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Related papers: Non-mean-field screening by multivalent counterion…

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Adsorption of multivalent counterions on the charged surface of a macroion is known to lead to inversion of the macroion charge due to the strong lateral correlations of counterions. We consider a nontrivial role of the excluded volume of…

Soft Condensed Matter · Physics 2009-11-07 Toan T. Nguyen , Boris I. Shklovskii

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

Recent Monte Carlo simulations (A. G. Moreira and R. R. Netz: Eur. Phys. J. E {\bf 8} (2002) 33) in the strong Coulomb coupling regime suggest strange counterion electrostatics unlike the Poisson-Boltzmann picture: when…

Soft Condensed Matter · Physics 2020-01-07 Hiroshi Frusawa

It is known that a large, charged body immersed in a solution of multivalent counterions may undergo charge inversion as the counterions adsorb to its surface. We use the theory of charge inversion to examine the case of a deformable,…

Soft Condensed Matter · Physics 2009-09-29 Brian Skinner , B. I. Shklovskii

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 investigate, within a local density functional theory formalism, the interactions between like-charged polyions immersed in a confined electrolyte. We obtain a simple condition for a repulsive effective pair potential, that can be…

Soft Condensed Matter · Physics 2009-10-31 E. Trizac

We investigate the phenomenon of counterion condensation in a solution of highly charged rigid polyelectrolytes within the cell model. A method is proposed which -- based on the charge distribution function -- identifies both the fraction…

Soft Condensed Matter · Physics 2009-10-31 Markus Deserno , Christian Holm , Sylvio May

Thermodynamic properties of charge-stabilised colloidal suspensions are commonly modeled by implementing the mean-field Poisson-Boltzmann (PB) theory within a cell model. This approach models a bulk system by a single macroion, together…

Soft Condensed Matter · Physics 2015-05-18 Alan R. Denton

We study the effective screened electrostatic potential created by a spheroidal colloidal particle immersed in an electrolyte, within the mean field approximation, using Poisson--Botzmann equation in its linear and nonlinear forms, and also…

Statistical Mechanics · Physics 2012-04-27 Carlos Alvarez , Gabriel Tellez

A simple model is presented to calculate the potential of mean force between a polyion and a multivalent counterion inside a polyelectrolite solution. We find that under certain conditions the electrostatic interactions can lead to a strong…

Statistical Mechanics · Physics 2009-11-11 Jürgen F. Stilck , Yan Levin

The possibility that like-charges can attract each other under the mediation of mobile counterions is by now well documented experimentally, numerically, and analytically. Yet, obtaining exact results is in general impossible, or restricted…

Statistical Mechanics · Physics 2016-03-29 Gabriel Tellez , Emmanuel Trizac

Macromolecules, when immersed in a polar solvent like water, become charged by a fixed surface charge density which is compensated by ``counter-ions'' moving out of the surface. Such classical particle systems exhibit poor screening…

Statistical Mechanics · Physics 2015-11-04 Ladislav Šamaj

We investigate a double-layer of penetrable ions near a charged wall. We find a new mechanism for charge reversal that occurs in the weak-coupling regime and, accordingly, the system is suitable for the mean-field analysis. The…

Soft Condensed Matter · Physics 2013-05-06 Derek Frydel , Yan Levin

We study the distribution of multivalent counterions next to a dielectric slab, bearing a quenched, random distribution of charges on one of its solution interfaces, with a given mean and variance, both in the absence and in the presence of…

Soft Condensed Matter · Physics 2015-06-22 Ali Naji , Malihe Ghodrat , Haniyeh Komaie-Moghaddam , Rudolf Podgornik

The effective charge of a rigid polyelectrolyte (PE) approaching an oppositely charged surface is studied. The cases of a weak (annealed) and strongly charged PE with condensed counterions (such as DNA) are discussed. In the most…

Soft Condensed Matter · Physics 2009-10-31 Pierre Sens , Jean-Francois Joanny

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…

Soft Condensed Matter · Physics 2009-11-11 D. Antypov , M. Barbosa , C. Holm

The phase behavior of charge-stabilized colloidal suspensions is modeled by a combination of response theory for electrostatic interparticle interactions and variational theory for free energies. Integrating out degrees of freedom of the…

Soft Condensed Matter · Physics 2009-11-11 Alan R. Denton

We study macroion correlation effects on the thermodynamics of highly charged colloidal suspensions using a mean-field theory and primitive model computer simulations. We suggest a simple way to include the macroion correlations into the…

Soft Condensed Matter · Physics 2009-11-11 Ramon Castaneda-Priego , Luis F. Rojas-Ochoa , Vladimir Lobaskin , J. C. Mixteco-Sanchez

The counterion-condensation transition at charged cylinders is studied using Monte-Carlo simulation methods. Employing logarithmically rescaled radial coordinates, large system sizes are tractable and the critical behavior is determined by…

Soft Condensed Matter · Physics 2009-11-11 Ali Naji , Roland R. Netz

We report a mechanism which can lead to long range attractions between like-charged spherical macroions, stemming from the existence of metastable ionized states. We show that the ground state of a single highly charged colloid plus a few…

Soft Condensed Matter · Physics 2009-10-31 Rene Messina , Christian Holm , Kurt Kremer