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A recently proposed local second contact value theorem [Henderson D., Boda D., J. Electroanal. Chem., 2005, 582, 16] for the charge profile of an electric double layer is used in conjunction with the existing Monte Carlo data from the…

Soft Condensed Matter · Physics 2012-07-16 L. B. Bhuiyan , D. Henderson , S. Sokołowski

In the classical model of atomic polarizability, atomic charges are displaced by an applied electric field, assuming the electron cloud remains spherically symmetric but with its center shifted from the nucleus, thereby inducing an electric…

Classical Physics · Physics 2025-02-11 O. F. de Alcantara Bonfim

The properties of a special configuration of a helium-like atomic system, when both electrons are on the surface of a sphere of radius $r$, and angle $\theta$ characterizes their positions on sphere, are investigated. Unlike the previous…

Atomic Physics · Physics 2021-06-22 Evgeny Z. Liverts

Charge profiles in liquid electrolytes are of crucial importance for applications, such as supercapacitors, fuel cells, batteries, or the self-assembly of particles in colloidal or biological settings. However, creating localised (screened)…

Soft Condensed Matter · Physics 2021-03-17 Jeffrey C. Everts , Miha Ravnik

We investigate a double-layer of penetrable ions near a charged wall. We find a new mechanism for charge reversal that occurs in the weak-coupling regime and, accordingly, the system is suitable for the mean-field analysis. The…

Soft Condensed Matter · Physics 2013-05-06 Derek Frydel , Yan Levin

Electrical double layer (EDL) is formed when an electrode is in contact with an electrolyte solution, and is widely used in biophysics, electrochemistry, polymer solution and energy storage. Poisson-Boltzmann (PB) coupled equations provides…

Mesoscale and Nanoscale Physics · Physics 2022-03-02 Cherq Chua , Chun Yun Kee , L. K. Ang , Yee Sin Ang

The effect of fixed discrete colloidal charges in the primitive model is investigated for spherical macroions. Instead of considering a central bare charge, as it is traditionally done, we distribute \textit{discrete} charges randomly on…

Soft Condensed Matter · Physics 2009-10-31 Rene Messina , Christian Holm , Kurt Kremer

The accurate characterization of electrical double layer properties of nanoparticles is of fundamental importance for optimizing their physicochemical properties for specific biotechnological and biomedical applications. In this article, we…

Chemical Physics · Physics 2017-04-05 Christian Hunley , Marcelo Marucho

We study the ionic equilibria and interactions of neutral semi-permeable spherical shells immersed in electrolyte solutions, including polyions. Although the shells are uncharged, only one type of ions of the electrolyte can permeate them,…

Soft Condensed Matter · Physics 2012-07-24 Vladimir Lobaskin , Artem N. Bogdanov , 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

The classical theory of electrokinetic phenomena assumes a dilute solution of point-like ions in chemical equilibrium with a surface whose double-layer voltage is of order the thermal voltage, $k_BT/e = 25$ mV. In nonlinear…

Other Condensed Matter · Physics 2007-05-23 Martin Z. Bazant , Mustafa Sabri Kilic , Brian D. Storey , Armand Ajdari

We present a systematic study of the effect of the ion pairing on the gas-liquid phase transition of hard-core 1:1 electrolyte models. We study a class of dipolar dimer models that depend on a parameter R_c, the maximum separation between…

Statistical Mechanics · Physics 2009-11-07 J. M. Romero-Enrique , L. F. Rull , A. Z. Panagiotopoulos

The electrical double layer for three different topologies of nanopore electrodes is studied, i.e., the interior and exterior electrical double layers of planar, cylindrical and spherical nanopores immersed into a point-ions electrolyte,…

Soft Condensed Matter · Physics 2025-06-10 A. Silva-Caballero , A. Lozada-Hidalgo , M. Lozada-Cassou

When a Coulombic fluid is confined between two parallel charged plates, an exact relation links the difference of ionic densities at contact with the plates, to the surface charges of these boundaries. It no longer applies when the…

Statistical Mechanics · Physics 2015-10-28 Juan Pablo Mallarino , Gabriel Tellez , Emmanuel Trizac

The ion sphere model introduced long ago by Salpeter is placed in a rigorous theoretical setting. The leading corrections to this model for very highly charged but dilute ions in thermal equilibrium with a weakly coupled, one-component…

Plasma Physics · Physics 2007-05-23 Lowell S. Brown , David C. Dooling , Dean L. Preston

Experiments using the Surface Force Apparatus (SFA) have found anomalously long-ranged interactions between charged surfaces in concentrated salt solutions. Ion clustering have been suggested as a possible origin of this behaviour. In this…

Soft Condensed Matter · Physics 2025-08-05 David Ribar , Clifford E. Woodward , Jan Forsman

For binary solvent mixtures composed of ions and two kinds of polar solvents, electric double layer near a charged object is strongly affected by not only the binary solvent composition but also nature of solvents such as volume and dipole…

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

We study the interaction between two neutral plane-parallel dielectric bodies in the presence of a highly asymmetric ionic fluid, containing multivalent as well as monovalent (salt) ions. Image charge interactions, due to dielectric…

Soft Condensed Matter · Physics 2015-06-11 Matej Kanduc , Ali Naji , Jan Forsman , Rudolf Podgornik

Debye-Huckel (DH) theory is extended to treat two-component size- and charge-asymmetric primitive models, focussing primarily on the 1:1 additive hard-sphere electrolyte with, say, negative ion diameters, a--, larger than the positive ion…

Statistical Mechanics · Physics 2009-11-07 Daniel M. Zuckerman , Michael E. Fisher , Stefan Bekiranov

A variational theory is developed to study electrolyte solutions, composed of interacting point-like ions in a solvent, in the presence of dielectric discontinuities and charges at the boundaries. Three important and non-linear…

Soft Condensed Matter · Physics 2013-05-29 Sahin Buyukdagli , Manoel Manghi , John Palmeri