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A new modified Poisson-Boltzmann equation accounting for the finite size of the ions valid for realistic salt-free concentrated suspensions has been derived, extending the formalism developed for pure salt-free suspensions [Roa et al.,…

Soft Condensed Matter · Physics 2017-09-13 Rafael Roa , Félix Carrique , Emilio Ruiz-Reina

Surface sensitive synchrotron x-ray scattering studies were performed to obtain the distribution of monovalent ions next to a highly charged interface. A lipid phosphate (dihexadecyl hydrogen-phosphate) was spread as a monolayer at the…

Soft Condensed Matter · Physics 2007-05-23 Wei Bu , David Vaknin , Alex Travesset

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

Near-critical binary mixtures containing ions and confined between two charged and selective surfaces are studied within a Landau-Ginzburg theory extended to include electrostatic interactions. Charge density profiles and the effective…

Soft Condensed Matter · Physics 2012-02-28 Faezeh Pousaneh , Alina Ciach , Anna Maciolek

Many theoretical studies were devoted in the past to ion-specific effects, trying to interpret a large body of experimental evidence, such as surface tension at air/water interfaces and force measurements between charged objects. Although…

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

We study suspensions of hydrophobic charged colloidal spheres dispersed in a demixed oil-water mixture by means of a modified Poisson-Boltzmann theory, taking into account image charge effects and partitioning of the monovalent ions. We…

Soft Condensed Matter · Physics 2016-08-14 Jos Zwanikken , René van Roij

We consider two charged semipermeable membranes, which bound bulk electrolyte solutions and are separated by a thin film of salt-free liquid. Small counter-ions permeate into the gap, which leads to a steric charge separation in the system.…

Soft Condensed Matter · Physics 2016-11-23 Salim R. Maduar , Olga I. Vinogradova

The screened Coulomb interaction between uniformly charged flat plates is considered at very small plate separations for which the Debye layers are strongly overlapped, in the limit of small electrical potentials. If the plates are of…

Soft Condensed Matter · Physics 2017-02-06 Sandip Ghosal , John D. Sherwood

The adsorption of large ions from solution to a charged surface is investigated theoretically. A generalized Poisson--Boltzmann equation, which takes into account the finite size of the ions is presented. We obtain analytical expressions…

Soft Condensed Matter · Physics 2009-10-31 I. Borukhov , D. Andelman , H. Orland

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

The classical Poisson-Boltzmann (PB) theory of electrolytes assumes a dilute solution of point charges with mean-field electrostatic forces. Even for very dilute solutions, however, it predicts absurdly large ion concentrations (exceeding…

Chemical Physics · Physics 2007-05-23 Mustafa Sabri Kilic , Martin Z. Bazant , Armand Ajdari

Most organic and inorganic surfaces (e.g., glass, nucleic acids or lipid membranes) become charged in aqueous solutions. The resulting ionic distribution induces effective interactions between the charged surfaces. Stacks of like-charged…

The interaction between surface patches of proteins with different surface properties has a vital role to play driving conformational changes of proteins in different salt solutions. We demonstrate the existence of ion-specific attractive…

Soft Condensed Matter · Physics 2012-01-06 Eduardo R. A. Lima , Mathias Boström , Nadine Schwierz , Bo E. Sernelius , Frederico W. Tavares

We develop a general formalism to investigate the effect of quenched fixed charge disorder on effective electrostatic interactions between charged surfaces in a one-component (counterion-only) Coulomb fluid. Analytical results are…

Soft Condensed Matter · Physics 2009-11-11 Ali Naji , Rudolf Podgornik

We study the ionic distribution near a charged surface. A new method for performing Monte Carlo simulations in this geometry is discussed. A theory is then presented that allows us to accurately reproduce the density profiles obtained in…

Chemical Physics · Physics 2012-11-09 Alexandre P. dos Santos , Yan Levin

We predict the nature (attractive or repulsive) and range (exponentially screened or long-range power law) of the electrostatic interactions of oppositely charged and planar plates as a function of the salt concentration and surface charge…

Soft Condensed Matter · Physics 2012-01-31 Dan Ben-Yaakov , Yoram Burak , David Andelman , S. A. Safran

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

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

The interaction force between likely charged particles/surfaces is usually repulsive due to the Coulomb interaction. However, the counterintuitive like-charge attraction in electrolytes has been frequently observed in experiments, which has…

Soft Condensed Matter · Physics 2016-11-08 Pei Liu , Manman Ma , Zhenli Xu

The solution of the Poisson--Boltzmann equation for counterions confined between two charged plates is known analytically up to a constant, namely, the ion density in the middle of the channel. This quantity is relevant also because it…

Computational Physics · Physics 2018-09-06 Andrei Bazarenko , Marcello Sega