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We consider counterions in the presence of a single planar surface with a spatially inhomogeneous charge distribution using Monte-Carlo simulations and strong-coupling theory. For high surface charges, multivalent counterions, or pronounced…

Soft Condensed Matter · Physics 2009-11-07 Andre G Moreira , Roland R Netz

Image charge effect is a fundamental problem in electrostatics. However, a proper treatment at the continuum level for many-ion systems, such as electrolyte solutions or ionic liquids, remains an open theoretical question. Here, we…

Soft Condensed Matter · Physics 2024-10-23 Tingtao Zhou , Dorian Bruch , Zhen-Gang Wang

We suggest to include the density of electron charge explicitly in the electron potential of density functional theory, rather than implicitly via exchange-correlation functionals. The advantages of the approach are conceptual and…

Materials Science · Physics 2007-05-23 Werner A. Hofer , Krisztian Palotas

The classical nucleation theory (CNT) concept of a nucleus as a fragment of the bulk new phase fails for nanosized nuclei. An extension of CNT taking into account the properties of the transition region between coexisting bulk phases is…

Chemical Physics · Physics 2017-06-09 Nikolay V. Alekseechkin

Attaining accurate average structural properties in a molecular simulation should be considered a prerequisite if one aims to elicit meaningful insights into a system's behavior. For charged surfaces in contact with an electrolyte solution,…

Materials Science · Physics 2021-03-25 Thomas Sayer , Stephen J. Cox

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

Surfaces of ionic solids interacting with an ionic solution can build up charge by exchange of ions. The surface charge is compensated by a strip of excess charge at the border of the electrolyte forming an electric double layer. These…

Chemical Physics · Physics 2016-12-21 Chao Zhang , Michiel Sprik

Surface charge controls many static and dynamic properties of soft matter and micro/nanofluidic systems, but its unambiguous measurement forms a challenge. Standard characterization methods typically probe an effective surface charge, which…

Soft Condensed Matter · Physics 2018-08-28 Remco Hartkamp , Anne-Laure Biance , Li Fu , Jean-François Dufrêche , Oriane Bonhomme , Laurent Joly

Classical theory of the electric double layer is based on the fundamental assumption of a dilute solution of point ions. There are a number of situations such as high applied voltages, high concentration of electrolytes, systems with…

Fluid Dynamics · Physics 2015-06-11 Brian D. Storey , Martin Z. Bazant

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

We extend our previous study of surface tension of ionic solutions and apply it to the case of acids (and salts) with strong ion-surface interactions. These ion-surface interactions yield a non-linear boundary condition with an effective…

Soft Condensed Matter · Physics 2017-02-17 Tomer Markovich , David Andelman , Rudi Podgornik

We theoretically investigate electrostatic properties between two charged surfaces with a grafted polyelectrolyte layer in an aqueous electrolyte solution by using the Poisson-Boltzmann approach accounting for ion partitioning. In order to…

Soft Condensed Matter · Physics 2022-02-07 Jun-Sik Sin

A simple field theory approach is developed to model the properties of charged, dielectric bodies and their associated counterions. This predictive theory is able to accurately describe the properties of systems (as compared to computer…

Soft Condensed Matter · Physics 2009-01-20 Marius M. Hatlo , Leo Lue

The results for the electrical double layer capacitance and the charge density of ``free ions'' obtained from the mesoscopic theory are compared with the corresponding results of the associative mean spherical approximation. While the first…

Statistical Mechanics · Physics 2026-02-27 O. Patsahan

In a counter-ion only charged fluid, Coulomb coupling is quantified by a single dimensionless parameter. Yet, the theoretical treatment of moderately to strongly coupled charged fluids is a difficult task, central to the understanding of a…

Soft Condensed Matter · Physics 2016-11-03 L. Samaj , A. P. dos Santos , Y. Levin , E. Trizac

In this continuum theory, we propose a mathematical framework to study the mechanical interplay of bulk-surfaces materials undergoing deformation and phase segregation. To this end, we devise a principle of virtual powers with a…

Fluid Dynamics · Physics 2024-01-19 Anne Boschman , Luis Espath , Kris van der Zee

To improve the understanding of the relation between electrode curvature and energy storage mechanisms, a systematic investigation of the correlation between convex and concave electrode surfaces and the differential capacitance of an…

Computational Physics · Physics 2020-03-04 Jannes Seebeck , Peter Schiffels , Sabine Schweizer , Jörg-Rüdiger Hill , Robert Horst Meißner

We investigate the subtle effects of diffuse charge on interfacial kinetics by solving the governing equations for ion transport (Nernst-Planck) with realistic boundary conditions representing reaction kinetics (Butler-Volmer) and…

Soft Condensed Matter · Physics 2007-05-23 A. Bonnefont , F. Argoul , M. Z. Bazant

The capacitance of the double layer formed at a metal/ionic-conductor interface can be remarkably large, so that the apparent width of the double layer is as small as 0.3 \AA. Mean-field theories fail to explain such large capacitance. We…

Soft Condensed Matter · Physics 2010-03-30 Brian Skinner , M. S. Loth , B. I. Shklovskii

We explore the pressure of active particles on curved surfaces and its relation to other interfacial properties. We use both direct simulations of the active systems as well as simulations of an equilibrium system with effective (pair)…

Soft Condensed Matter · Physics 2019-05-14 René Wittmann , Frank Smallenburg , Joseph M. Brader