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In this paper, we theoretically study the electrostatic interaction between a pair of identical colloids with constant surface potentials sitting in close vicinity of each other at a fluid interface. By employing a simplified yet reasonable…

Soft Condensed Matter · Physics 2020-07-29 Rick Bebon , Arghya Majee

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

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

In situations involving large potentials or surface charges, the Poisson Boltzman(PB) equation has shortcomings because it neglects ion-ion interactions and steric effects. This has been widely recognized by the electrochemistry community,…

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

Based on a Debye-Hueckel approach to the one-component plasma we propose a new free energy for incorporating ionic correlations into Poisson-Boltzmann like theories. Its derivation employs the exclusion of the charged background in the…

Soft Condensed Matter · Physics 2009-10-31 Marcia C. Barbosa , Markus Deserno , Christian Holm

The remarkably low experimental values of the capacitance data of carbon based materials in contact with water solvent needs to be explained from a microscopic theory in order to optimize the efficiency of these materials. We show that this…

Soft Condensed Matter · Physics 2015-06-04 Sahin Buyukdagli , Tapio Ala-Nissila

Electrostatic correlations and variable permittivity of electrolytes are essential for exploring many chemical and physical properties of interfaces in aqueous solutions. We propose a continuum electrostatic model for the treatment of these…

Soft Condensed Matter · Physics 2015-06-23 Manman Ma , Zhenli Xu

A modified Poisson-Nernst-Planck system in a bounded domain with mixed Dirichlet-Neumann boundary conditions is analyzed. It describes the concentrations of ions immersed in a polar solvent and the correlated electric potential due to the…

Analysis of PDEs · Mathematics 2023-05-25 Ansgar Jüngel , Annamaria Massimini

The electrostatic screening length predicted by Debye-H\"uckel theory decreases with increasing ionic strength, but recent experiments have found that the screening length can instead increase in concentrated electrolytes. This phenomenon,…

Soft Condensed Matter · Physics 2021-10-13 Emily Krucker-Velasquez , James W. Swan

Anions generally associate more favorably with the air-water interface than cations. In addition to solute size and polarizability, the intrinsic structure of the unperturbed interface has been discussed as an important contributor to this…

Soft Condensed Matter · Physics 2021-03-25 Stephen J. Cox , Dayton G. Thorpe , Patrick R. Shaffer , Phillip L. Geissler

Electronic charge delocalization on the molecular backbones of ionic liquid-forming ions substantially impacts their molecular polarizabilities. Density functional theory calculations of polarizabilities and volumes of many cations and…

Soft Condensed Matter · Physics 2024-01-31 C. D. Rodriguez-Fernandez , E. Lopez Lago , C. Schroder , L. M. Varela

We present a fully analytical integration of the Maxwell stress tensor and derive exact relations for interparticle forces in systems of multiple dielectric spheres immersed in a polarizable ionic solvent, within the framework of the…

Soft Condensed Matter · Physics 2025-12-12 Sergii V. Siryk , Walter Rocchia

We analyze the simplest problem of electrochemical relaxation in more than one dimension - the response of an uncharged, ideally polarizable metallic sphere (or cylinder) in a symmetric, binary electrolyte to a uniform electric field. In…

Materials Science · Physics 2009-11-11 Kevin T. Chu , Martin Z. Bazant

The conductivity of ionic solutions is arguably their most important trait, being widely used in electrochemical, biochemical, and environmental applications. The Debye-H\"uckel-Onsager theory successfully predicts the conductivity at very…

Soft Condensed Matter · Physics 2023-01-03 Yael Avni , Ram M. Adar , David Andelman , Henri Orland

X-ray reflectivity studies demonstrate the condensation of a monovalent ion at the electrified interface between electrolyte solutions of water and 1,2-dichloroethane. Predictions of the ion distributions by standard Poisson-Boltzmann…

The Poisson-Boltzmann (PB) equation provides a mean-field theory of electrolyte solutions at interfaces and in confinement, describing how ions reorganize close to charged surfaces to form the so-called electrical double layer (EDL), with…

Soft Condensed Matter · Physics 2024-09-10 Cecilia Herrero , Laurent Joly

The results concerning the $e^+e^-$ production in peripheral highly relativistic heavy-ion collisions presented in a recent paper by Baltz {\em{et al.}} are rederived in a very straightforward manner. It is shown that the solution of the…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. Aste , G. Baur , K. Hencken , D. Trautmann , G. Scharf

We propose a nonlocal Poisson-Fermi model for ionic solvent that includes ion size effects and polarization correlations among water molecules in the calculation of electrostatic potential. It includes the previous Poisson-Fermi models as…

Chemical Physics · Physics 2016-08-03 Dexuan Xie , Jinn-Liang Liu , Bob Eisenberg , L. Ridgway Scott

The interaction of particles in an electrolytic medium can be calculated by solving the Poisson equation inside the solutes and the linearized Poisson--Boltzmann equation in the solvent, with suitable boundary conditions at the interfaces.…

Soft Condensed Matter · Physics 2025-12-12 Sergii V. Siryk , Walter Rocchia

Phase separation in salt-free symmetric mixtures of oppositely charged rodlike polyelectrolytes is studied using quasi-analytical calculations. Stability analyses for the isotropic-isotropic and the isotropic-nematic phase transitions in…

Soft Condensed Matter · Physics 2010-07-20 Rajeev Kumar , Debra Audus , Glenn H. Fredrickson
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