English
Related papers

Related papers: Ionic Size Effects on the Poisson-Boltzmann Theory

200 papers

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

Ion transport measurements are widely used as an indirect probe for various properties of confined electrolytes. It is generally assumed that the ion concentration in a nanoscale channel is equal to the ion concentration in the macroscopic…

Soft Condensed Matter · Physics 2023-04-05 Paul Robin , Adrien Delahais , Lydéric Bocquet , Nikita Kavokine

We derive an equation capable of treating both the electrostatic and non-electrostatic interactions in the charged liquids. The equation derived is a complex version of the Poisson-Boltzmann equation, in which the non-electrostatic…

Soft Condensed Matter · Physics 2025-02-12 Li Wan

Metal nanoparticles are receiving increased scientific attention owing to their unique physical and chemical properties that make them suitable for a wide range of applications in diverse fields, such as electrochemistry, biochemistry, and…

Chemical Physics · Physics 2020-10-09 Bendix Petersen , Rafael Roa , Joachim Dzubiella , Matej Kanduc

The Poisson Nernst-Planck equations for charge concentration and electric potential in a ball is a model of electro-diffusion of ions in the head of a neuronal dendritic spine. We study the relaxation and the steady state when an initial…

Classical Physics · Physics 2015-05-12 Z. Schuss J. Cartailler , D. Holcman

The combinatorial explosion of empirical parameters in tens of thousands presents a tremendous challenge for extended Debye-H\"uckel models to calculate activity coefficients of aqueous mixtures of most important salts in chemistry. The…

Soft Condensed Matter · Physics 2018-03-14 Jinn-Liang Liu , Bob Eisenberg

We present a continuation of our theoretical research into the influence of co-solvent polarizability on a differential capacitance of the electric double layer [EPL 111, 28002 (2015)]. We formulate a modified Poisson-Boltzmann theory,…

Soft Condensed Matter · Physics 2016-05-11 Yu. A. Budkov , A. L. Kolesnikov , M. G. Kiselev

Non-local electrostatic interactions associated with the finite solvent size and ion polarizability are investigated within the mean-field linear response theory. To this end, we introduce a field theoretic model of a polar liquid composed…

Soft Condensed Matter · Physics 2015-06-15 Sahin Buyukdagli , Tapio Ala-Nissila

An approximate analytical solution to the fluctuation potential problem in the modified Poisson-Boltzmann theory of electrolyte solutions in the restricted primitive model is presented. The solution is valid for all inter-ionic distances,…

Statistical Mechanics · Physics 2017-12-15 E. O. Ulloa-Dávila , L. B. Bhuiyan

The interaction between charged bodies in an ionic solution is a general problem in colloid physics and becomes a central topic in the study of biological systems where the electrostatic interaction between proteins, nucleic acids,…

Soft Condensed Matter · Physics 2015-05-13 Fabien Paillusson , Maria Barbi , Jean-Marc Victor

The organization of water molecules and ions between charged mineral surfaces determines the stability of colloidal suspensions and the strength of phase-separated particulate gels. In this article we assemble a density functional that…

Soft Condensed Matter · Physics 2024-05-15 Thomas Petersen

Simulations for the density and potential profiles of the ions in the planar electrical double layer of a model electrolyte or an ionic liquid are reported. The ions of a real electrolyte or an ionic liquid are usually not spheres; in ionic…

Soft Condensed Matter · Physics 2016-03-08 W. Silvestre-Alcantara , L. B. Bhuiyan , S. Lamperski , M. Kaja , D. Henderson

Multipolar plasmon oscillation frequencies and corresponding damping rates for nanospheres formed of the simplest free-electron metals are studied. The possibility of controlling plasmon features by choosing the size and dielectric…

Optics · Physics 2008-04-15 A. Derkachova , K. Kolwas

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

We propose a simple approximation scheme to compute the effective charge of highly charged colloids (spherical or cylindrical with infinite length). Within non-linear Poisson-Boltzmann theory, we start from an expression of the effective…

Soft Condensed Matter · Physics 2009-11-07 Emmanuel Trizac , Miguel Aubouy , Lyderic Bocquet

The study of the electrical double layer lies at the heart of colloidal and interfacial science. The standard mean-field Poisson-Boltzmann (PB) theory is incapable of modeling many phenomena originated from ion correlation. An important…

Soft Condensed Matter · Physics 2022-09-26 Nikhil R. Agrawal , Rui Wang

A model system is proposed to investigate the chemical equilibrium and mechanical stability of biological spherical-like nanoshells in contact with an aqueous solution with added dissociated electrolyte of a given concentration. The ionic…

Soft Condensed Matter · Physics 2020-02-06 Thiago Colla , Amin Bakhshandeh , Yan Levin

The Vlasov-Poisson system for ions is a kinetic equation for dilute, unmagnetised plasma. It describes the evolution of the ions in a plasma under the assumption that the electrons are thermalized. Consequently, the Poisson coupling for the…

Analysis of PDEs · Mathematics 2026-05-15 Megan Griffin-Pickering

Onsager's variational principle is generalized to address the diffusive dynamics of an electrolyte solution composed of charge-regulated macro-ions and counterions. The free energy entering the Rayleighian corresponds to the…

Soft Condensed Matter · Physics 2025-05-26 Bin Zheng , Shigeyuki Komura , David Andelman , Rudolf Podgornik

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