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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

In this paper, we study electrostatic properties between two similar or oppositely charged surfaces immersed in an electrolyte solution by using mean-field approach accounting for solvent polarization and non-uniform size effect. Applying a…

Soft Condensed Matter · Physics 2022-02-11 Jun-Sik Sin

We investigate the complexation of a highly charged sphere with a long flexible polyelectrolyte, \textit{both negatively charged} in salt free environment. Electroneutrality is insured by the presence of divalent counterions. Using…

Soft Condensed Matter · Physics 2007-05-23 Rene Messina , Christian Holm , Kurt Kremer

Plane wave density functional theory codes generally assume periodicity in all three dimensions. This causes difficulties when studying charged systems, for instance energies per unit cell become infinite, and, even after being renormalised…

Materials Science · Physics 2021-04-13 MJ Rutter

We propose a detailed description of the structure of the layer formed by polyelectrolyte chains adsorbed onto an oppositely charged surface in the semi-dilute regime. We combine the mean-field Poisson-Boltzmann-Edwards theory and the…

Soft Condensed Matter · Physics 2019-02-20 Manoel Manghi , Miguel Aubouy

We develop a fast method for computing the electrostatic energy and forces for a collection of charges in doubly-periodic slabs with jumps in the dielectric permittivity at the slab boundaries. Our method achieves spectral accuracy by using…

Numerical Analysis · Mathematics 2021-06-16 Ondrej Maxian , Raul P. Peláez , Leslie Greengard , Aleksandar Donev

We explore, using the recently developed efficient Monte Carlo simulation method, the interaction of an anionic polyelectrolyte solution with a like-charged dielectric surface. In addition to polyions, the solution also contains salt with…

Soft Condensed Matter · Physics 2018-01-12 Alexandre P. dos Santos , Matheus Girotto , Yan Levin

In this thesis we study the lateral electrostatic interaction between a pair of non-identical, moderately charged colloidal particles trapped at an electrolyte interface in the limit of short inter-particle separations. Using a simplified…

Soft Condensed Matter · Physics 2017-10-17 Timo Schmetzer

The wetting of a charged wedge-like wall by an electrolyte solution is investigated by means of classical density functional theory. As in other studies on wedge wetting, this geometry is considered as the most simple deviation from a…

Soft Condensed Matter · Physics 2018-05-25 Maximilian Mußotter , Markus Bier

In the study of colloidal, biological and electrochemical systems, it is customary to treat surfaces, macromolecules and electrodes as homogeneously charged. This simplified approach is proven successful in most cases, but fails to describe…

Soft Condensed Matter · Physics 2022-08-04 Ram M. Adar , David Andelman , Haim Diamant

We present a method of measuring the charge density on dielectric surfaces. Similar to electrostatic force microscopy we record the electrostatic interaction between the probe and the sample surface, but at large tip-sample distances. For…

Materials Science · Physics 2015-05-19 Florian Johann , Elisabeth Soergel

Grand canonical Monte Carlo simulation results are reported for an electric double layer modelled by a planar charged hard wall, anisotropic shape cations, and spherical anions at different electrolyte concentrations and asymmetric…

Soft Condensed Matter · Physics 2016-03-09 M. Kaja , S. Lamperski , W. Silvestre-Alcantara , L. B. Bhuiyan , D. Henderson

In electrochemical systems, the structure of electrical double layers (EDLs) near electrode surfaces is crucial for energy conversion and storage functions. While the electrodes in real-world systems are usually heterogeneous, to date the…

The problem of the equilibrium state of the charged many-particle system above dielectric surface is formulated.We consider the case of the presence of the external attractive pressing field and the case of its absence. The equilibrium…

Statistical Mechanics · Physics 2009-05-21 Dmytro M. Lytvynenko , Yuriy V. Slyusarenko

We consider an electrolyte solution confined by semipermeable membranes in contact with a salt-free solvent. Membranes are uncharged, but since small counter-ions leak-out into infinite salt-free reservoirs, we observe a distance-dependent…

Soft Condensed Matter · Physics 2014-08-19 Salim R. Maduar , Olga I. Vinogradova

A parallel plate capacitor containing an electrolytic solution is the simplest model of a supercapacitor, or electric double layer capacitor. Using both analytical and numerical techniques, we solve the Poisson-Nernst-Planck equations for…

Soft Condensed Matter · Physics 2025-10-02 Ivan Palaia , Adelchi J. Asta , Megh Dutta , Patrick B. Warren , Benjamin Rotenberg , Emmanuel Trizac

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

Electrolyte theories enable to describe the structural and dynamical properties of simple electrolytes in solution, such as sodium chloride in water. Using these theories for aqueous solutions of charged nanoparticles is a straightforward…

Soft Condensed Matter · Physics 2020-02-03 Vincent Dahirel , Olivier Bernard , Marie Jardat

The standard Maxwell formulation of the problem of polarized dielectrics suffers from a number of difficulties, both conceptual and practical. These difficulties are particularly significant in the case of liquid interfaces, where the…

Soft Condensed Matter · Physics 2015-06-18 Dmitry V. Matyushov

We examine electrolyte systems confined between two parallel, grounded metal plates using a field-theoretic approach truncated at one-loop order. For symmetric electrolytes, the density distribution of the ions is non-uniform, with a…

Soft Condensed Matter · Physics 2007-05-23 T. Brandes , L. Lue
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