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We present an analytical approach to the strong coupling regime of similarly and highly charged plates in the presence of counter-ions. The procedure is physically transparent and based on an exact expansion around the ground state formed…

Statistical Mechanics · Physics 2011-02-23 L. Samaj , E. Trizac

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 present a personal view on the current state of statistical mechanics of Coulomb fluids with special emphasis on the interactions between macromolecular surfaces, concentrating on the weak and the strong coupling limits. Both are…

Soft Condensed Matter · Physics 2015-06-16 Ali Naji , Matej Kanduč , Jan Forsman , Rudolf Podgornik

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

The influence of the chain degree of ionization on the adsorption of weak polyelectrolytes on neutral and on oppositely and likely charged surfaces is investigated for the first time, by means of Monte Carlo simulations with the mesoscopic…

Biological Physics · Physics 2012-10-02 F. Alarcón , E. Pérez , A. Gama Goicochea

Realistic charged macromolecules are characterized by discrete (rather than homogeneous) charge distributions. We investigate the effects of surface charge discretization on the counterion distribution at the level of mean-field theory…

Soft Condensed Matter · Physics 2007-05-23 Mark L. Henle , Christian D. Santangelo , Deena M. Patel , Philip A. Pincus

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

In this paper we develop a simple theory to study the effects of ionic size on ionic distributions around a charged spherical particle. We include a correction to the regular Poisson-Boltzmann equation in order to take into account the size…

Soft Condensed Matter · Physics 2017-08-30 Thiago Colla , Lucas Nunes Lopes , Alexandre P. dos Santos

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

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

By decomposing the Coulomb interaction into a long distance component appropriate for mean-field theory, and a nonmean-field short distance component, we compute the counterion density near a charged surface for all values of the counterion…

Soft Condensed Matter · Physics 2009-11-11 Christian D. Santangelo

We reformulate the theory of strong electrostatic coupling in order to describe an asymmetric electrolyte solution of monovalent salt ions and polyvalent counterions using field-theoretical techniques and Monte-Carlo simulations. The theory…

Soft Condensed Matter · Physics 2015-05-14 Matej Kanduc , Ali Naji , Jan Forsman , Rudolf Podgornik

Poisson-Boltzmann theory is the cornerstone for soft matter electrostatics. We provide novel exact analytical solutions to this non-linear mean-field approach, for the diffuse layer of ions in the vicinity of a planar or a cylindrical…

Soft Condensed Matter · Physics 2020-01-29 L. Samaj , E. Trizac

We investigate the ion distribution and overcharging at charged interfaces with dielectric inhomogeneities in the presence of asymmetric electrolytes containing polyvalent and monovalent ions. We formulate an effective "dressed counterion"…

Soft Condensed Matter · Physics 2015-03-17 Matej Kanduc , Ali Naji , Jan Forsman , Rudolf Podgornik

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 present an extension to the Poisson-Boltzmann model where the dipolar features of solvent molecules are taken explicitly into account. The formulation is derived at mean-field level and can be extended to any order in a systematic…

Soft Condensed Matter · Physics 2012-01-31 Ariel Abrashkin , David Andelman , Henri Orland

We apply general variational techniques to the problem of the counterion distribution around highly charged objects where strong condensation of counterions takes place. Within a field-theoretic formulation using a fluctuating electrostatic…

Soft Condensed Matter · Physics 2009-11-07 Roland R. Netz , Henri Orland

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

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 evaluate exactly the statistical integral for an inhomogeneous one-dimensional counterion-only Coulomb gas between two charged boundaries and from this compute the effective interaction, or disjoining pressure, between the bounding…

Statistical Mechanics · Physics 2009-08-10 David S. Dean , Ron R. Horgan , Ali Naji , Rudolf Podgornik