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Related papers: Test-charge theory for the electric double layer

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The equilibrium electric double layer (EDL) that surrounds the colloidal particles is determinant for the response of a suspension under a variety of static or alternating external fields. An ideal salt-free suspension is composed by the…

Soft Condensed Matter · Physics 2017-09-13 R. Roa , F. Carrique , E. Ruiz-Reina

Many theoretical studies were devoted in the past to ion-specific effects, trying to interpret a large body of experimental evidence, such as surface tension at air/water interfaces and force measurements between charged objects. Although…

Soft Condensed Matter · Physics 2014-04-22 Dan Ben-Yaakov , David Andelman , Rudi Podgornik

Progress in electrochemical applications of ionic liquids builds on an understanding of electrical double-layer. This computational study focuses on structure-determined quantities -- maximum packing density, potentials and capacitances --…

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 properties of surfaces with charge-regulated patches are studied using non-linear Poisson-Boltzmann theory. Using a mode expansion to solve the non-linear problem efficiently, we reveal the charging behaviour of Debye-length sized…

Soft Condensed Matter · Physics 2015-05-20 Niels Boon , René van Roij

A new one-dimensional fluid model for ions in weakly-ionized plasma is proposed. The model differs from the existing ones in two aspects. First, a more accurate approximation of the collision terms in the fluid equations is suggested. For…

Plasma Physics · Physics 2017-04-20 I. L. Semenov

Model macroion solutions next to a charged wall show interface \textit{true overcharging}, charge reversal and inversion, and layering. Macroion layering is present, even if the wall or the macroparticle are \textit{uncharged} or if the…

Chemical Physics · Physics 2007-05-23 Marcelo Lozada-Cassou , Felipe Jimenez-Angeles

Electric double layers (EDL) with counterions only, say electrons with the elementary charge $-e$, in thermal equilibrium at the inverse temperature $\beta$ are considered. In particular, we study the effect of the surface charge modulation…

Statistical Mechanics · Physics 2022-07-26 Ladislav Šamaj

Using the specific model of a system of like charged ions confined between two planar like charged surfaces, we compare the predictions for the energy and density profile of four simulation methods available to treat the long range Coulomb…

Statistical Mechanics · Physics 2007-05-23 M. Mazars , J-M. Caillol , J. -J. Weis , D. Levesque

Despite decades of intensive studies, the effective interactions between strongly charged colloids still remain elusive. Here we show that a strongly charged surface with a layer of condensed counter- ions behaves effectively as a…

Soft Condensed Matter · Physics 2011-07-12 Xiangjun Xing , Zhenli Xu , Hongru Ma

We propose a strong-coupling analysis of a polarizable planar interface, in the spirit of a recently introduced Wigner-Crystal formulation. The system is made up of two moieties: a semi-infinite medium (z<0) with permittivity epsilon' while…

Soft Condensed Matter · Physics 2012-01-10 L. Samaj , E. Trizac

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

Mean-field electrostatics is used to calculate the bending moduli of an electric double layer for fixed surface charge density of a macroion in a symmetric 1:1 electrolyte. The resulting expressions for bending stiffness, Gaussian modulus,…

Soft Condensed Matter · Physics 2018-08-06 Guilherme Volpe Bossa , Bjorn K. Berntson , Sylvio May

A self-consistent theory of bulk electrolytes incorporating electrostatic and hard-core interactions on an equal level is applied to the two-dimensional Coulomb liquid with finite ion size. The ionic pair distributions, the structure…

Soft Condensed Matter · Physics 2026-04-10 Sahin Buyukdagli

Charge inversion occurring for smeared-out ions is accompanied by an oscillatory charge density profile, indicating a layering of an alternating charge. The layering effect, however, is not coextensive with charge inversion, and charge…

Soft Condensed Matter · Physics 2016-11-14 Derek Frydel

The standard model for diffuse charge phenomena in colloid science, electrokinetics and biology is the Poisson-Boltzmann mean-field theory, which breaks down for multivalent ions and large surface charge densities due to electrostatic…

Soft Condensed Matter · Physics 2020-02-14 J. Pedro de Souza , Martin Z. Bazant

We study the interaction between heterogeneously charged surfaces in an electrolyte solution by employing classical Density Functional Theory (cDFT) and Monte Carlo simulations. We observe a consistent behavior between cDFT and Monte Carlo…

Soft Condensed Matter · Physics 2023-07-11 Shiqi Zhou , Amin Bakhshandeh

The behavior of a polyelectrolyte adsorbed on a charged surface of high-dielectric constant is studied by both Monte-Carlo simulation and analytical methods. It is found that in a low ionic strength medium, the transition is first-order…

Soft Condensed Matter · Physics 2007-05-23 Chi-Ho Cheng , Pik-Yin Lai

Like-charged macroions attract each other as a result of strong electrostatic correlations in the presence of multivalent counterions or at low temperatures. We investigate the effective electrostatic interaction between i) two like-charged…

Soft Condensed Matter · Physics 2007-05-23 Ali Naji , Roland R. Netz

Understanding overcharging and charge inversion is one of the long-standing challenges in soft matter and biophysics. To study these phenomena, we employ the modified Gaussian renormalized fluctuation theory, which allows for the…

Soft Condensed Matter · Physics 2024-01-01 Nikhil R. Agrawal , Chao Duan , Rui Wang
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