction between charged bodies, such as a pair of colloids, in the strong coupling regime. The two colloids are modelled as uniformly charged parallel plates, neutralized…

Soft Condensed Matter · Physics 2025-01-13 L. Samaj , E. Trizac , M. Trulsson

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…

Soft Condensed Matter · Physics 2021-03-03 Michiel Sprik

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…

Soft Condensed Matter · Physics 2016-08-17 Arghya Majee , Markus Bier , S. Dietrich

We study sedimentation equilibrium of low-salt suspensions of binary mixtures of charged colloids, both by Monte Carlo simulations of an effective colloids-only system and by Poisson-Boltzmann theory of a colloid-ion mixture. We show that…

Soft Condensed Matter · Physics 2009-11-11 M. Dijkstra , J. Zwanikken , R. van Roij

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…

Soft Condensed Matter · Physics 2009-10-31 Mark Ospeck , Seth Fraden

Effective electrostatic interactions between colloidal particles, coated with polyelectrolyte brushes and suspended in an electrolyte solvent, are described via linear response theory. The inner cores of the macroions are modeled as hard…

Soft Condensed Matter · Physics 2009-11-10 Hao Wang , Alan R. Denton

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…

Soft Condensed Matter · Physics 2012-01-19 Olga I. Vinogradova , Lyderic Bocquet , Artem N. Bogdanov , Roumen Tsekov , Vladimir Lobaskin

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

Despite decades of intensive studies, the effective interactions between strongly charged colloids still remain elusive. Here we show that a strongly charged surface with a layer of condensed counter- ions behaves effectively as a…

Soft Condensed Matter · Physics 2011-07-12 Xiangjun Xing , Zhenli Xu , Hongru Ma